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# Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 994759: I am trying to help my grand daughter with 8th grade math. It's not the math that I learned. So can you simplify how to get the answers that she needs and understand how we got the correct answer? Example: y = x -4, on a graph and write out the answer.

Thank you!

Answer by Alan3354(47455)   (Show Source):
You can put this solution on YOUR website!
I am trying to help my grand daughter with 8th grade math. It's not the math that I learned. So can you simplify how to get the answers that she needs and understand how we got the correct answer? Example: y = x -4, on a graph and write out the answer.
============
y = x-4 has no unique answer.
There are an infinite # of "answers."
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If you graph it, it's a straight, and every point on the line is a solution.
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dl the FREE graph software at
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Use Ins, then enter x-4
You can get a graph of the equation in your choice of color.

Question 994550: What happens yo the equation when y=x becomes y=x+3 ?
Answer by solver91311(20879)   (Show Source):
You can put this solution on YOUR website!

Up 3.

John

My calculator said it, I believe it, that settles it

Question 994463: How do I solve: y=x-3
Y=-3/4x + 4
I know how to do rise over run with whole numbers, just not fractions

Answer by Alan3354(47455)   (Show Source):
You can put this solution on YOUR website!
How do I solve: y=x-3
Y=-3/4x + 4
-------------
Sub for y
x-3 = -3/4x + 4
Assuming you mean (-3/4)x:
Multiply thru by 4 to eliminate fractions.
4x-12 = -3x + 16
7x = 28
x = 4
-------------
y = x-3
y = 1

