R² measures the percentage of variation in the dependent variable explained byO The degrees of freedom in the regressionThe p-values of the coefficientsThe variation in the errors in the regressionThe variation in the right-hand side variables

The objective is to identify the appropriate option that describes the measured percentage variation…

Answered: R² measures the percentage of variation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Which of the following are true about regression with one predictor variable (often called “simple regression”)? Check all that apply. The regression equation is the line that best fits a set of data as determined by having the least squared error After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y The slope describes the amount of change in Y for a one-unit increase in X
Question Help v Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 2 2 4 5 (a) x = 2 hours (c) x= 12 hours (b) x = 4.5 hours 40 43 50 47 62 69 (d) x = 2,5 hours Find the regression equation. x+ (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. 5 parts remaining Clear All Check Answer 3:54 PM P Type here to search 99+ a (? 2/28/2021 19 4+ insert pr se dewte esc home 3. 4. dn hd R. tab
Linear Regression It is believed that the number of units enrolled by a student in a semester causes the average grade of the same student for that semester. Twenty (20) students were randomly selected from CMU and USM and data were gathered from them. Using the simple data: (show your solutions) a. Derive the regression equation b. Solve the coefficient of determination R? and explain. Case # Grade (Y) Units(X) 1 2.46 21 2 1.51 18 2.54 18 4 2.67 16 1.55 16 6. 2.67 18 2.99 20 8 2.8 22 1.25 16 10 1.55 12 11 1.67 16 12 1.56 18 13 1.25 16 14 1.44 18 15 1.88 16 16 1.55 18 17 1.64 16 18 1.92 21 19 1.56 16 20 1.56 16
Bone mineral density and cola consumption has been recorded for a sample of patients. Let xx represent the number of colas consumed per week and yy the bone mineral density in grams per cubic centimeter. Based on the data shown below answer the questions rounding your final answers to four decimal places.(a) Create a scatter plot with linear regression line for the data.y =_________ x + ___________(b) Interpret the slope of the regression equation in a complete sentence. (c) Use the linear correlation coefficient to determine if there is correlation. r = Is there correlation at the 0.05 level of significance? yes or no (d) According to the linear regression equation, the bone density of someone who drinks 25 colas per week is . x y 3 0.9732 4 0.96498 5 0.97576 6 0.96254 7 0.97132 8 0.9681 9 0.95988 10 0.96666 11 0.96444 12 0.95222 13 0.96
Solve for the coefficient of determination.
Linear Regression Model Discuss the following: i. Interpret the coefficients (a and b) of the regression equation in context. Comment on whether the value of a makes sense in the context of your data. ii. Interpret 2 r r squared For this question I have the equation and the coefficients of r and r squared they are as follows: y-hat =-166.65403 + 4.7387237x R (correlation coefficient) = 0.53095364 R-sq = 0.28191177
Question Help Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 1 1 4 4 6. (a) x=2 hours (c) x = 15 hours (b) x- 4.5 hours (d) x= 3.5 hours 38 45 50 47 63 71 Find the regression equation. %3D X+ (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Check Answer Enter your answer in the edit fields and then click Check Answer. Clear All parts 5 Femaining <. rch lyp
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Predicting final exams How well do exams given duringthe semester predict performance on the final? One classhad three tests during the semester. Computer output ofthe regression givesDependent variable is Finals = 13.46 R-Sq = 77.7, R-Sq(adj) = 74.1,Predictor Coeff SE(Coeff) t-Ratio P-ValueIntercept -6.72 14.00 -0.48 0.636Test1 0.2560 0.2274 1.13 0.274Test2 0.3912 0.2198 1.78 0.091Test3 0.9015 0.2086 4.32 60.0001Analysis of VarianceSource DF SS MS F-Ratio P-ValueRegression 3 11961.8 3987.3 22.02 60.0001Error 19 3440.8 181.1Total 22 15402.6a) Write the equation of the regression model.b) How much of the variation in final exam scores isaccounted for by the regression model?c) Explain in context what the coefficient of Test3 scoresmeans.d) A student argues that clearly the first exam doesn’t helpto predict final performance. She suggests that this examnot be given at all. Does Test1 have no effect on the finalexam score? Can you tell from this model? (Hint: Doyou think test scores are…
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Regression was used to determine if the number of beers a person drinks predicts blood alcohol content (BAC) in a random sample of college students. The results are in the table below. Intercept Beers Coefficients Standard Error 0.013 0.002 -0.013 0.018 t Stat P-value -1.005 0.332 7.480 2.97E-06 Write out the answers to each of the following questions and upload a picture of yo a. Write out the prediction equation. b. Interpret the slope. c. What is the predicted value for BAC for someone who drank 3 beers? Show your work. d. If the number of beers equals 5 and the BAC equals 0.10, what is the residual? Show your work.

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R² measures the percentage of variation in the dependent variable explained by The degrees of freedom in the regression The p-values of the coefficients The variation in the errors in the regression The variation in the right-hand side variables