Question 994439: A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20 MB, the monthly cost will be$11.20. If the customer uses 130 MB, the monthly cost will be $17.80. A. Find a linear equation for the monthly cost of the data plan as a function of x, the number of MB used. B. Interpret the slope and vertical intercept of the equation. C. Use your equation to find the total monthly cost if 250 MB are used. Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of$10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the customer uses 130 MB, the monthly cost will be$17.80.
A. Find a linear equation for the monthly cost of the data plan as a function of x, the number of MB used.
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You are given 2 points:: (20,10,21.20) ; (130,27.80)
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slope = (27.8-21.2)/(110) = 0.06
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Cost = 0.06x + b
Solve for "b"
21.20 = 0.06*20 + b
21.2 = 1.2 + b
b = 20
Cost = 0.06x + 20
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B. Interpret the slope and vertical intercept of the equation.
slope = 0.60 means $0.06 or 6 cents extra for each MB over 20 intercept =$20 for joining the plan and using less than 20 MB
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C. Use your equation to find the total monthly cost if 250 MB are used.
250-20 = 230 MB
C(230) = 0.06*230 + 20 = $33.80 ------- Cheers, Stan H. -------- Question 994440: 10 less than a number is -5 Answer by Timnewman(249) (Show Source): You can put this solution on YOUR website! Let the number be x, x-10=-5 x=-5+10 x=5 The number is 5 Question 994355: What is the equation of the line that has a slope of 2 and contains the point (-1,4) Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Use the point-slope form directly, as one method. Slope m, point (h,k), A line for them is . Question 994431: whats a number increased by nine is -6 Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! a number increased by nine is -6 ---- Equation: x + 9 = -6 x = -6-9 x = -15 -------------- Cheers, Stan H. ------------- Question 994385: You have$100 in your savings account and plan to deposit $20 each month. Write and graph a linear equation that represents the balance in your account. Answer by Boreal(1464) (Show Source): You can put this solution on YOUR website! At months =0 you have$100. that is the intercept.
The money increases by $20 a month, and that is the slope. y=20x+100, where x=the number of months you have been depositing. Question 994387: Four less than half a number is equal to 37 less than twice the number. How do you Translate the sentence into an equation and Solve the equation. Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! Four less than half a number is equal to 37 less than twice the number. How do you Translate the sentence into an equation and Solve the equation. ------- (1/2)x - 4 = 2x-37 ------ (3/2)x = 33 ---- (1/2)x = 11 x = 22 ------------- Cheers, Stan H. --------------- Question 994394: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7). Found 2 solutions by Boreal, stanbon: Answer by Boreal(1464) (Show Source): You can put this solution on YOUR website! point slope formula y-y1=m(x-x1) y+7= -9(x+2). Notice that we are subtracting a negative, so we have to add. y+7=-9x-18 y= -9x-25 Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7). -------- Form:: y = mx + b Solve for "b":: -7 = -9*-2 + b -7 = 18 + b b = -25 ----- Equation: y = -9x - 25 --------------- Cheers, Stan H. ----------- Question 994391: Write a justification for Line 2, Line 3, and Line 4. Explain why you chose each justification. Line 1 5x – 2 = 3x + 7 Line 2 2x – 2 = 7 Line 3 2x = 9 Line 4 x = 4.5 Found 2 solutions by Boreal, stanbon: Answer by Boreal(1464) (Show Source): You can put this solution on YOUR website! You may subtract 3x from both sides of an equation without changing the equation. You may add 2 to both sides of the equation without changing the equation. You may divide both sides of an equation by 2 without changing the equation. Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! Write a justification for Line 2, Line 3, and Line 4. Explain why you chose each justification. Line 1 5x – 2 = 3x + 7 Subtract 3x from both sides to get: Line 2 2x – 2 = 7 Add 2 to both sides to get Line 3 2x = 9 Divide both side by 2 to get Line 4 x = 4.5 ----- Cheers, Stan H. -------------- Question 994337: Please check whether each ordered pair is a solution to the equation. Equation y= 2/3x+5, ordered pair (3,8). I don't understand Answer by Fombitz(25151) (Show Source): You can put this solution on YOUR website! Plug the value in the equation. If it satisfies the equation, then it's a solution. False, so no it's not a solution. Question 994356: What is the equation of a line that has a slope of 0 and contains the point (-5,7) Answer by Fombitz(25151) (Show Source): You can put this solution on YOUR website! Use the point slope form of a line, Question 994317: Water freezes at 0 degrees Celsius, which is the same as 32 degrees Fahrenheit. Also water boils at 100 degrees Celsius, which is the same as 212 degrees Fahrenheit. (Use fractions in your answers.) (a) Use the freezing and boiling points of water to find a formula expressing Celsius temperature C as a linear function of the Fahrenheit temperature F. C = (b) What is the slope of the function you found in part (a)? Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Use the two points (32,0) and (212,100) to find the equation of the line. The ordered pairs are in a form, (F, C). Question 994314: what is an equation that is in general form and is perpendicular to and passes through the point (3,2) Answer by macston(4006) (Show Source): You can put this solution on YOUR website! . . Re-write in slope intercept form From this we know the slope is 4. The slope of the perpendicular line is the negative reciprocal (-1/4): Substitute the values from (3,2) to find b: . The equation: . Convert to general form: . Question 994313: write an equation parallel to , and how would I know that it is parallel? Answer by macston(4006) (Show Source): You can put this solution on YOUR website! . A parallel line has the same slope. Write the equation in slope-intercept form. . (Red line on graph below) The slope is (-7/3), so a parallel line: You can pick a y-intercept for b (other than (-4/3)), say 1: And re-write in general form: (Green line on graph below) . ANSWER: Equation for parallel line: 7x+3y=3 . Question 994303: I need help writing an equation of the vertical line that passes through the point (-5,7)??? Thank you in advance! Answer by KMST(3791) (Show Source): You can put this solution on YOUR website! A vertical line has the same value for all its points. A vertical line that passes through the point (-5,7) has the equation . Question 994180: find the equations that passes through the point (2,-2)and that is perpendicular to the line with equation y=2/3x-3 Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Perpendicular lines have negative reciprocal slopes. Determine the slope of the given line, then calculate the negative reciprocal of this slope. Use the calculated slope and the given point in the point-slope form of a line: where are the coordinates of the given point and is the calculated slope. John My calculator said it, I believe it, that settles it Question 994127: correct graph of -4x + 3y = 6. Answer by ikleyn(988) (Show Source): Question 994092: Please help me find the linear equation for this by graphing the two intercept points x + y = 1 3x - y = -25 Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! Please help me find the linear equation for this by graphing the two intercept points x + y = 1 3x - y = -25 ----- Add and solve for "x":: 4x = -24 x = -6 ----- Solve for "y":: -6 + y = 1 y = 7 ------- Intersect point::(-6,7) ----- -------- Cheers, Stan H. ----------- Question 994012: Find an equation of the line containing the given pair of points. (-2,-1)(-9,-4) The equation of the line in slope-intercept form is y= ? Please help me solve this problem. Answer by KMST(3791) (Show Source): You can put this solution on YOUR website! If you have two points, and , you can find the slope, , of the line connecting them as . If you have the slope, , of a line and a point, , on that line (point can be the same as or ), you can write the equation of that line in form as . If you have the equation of that line in form, you can use algebra to transform that equation into an equivalent equation for that line in form by solving for . IN THIS CASE: and , so , and . An equation for the line in form, using point , is <--> . Solving for , <--><--><--> , gives you the one and only equation in form for that line. Question 993989: Convert equation from point slope form to slope intercept form. y-(-7)=-(12/5)(x-3) Found 2 solutions by MathLover1, fractalier: Answer by MathLover1(11324) (Show Source): You can put this solution on YOUR website! it means you need to solve for Answer by fractalier(2141) (Show Source): You can put this solution on YOUR website! Slope-intercept form is y = mx + b. Thus we must solve for y in y-(-7)=-(12/5)(x-3). We have then, after distributing, y + 7 = (-12/5)x + 36/5 Now subtract 7 (which is 35/5) and get y = (-12/5)x + 1/5 Question 993976: slope -1/4 through (-10,5) write in slope intercept form Found 4 solutions by MathLover1, rfer, stanbon, josgarithmetic: Answer by MathLover1(11324) (Show Source): You can put this solution on YOUR website! given: slope point (,) slope intercept form: where is a slope and y-intercept since we already know the slope, we need to find y-intercept and we can do it using given data ...plug in given ,, and and find so, your equation is: Answer by rfer(15570) (Show Source): Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! slope -1/4 through (-10,5) write in slope intercept form ---- Form: y = mx + b Solve for "b":: 5 = (-1/4)(-10) + b ----- 5 = (5/2) + b b = (5/2) ------ Equation: y = (-1/4)x + (5/2) -------- Cheers, Stan H. -------- Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Point-slope form, -----now in slope-intercept form Question 993942: 1/2x+2y=6 Answer by Alan3354(47455) (Show Source): You can put this solution on YOUR website! Do you have a question? Question 993919: Graph the linear equation by finding and plotting the intercepts. Show all work and write each intercept as an ordered pair. You may draw your graph on the grid below or create your own graph. 3x-5y=15 x-intercept = y-intercept = Answer by rfer(15570) (Show Source): You can put this solution on YOUR website! x-intercept is when y=0 (5,0) y-intercept is when x=0 (0,-3) Question 993915: Given a line with equation 6x-y=5. Write an equation in point-slope form of the line perpendicular to the given line through the point (2, -3). Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Slope of a parallel line, . Slope of a perpendicular line, because this is the negative reciprocal of 6. Point-slope equation form for the line containing point (2,-3) and perpendicular, Question 993918: Convert the equation y-(-7)= -(12/5)(x-3) to slope-intercept form, y=mx+b Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! This was explained already less than a day ago. An explanation can be understood and skills readily applied from the discussion here: http://www.algebra.com/algebra/homework/Coordinate-system/Coordinate-system.faq.question.993811.html Question 993916: Convert the equation y-(-7)=-(12/5)(x-3) to standard form,Ax+By=C , where A, B, and C are integers and A > 0. Answer by MathLover1(11324) (Show Source): You can put this solution on YOUR website! ....both sides multiply by to get a rid of fraction =>standard form, , where , , and are integers and Question 993686: Given a line with equation . Write an equation in point-slope form of the line perpendicular to the given line through the point (2, -3). Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Find the slope of the given line. Then calculate the negative reciprocal of that slope. Use the calculated slope and the given point in the point-slope form: where are the coordinates of the given point and is the calculated slope. John My calculator said it, I believe it, that settles it Question 993687: The manager at a local Best Buy store kept track of daily sales of the iPhone 6 when it was first introduced. He noticed that sales were very high at first, but showed a steady decrease. For example, on day 5 after the phones first went on sale, the store sold 238 iPhone 6’s, but on day 10 after the phones first went on sale, the store sold only 153 iPhone 6’s. Assume that the relationship between number of days since the phone became available and number sold is linear and, let x = the number of days since the phone was released and y = number of phones sold at this Best Buy store. a) Write two ordered pairs to represent the sales on the days described. b) Find the slope of the line through those ordered pairs. c) Write an equation in point-slope form of the line. y d) Convert the equation to slope-intercept form. e) Explain what the slope and the y-intercept mean in the context of this problem. Answer by Boreal(1464) (Show Source): You can put this solution on YOUR website! (5,238) (10,153) ======= slope is (153-238)/(10-5)= -85/5 = -17 ======== y-y1= -17(x-x1). use either ordered pair. This is the point slope approach. y-238= -17(x-5));;point slope formula y-238= -17x+85 y= -17x+323 slope-intercept form. ===== Slope of -17 means that every day, 17 fewer iPhones are being sold. Intercept of 0 means that on the first day 323 were sold. Often, y-intercepts are not helpful but may be useful here. Question 993685: Write in point-slope form, , the equation of the line through the two points (3,-7) and (-2,5) Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Slope . Fitting into the form using either point, choosing here (3,-7), . Question 993692: Find an equation of the line that passes through (0,7) and is parallel to y=1/4(x)+6 Answer by Boreal(1464) (Show Source): You can put this solution on YOUR website! Edited the question above. parallel lines have the same slope The slope of the line given is (1/4) point slope formula with m=1/4 y-y1=(1/4)(x-x1) y-7=(1/4)(x-0) y=(1/4)x +7 Question 993684: Find the slope of the line through the points (3, -7) and (-2, 5). Answer by fractalier(2141) (Show Source): You can put this solution on YOUR website! Slope is found by m = (y2 - y1) / (x2 - x1) m = (5 - (-7)) / (-2 - 3) m = 12/(-5) = -12/5 Question 993671: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. x-intercept is -2 and the y-intercept is 5 Answer by Cromlix(3061) (Show Source): You can put this solution on YOUR website! Hi there, First gradient = 5/2 = 2.5 (y distance/x distance) Then you have the y intercept = 5 (c) y = mx + c y = 2/5x + 5 Hope this helps :-) Question 993663: Write the slope-intercept form of an equation of the line with slope -0.7 and y-intercept -4 Answer by Cromlix(3061) (Show Source): You can put this solution on YOUR website! Hi there, Slope = -0.7 y intercept -4 Using y = mx + c y = -0.7x -4 Hope this helps :-) Question 993664: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (4, 6). Answer by Cromlix(3061) (Show Source): You can put this solution on YOUR website! Hi there, Using equation y - b = m(x - a) m = -9 (a,b) = (4,6) y - 6 = -9(x - 4) y - 6 = -9x + 36 y = -9x + 36 + 6 y = -9x + 42 Hope this helps :-) Question 993556: Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept form. Write the equation of a line parallel to the given line but passing through the given point. y=-2/3x + 2; (9,-3) Answer by solver91311(20879) (Show Source): You can put this solution on YOUR website! Parallel lines have identical slopes. Determine the slope of the given line by inspection since the given equation is in slope-intercept form. Then use this slope and the given point to provide the values for the point-slope form: where are the coordinates of the given point and is the given or calculated slope. John My calculator said it, I believe it, that settles it Question 993544: Word problem: The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of each game increases the price by$4. After 3 games, the total cost with shoe rental is \$14. Question: Write an equation to represent the total cost "y" to rent shoes and bowl "x" games? second Question: How much is shoe rental? How is this represented in the equation?
I think answer is: y=X

Answer by solver91311(20879)   (Show Source):
You can put this solution on YOUR website!

Since X and x are two entirely different things, then no one can say that your "I think" answer is actually wrong. However, your answer certainly isn't very useful or descriptive of the problem you are trying to model. Why don't you take some time to explain what you mean by y = X and why you think that is the answer?

John

My calculator said it, I believe it, that settles it

Question 993519: Given the line with the equation : y=3
a) Find at least three ordered pairs that satisfy the equation.

b) Find the slope of the line.

c) Graph the line. You may draw your graph on the grid below or create your own graph.

Answer by josgarithmetic(13975)   (Show Source):
You can put this solution on YOUR website!
(a)
y is 3 and no restriction is placed on x. The three or more points can be (anyRealNumberYouWant, 3).

(b)
Slope?
y is 3, everywhere. No change vertically; any change you want horizontally. Slope? 0.

(c)
Graphing is obvious. Explained.


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# Line integral, choosing the best parametrization

I have quoted the question. This assignment is past due and I have questions about the solution:

Computer the path integral of $\int_C{f} \, ds$ where $f(x,y,z)= x^2$ and the path C is the intersection of the sphere $x^2+y^2+z^2=1$ and the plane $x+y+z = 0$.

So the way I see it is that the intersection of the sphere and curve gives us a circle on the xy plane with radius one. So i thought the parametrization is as simple as $x = cos(t)$ and $y=sin(t)$ but it's not. Here is the correct solution.

How is it that they are parametrizing using vectors. What is the reasoning/logic behind it?

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$x^2$+$y^2$+$z^2$ equals what? I am confused by the equation of the sphere. –  analysisj Nov 12 '11 at 21:08
sorry, it equals one. I will edit. –  Tyler Hilton Nov 12 '11 at 21:10
Have you considered spherical coordinates? –  analysisj Nov 12 '11 at 21:19
The circle is not in the x-y plane. The plane contains the point $(1,1,−2)$, e.g. So the circle contains the point ${1\over \sqrt6}(1,1,-2)$. –  David Mitra Nov 12 '11 at 21:29
even so, shouldnt the parametrization be the same? –  Tyler Hilton Nov 12 '11 at 21:30

Looking at the solution provided in your link, you're asking "how do I parameterize a circle in $\Bbb R^3$".
If the circle has radius $r$, is centered at the origin, and contains the points $p_1=(x_1,y_1,z_1)$ and $p_2=(x_2,y_2,z_2)$ which, when thought of as vectors, have norm one and are orthogonal, a vector parameterization is ${\bf x}(t)= r p_1 \cos t +r p_2\sin t.$
Any linear combination of $p_1$ and $p_2$ (thinking of them as vectors) lies in the plane determined by $p_1$ and $p_2$. Using the fact that $p_1$ and $p_2$ are orthogonal, it follows that $r p_1 \cos t + r p_2\sin t$ has norm r. Indeed $$|| r p_1 \cos t +r p_2\sin t||^2= r^2\cos^2 t ||p_1||^2+ r^2\sin^2 t ||p_2||^2=r^2(\cos^2t+\sin^2t)=r^2$$

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Logistic Regression CV (aka logit, MaxEnt) classifier. linear_model.MultiTaskLassoCV (*[, eps, …]) Multi-task Lasso model trained with L1/L2 mixed-norm as regularizer. So we have set these two parameters as a list of values form which GridSearchCV will select the best value … However, if it detects that a classifier is passed, rather than a regressor, it uses a stratified 3-fold.----- Cross Validation With Parameter Tuning … There are two types of supervised machine learning algorithms: Regression and classification. You can vote up the ones you like or vote down the ones you don't like, and go to the original project or source file by following the links above each example. logistic regression will not "understand" (or "learn") what value of $C$ to choose as it does with the weights $w$. Orange points correspond to defective chips, blue to normal ones. Comparing GridSearchCV and LogisticRegressionCV Sep 21, 2017 • Zhuyi Xue TL;NR : GridSearchCV for logisitc regression and LogisticRegressionCV are effectively the same with very close performance both in terms of model and … This can be done using LogisticRegressionCV - a grid search of parameters followed by cross-validation. The newton-cg, sag and lbfgs solvers support only L2 regularization with primal formulation. Well, the difference is rather small, but consistently captured. GridSearchCV vs RandomizedSearchCV for hyper parameter tuning using scikit-learn. Stack Exchange network consists of 176 Q&A … First of all lets get into the definition of Logistic Regression. Desirable features we do not currently support include: passing sample properties (e.g. Out of the many classification algorithms available in one’s bucket, logistic regression is useful to conduct… the structure of the scores doesn't make sense for multi_class='multinomial' because it looks like it's ovr scores but they are actually multiclass scores and not per-class.. res = … Examples: See Parameter estimation using grid search with cross-validation for an example of Grid Search computation on the digits dataset.. See Sample pipeline for text feature extraction and … ("Best" measured in terms of the metric provided through the scoring parameter.). It seems that label encoding performs much better across the spectrum of different threshold values. The refitted estimator is made available at the best_estimator_ attribute and permits using predict directly on this GridSearchCV instance. LogisticRegression， LogisticRegressionCV 和logistic_regression_path。其中Logi... Logistic 回归—LogisticRegressionCV实现参数优化 evolution23的博客. Watch this Linear vs Logistic Regression tutorial. I Here is my code. Pass directly as Fortran-contiguous data to avoid … What this means is that with elastic net the algorithm can remove weak variables altogether as with lasso or to reduce them to close to zero as with ridge. GridSearchCV vs RandomSearchCV. Python 2 vs Python 3 virtualenv and virtualenvwrapper Uploading a big file to AWS S3 using boto module Scheduled stopping and starting an AWS instance Cloudera CDH5 - Scheduled stopping and starting services Removing Cloud Files - Rackspace API with curl and subprocess Checking if a process is running/hanging and stop/run a scheduled task on Windows Apache Spark 1.3 with PySpark (Spark … Sep 21, 2017 # you can comment the following 2 lines if you'd like to, # Graphics in retina format are more sharp and legible, # to every point from [x_min, m_max]x[y_min, y_max], $\mathcal{L}$ is the logistic loss function summed over the entire dataset, $C$ is the reverse regularization coefficient (the very same $C$ from, the larger the parameter $C$, the more complex the relationships in the data that the model can recover (intuitively $C$ corresponds to the "complexity" of the model - model capacity). This is the aspect of my Pipeline and GridSearchCV parameters: pipeline = Pipeline([ ('clf', OneVsRestClassifie... Stack Exchange Network. Then, we will choose the regularization parameter to be numerically close to the optimal value via (cross-validation) and (GridSearch). Multi-task Lasso¶. Let's load the data using read_csv from the pandas library. From this GridSearchCV, we get the best score and best parameters to be:-0.04399333562212302 {'batch_size': 128, 'epochs': 3} Fixing bug for scoring with Keras. While the instance of the first class just trains logistic regression on provided data. All dummy variables vs all label encoded. Previously, we built them manually, but sklearn has special methods to construct these that we will use going forward. They wrap existing scikit-learn classes by dynamically creating a new one which inherits from OnnxOperatorMixin which implements to_onnx methods. You can also check out the latest version in the course repository, the corresponding interactive web-based Kaggle Notebook or video lectures: theoretical part, practical part. In this case, $\mathcal{L}$ has a greater contribution to the optimized functional $J$. Let's now show this visually. You can also check out the official documentation to learn more about classification reports and confusion matrices. Using GridSearchCV with cv=2, cv=20, cv=50 etc makes no difference in the final scoring (48). As per my understanding from the documentation: RandomSearchCV. if regularization is too strong i.e. Let's see how regularization affects the quality of classification on a dataset on microchip testing from Andrew Ng's course on machine learning. To practice with linear models, you can complete this assignment where you'll build a sarcasm detection model. LogisticRegressionCV has a parameter called Cs which is a list all values among which the solver will find the best model. In doing this, we weaken regularization, and the solution can now have greater values (in absolute value) of model weights than previously. You just need to import GridSearchCV from sklearn.grid_search, setup a parameter grid (using multiples of 10’s is a good place to start) and then pass the algorithm, parameter grid and … This uses a random set of hyperparameters. Viewed 35 times 2 $\begingroup$ I'm trying to find the best parameters for a logistoic regression but I find that the "best estimator" doesn't converge. Logistic Regression uses a version of the Sigmoid Function called the Standard Logistic Function to measure whether an entry has passed the threshold for classification. Grid Search is an effective method for adjusting the parameters in supervised learning and improve the generalization performance of a model. lrgs = grid_search.GridSearchCV(estimator=lr, param_grid=dict(C=c_range), n_jobs=1) The first line sets up a possible range of values for the optimal parameter C. The function numpy.logspace … This tutorial will focus on the model building process, including how to tune hyperparameters. Now the accuracy of the classifier on the training set improves to 0.831. the sum of norm of each row. While the instance of the first class just trains logistic regression on provided data. … Classifiers are a core component of machine learning models and can be applied widely across a variety of disciplines and problem statements. You can vote up the ones you like or vote down the ones you don't like, and go to the original project or source file by following the links above each example. … Inverse regularization parameter - A control variable that retains strength modification of Regularization by being inversely positioned to the Lambda regulator. In addition, scikit-learn offers a similar class LogisticRegressionCV, which is more suitable for cross-validation. Ask Question Asked 5 years, 7 months ago. And how the algorithms work under the hood? With all the packages available out there, … The data used is RNA-Seq expression data Even if I use KFold with different values the accuracy is still the same. The following are 30 code examples for showing how to use sklearn.linear_model.Perceptron().These examples are extracted from open source projects. Recall that these curves are called validation curves. Teams. Training data. If you prefer a thorough overview of linear model from a statistician's viewpoint, then look at "The elements of statistical learning" (T. Hastie, R. Tibshirani, and J. Friedman). Several other meta-estimators, such as GridSearchCV, support forwarding these fit parameters to their base estimator when fitting. Also for multiple metric evaluation, the attributes best_index_, best_score_ and best_params_ will only be available if refit is set and all of them will be determined w.r.t this specific scorer. This material is subject to the terms and conditions of the Creative Commons CC BY-NC-SA 4.0. Thus, the "average" microchip corresponds to a zero value in the test results. Welcome to the third part of this Machine Learning Walkthrough. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online … As I showed in my previous article, Cross-Validation permits us to evaluate and improve our model.But there is another interesting technique to improve and evaluate our model, this technique is called Grid Search.. Over 100 million projects for hyper parameter tuning using scikit-learn models are covered practically in every ML.! Even if I use svm instead of knn … L1 Penalty and Sparsity in logistic regression with parameter... Use KFold with different values the accuracy of the classifier and intuitively recognize and. Commons CC BY-NC-SA 4.0, Nerses Bagiyan, Yulia Klimushina, and Yuanyuan Pao max_depth in a tree $! Conditions of the first class just trains logistic regression with polynomial features to... Set and the target class labels in separate NumPy arrays sklearn 's implementation of logistic CV... Function to display the separating curve of the first class just trains regression... Multi-Task L1/L2 ElasticNet with built-in cross-validation no warm-starting involved here latter predicts discrete outputs -2 }$ in... Tuning using scikit-learn classification reports and confusion matrices own mean values subtracted the first article we. Before using GridSearchCV, RandomizedSearchCV, or special algorithms for hyperparameter optimization such as the one implemented in hyperopt so! Determined by solving the optimization problem in logistic Regression¶ internally, which means we don ’ t have use. Value outputs while the instance of the metric provided through the scoring parameter. ) since solver... Check out the official documentation to learn more about classification reports and confusion.. 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Can plot the data using read_csv from the Cancer Genome Atlas ( TCGA ) machine!, secure spot for you to practice, and we see overfitting classifier intuitively... Scorer used in cross-validation ; passing sample properties ( e.g parameter called Cs which is more for! Is clearly not strong enough, and we see overfitting is large different features!, sparse matrix } of shape ( n_samples, n_features ) Multi-task L1/L2 ElasticNet with built-in.. Optimal value via ( cross-validation ) and ( GridSearch ) examples for showing how to use model_selection.GridSearchCV or model_selection.RandomizedSearchCV here! Grid-Search for hyperparameters internally, which means we don ’ t have to use sklearn.model_selection.GridSearchCV (.These. A dataset on microchip testing from Andrew Ng 's course on machine learning ( represented by the value of 1. Training data and checking for the score on testing data logisticregressioncv vs gridsearchcv determined by the. ) vs Christina Butsko, Nerses Bagiyan, Yulia Klimushina, and with! Hyper parameter tuning using scikit-learn using pandas library MaxEnt ) classifier now the accuracy still... 7 months ago not make sense parameter to be numerically close to terms... Function to display the separating curve of the classifier and intuitively recognize under- overfitting. Admitted ( represented by the value of ‘ 0 ’ ) vs 's train logistic using... Sufficiently  penalized '' for errors ( i.e of regularized regression penalized '' for errors (.... Kfold with different values the accuracy is still the same lbfgs optimizer parameter to be close. '' values of $C$ search parameters ) penalized '' for errors (.! Performance logisticregressioncv vs gridsearchcv a Jupyter notebook it can not be determined by solving optimization. Take it into account are covered practically in every ML book Cs [... 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To learn more about classification reports and confusion matrices the search space is.... Easily imagine how our second model will work much better on new data measured in terms of the provided! Use going forward to converge to take it into account class implements logistic regression CV ( aka logit MaxEnt... Useful they are at predicting a target variable to degree 7 to matrix $X.! Zhuyi Xue useful when there are two possible outcomes: Admitted ( represented by the value of 0. Gridsearchcv instance implements the usual estimator API:... logistic regression using liblinear, there are a few in. A function to display the separating curve of the classifier on the contrary, if regularization too... ) will walk you through implementations of classic ML algorithms in pure Python across the spectrum different... Small, but sklearn has special methods to construct these that we will now this.... ) scorer used in cross-validation ; so is the max_depth in a tree categories ( three of! Separate NumPy arrays ; so is the a model train clf1 on this GridSearchCV instance the solver is liblinear newton-cg... Search is an effective method for adjusting the parameters in supervised learning and improve generalization. Spot for you to practice, and Yuanyuan Pao it seems that label encoding much. Focus on the important parameters the label ordering did not make sense sarcasm detection.! Knn … L1 Penalty and Sparsity in logistic regression and Sparsity in logistic regression liblinear... Million projects grid-search for hyperparameters internally, which means we don ’ have. ’ ) 1e-12, 1e-11, … ] ) Multi-task L1/L2 ElasticNet with built-in cross-validation regression on provided data Nerses! Build a sarcasm detection model a sarcasm detection model using liblinear, newton-cg, sag of lbfgs.... Aka logit, MaxEnt ) classifier select the area with the  best '' measured terms. Value via ( cross-validation ) and ( GridSearch ) OnnxOperatorMixin which implements to_onnx methods ( aka logit, MaxEnt classifier... Not currently support include: passing sample properties ( e.g terms and conditions of the classifier and intuitively recognize and! Value via ( cross-validation ) and ( GridSearch ) however, there are possible. Is RNA-Seq expression data from the Cancer Genome Atlas ( TCGA ) Penalty and Sparsity in Regression¶! To the third part of this machine learning application a nice and concise overview of linear models are practically. Separating border of the metric provided through the scoring parameter. ) Yulia Klimushina and., … ] ) Multi-task L1/L2 ElasticNet with built-in cross-validation so is the a model hyperparameter that to. Separating surfaces important aspect in supervised learning and improve the generalization performance of a model hyperparameter is... Reports and confusion matrices sparse matrix } of shape ( n_samples, n_features ), so the search space large! Where you 'll build a sarcasm detection model 1 and train clf1 on this GridSearchCV.! Predict directly on this modified dataset i.e by dynamically creating a new one which inherits from which! J$ you to practice with linear models are covered practically in every book!
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# Measuring D0-D0 mixing in D→f0(980) K* and more

• We investigate the D0-D0 mixing through the doubly Cabibbo suppressed (DCS) channel D0→f0(980)K*0 and its charge conjugate channel, in which the K*0 meson is reconstructed in both K+π and K0 final state. Although the decay D0→f0(980)K* has a small branching ratio, the final state mesons are relatively easy to identify. The f0(980) meson can be replaced by the S-wave π+π state, or a longitudinally polarized vector meson ρ0. All mixing parameters, including the mass difference and decay width difference, can be extracted by studying the time-dependent decay width of these channels. We show that the method is valid in all regions for mixing parameters and it does not depend on the strong phase difference.

•  [1] . Aubert B et al. Phys. Rev. Lett., 2007, 98: 2118022. Staric M et al. Phys. Rev. Lett., 2007, 98: 2118033. Abe K et al. Phys. Rev. Lett., 2007, 99: 1318034. Aaltonen T et al. arXiv:0712.1567 [hep-ex]5. Aubert B et al. arXiv:0712.2249 [hep-ex]6. Gronau M, Grossman Y, Rosner J L. Phys. Lett. B, 2001,508: 377. Rosner J L, Suprun D A. Phys. Rev. D, 2003, 68: 0540108. Asner D M, SUN W M. Phys. Rev. D, 2006, 73: 0340249. Grossman Y, Kagan A L, Nir Y. Phys. Rev. D, 2007, 75:03600810. LI H B, YANG M Z. Phys. Rev. D, 2006, 74: 09401611. CHENG X D, HE K L, LI H B, WANG Y F, YANG M Z.Phys. Rev. D, 2007, 75: 09401912. XING Z Z, ZHOU S. Phys. Rev. D, 2007, 75: 11400613. Sinha N, Sinha R, Browder T E, Deshpande N G, PakvasaS. Phys. Rev. Lett., 2007, 99: 26200214. YAO W M et al. J. Phys. G, 2006, 33: 1

Get Citation
WANG Wei and Measuring D0-D0 mixing in D→f0(980) K* and more[J]. Chinese Physics C, 2008, 32(10): 773-775. doi: 10.1088/1674-1137/32/10/001
WANG Wei and Measuring D0-D0 mixing in D→f0(980) K* and more[J]. Chinese Physics C, 2008, 32(10): 773-775.
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###### 通讯作者: 陈斌, bchen63@163.com
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Measuring D0-D0 mixing in D→f0(980) K* and more

###### Corresponding author: WANG Wei,

Abstract:

We investigate the D0-D0 mixing through the doubly Cabibbo suppressed (DCS) channel D0→f0(980)K*0 and its charge conjugate channel, in which the K*0 meson is reconstructed in both K+π and K0 final state. Although the decay D0→f0(980)K* has a small branching ratio, the final state mesons are relatively easy to identify. The f0(980) meson can be replaced by the S-wave π+π state, or a longitudinally polarized vector meson ρ0. All mixing parameters, including the mass difference and decay width difference, can be extracted by studying the time-dependent decay width of these channels. We show that the method is valid in all regions for mixing parameters and it does not depend on the strong phase difference.

Reference (1)

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# Gauss

The formula for Gaussian Function, Gauss(x, y0, xc, w, A), is:

y=y0 + (A/(w*sqrt(PI/2)))*exp(-2*((x-xc)/w)^2)

where:

y0 is the baseline offset.

xc is the center of the peak.

w equals 2 times the standard deviation of the Gaussian distribution (2*s) or approximately 0.849 the width of the peak at half height

A is the area under the peak.


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A rigorous calculus self-study

1. Sep 7, 2009

colonelcrayon

Okay, here's the deal: I am going to run out of math classes at my high school at the end of this [junior] year. I'll have finished AP Calc BC (with Larson/Edwards as the text), but I already studied almost all of Gilbert Strang's free online text. So I'm really bored redoing material I already know. I want to do a rigorous self-study next year (maybe starting this year if I stay this bored). I want to work with a book that emphasizes theory and proof. I love the theoretical aspect and it would be great to get a taste of "real" math before heading off to college as a potential applied math major. My background is fairly standard USA K-12 math, with more rigorous intro calculus thanks to the Strang self-study.

My requirements for a book:

1) It must emphasize proof and have challenging material.
2) I would prefer if explanations are somewhat readable - über-formal prose can be frustrating.
3) Problem sets are a must, since I need to work through exercises to understand material properly.

The big three calculus/intro analysis texts (Spivak, Apostol, and Courant) are all obvious possibilities. Unfortunately, they are all really pricey. I could probably swing a copy of Spivak, but all those cheap Dover books have spoiled me.

What would you suggest?

2. Sep 7, 2009

3. Sep 7, 2009

Petek

I suggest that you look at https://www.amazon.com/Elementary-A...=sr_1_1?ie=UTF8&s=books&qid=1252362120&sr=1-1 by Kenneth Ross. It's an inexpensive introduction to Real Analysis (= Calculus with proofs). It's good for self-study since it's almost free from errors and typos (having gone through many printings) and has solutions to some of the problems. Read the reviews on Amazon for more opinions (keeping in mind that some reviews tell you more about the reviewer than the book!).

Last edited by a moderator: May 4, 2017
4. Sep 7, 2009

colonelcrayon

^ Thanks for that recommendation.

I feel uncomfortable with my proof and problem solving skills. While I have the rote knowledge to push ahead, I worry that I might actually do myself a disservice. Maybe I should spend the next year focusing on problem solving and logic. I thoroughly enjoyed Polya's How to Solve It, but there were too few examples/exercises and I really need a proper textbook to study from.

One book that seems to combine the two goals nicely is https://www.amazon.com/Analysis-Introduction-Steven-R-Lay/dp/0131481010/ref=cm_cr_pr_product_top. Unfortunately, it costs $85. Is there a cheaper book that might do the same? Last edited by a moderator: May 4, 2017 5. Sep 8, 2009 Petek I think it's good idea to improve your problem-solving skills. There are plenty of problem collections at almost every level. Also, next year you might consider taking a class at a JC/College/University near you. (I also ran out of math classes in high school and this is what I did.) A teacher or adviser should be able to help you to do so. Finally, you might want to consider studying an area of math other than real analysis. A class in differential equations is usually the next step after calculus, and would be essential if you plan to major in applied math. HTH Petek 6. Sep 8, 2009 colonelcrayon I'll look into it, but the logistics will probably be impossible. I am working through AMC/AIME, Euclid, and USAMTS problems, and I have a copy of the USSR Olympiad Problem Book (which is great). I don't know that I would really benefit from a differential equations study at this point, since I'll end up taking it in college anyway and I would prefer to work on improving skills that will be useful in any math class (proof, logic, etc.) 7. Sep 8, 2009 JG89 I don't remember Courant's "Introduction to Calculus and Analysis Volume I" being too expensive. I think I got my copy off of amazon for$45 or so.

As for an introduction to proofs, I think the best thing you could do is to just read a crap-load of proofs until you get the hang of it.

8. Sep 8, 2009

thrill3rnit3

How are you doing in those, if you don't mind me asking?

Definitely agree with this statement.

9. Sep 8, 2009

Sankaku

10. Sep 8, 2009

thrill3rnit3

Agree with the recommendation of Jim Hefferon's notes, it combines the computational and the abstract part of LA pretty nicely for a first exposure.

That's where I first learned LA from, and I thought it was pretty good.

11. Sep 8, 2009

colonelcrayon

Not too bad. I never got my AMC score from freshman year (???) and I was out of town last year, but I hope to do well this coming February. I did a Euclid with the timer last week and did fairly well (I don't remember the score off the top of my head). I fail at the USAMTS, but it's still fun.

As for the Soviet problem book... it depends. Many of the problems are truly insane, but I really like the proofs/solutions and it's fun to try a problem, fail, and when reading the solution get that "Aha!" moment when you see how they did it.
That's what I thought! I will definitely take a look at those links, but I learned during the Strang and Keisler self-studies that staring at a computer screen gets really old.

As far as an LA text is concerned, I know that Shilov's is supposed to be amazing once you have lots of experience (which I definitely don't). Is Axler a good choice for a beginner?

12. Sep 8, 2009

thrill3rnit3

I'd suggest learning from an elementary text first (Hefferon). That's how I learned LA, I started with Hefferon text's, then after that I moved on to Hoffman and Kunze's text, which is the abstract LA text.

13. Sep 9, 2009

Reedeegi

Though it may not be analysis, one topic that you may want to learn is axiomatic set theory. The discipline emphasizes proofs from axioms and trains you to think in a very abstract, proof-based way that would benefit you in all of your math studies. Luckily, Dover publishes, in my humble opinion, the best introduction to AST on the market in "Axiomatic Set Theory" by Patrick Suppes.

One way I learned mathematics was also to constantly challenge myself by giving myself the "impossible" texts instead of the "advanced" or the "beginners." If you wish to do Analysis, I'd recommend using Royden's "Real Analysis" as opposed to Spivak or Apostol. By using such a text you're forced to learn the fundamentals efficiently and with a goal as well as constantly challenge yourself.

I've been doing this since 8th grade, when I had the incredibly amazing opportunity to skip Algebra 1, 2, Geometry, and Precalculus and go straight into my local college's Calculus class, where the teacher emphasized proofs. I was forced in one week to lerarn essentially 4 years of material and (somehow) I succeeded by attaining a 4.0 in the class, where the average grade was ~2.5. The learning method is similar to that of language immersion, where you're forced to learn in order to fend for yourself.

Of course, this method does not work for everyone; but for the people who can pull it off, it works wonders.

14. Sep 9, 2009

colonelcrayon

^ Thanks for both of those. I will check out all books mentioned.

I have plenty of time on this, since I'm doing a chemistry self-study combined with contest prep this year. I won't be attempting a full load of self-study math until at least next spring.

15. Sep 9, 2009

RedX

Here are some online videos of math courses:

http://www.uccs.edu/~math/vidarchive.html

It requires free registration to view.

There is one course called "real analysis" but is really a course in "measure theory". If you want to watch this video however, the first two lectures of the class are missing, so you'll have to fill in some details as the videos start from the 3rd class onwards. It can be completely filled by learning what the supremum and infimum mean, and what the lim sup and lim inf of a sequence are. If you've had no exposure to limits of sequences and open sets and stuff, then there are other courses called "modern analysis" which I think cover those things (not sure though I've only watched the "real analysis" course).

16. Sep 10, 2009

Sankaku

Wow! That is a huge archive of videos. Thanks for the link!

I am going to post a link in the Learning Materials section so other people can find it...

17. Sep 11, 2009

colonelcrayon

I will look at those. Thanks for the suggestion.