### Regression Analysis with Multiple VariablesA statistical program is recommended.Consider the following data for a dependent variable $ y $ and two independent variables, $ x_1 $ and $ x_2 $:| $ x_1 $ | $ x_2 $ | $ y $ ||------- |------- |-----|| 30 | 94 | 148 || 20 | 49 | 108 || 25 | 17 | 112 || 45 | 59 | 174 || 40 | 95 | 191 || 50 | 112 | 204 || 74 | 112 | 273 || 49 | 32 | 149 || 39 | 12 | 117 || 55 | 16 | 211 |#### Task (a): Develop an Estimated Regression Equation for $ y $ Relating to $ x_1 $(Round your numerical values to one decimal place.)\[ \hat{y} = \]**Predict $ y $ if $ x_1 = 51 $.** (Round your answer to one decimal place.)\[ \hat{y} = \]#### Task (b): Develop an Estimated Regression Equation for $ y $ Relating to $ x_2 $(Round your numerical values to one decimal place.)\[ \hat{y} = \]**Predict $ y $ if $ x_2 = 16 $.** (Round your answer to one decimal place.)\[ \hat{y} = \]#### Task (c): Develop an Estimated Regression Equation for $ y $ Relating to $ x_1 $ and $ x_2 $(Round your numerical values to one decimal place.)\[ \hat{y} = \]**Predict $ y $ if $ x_1 = 51 $ and $ x_2 = 16 $.** (Round your answer to one decimal place.)\[ \hat{y} = \]**Explanation of Diagram:**The table above consists of three columns: $ x_1 $, $ x_2 $, and $ y $. Each row represents an observation, denoting the values of the independent variables $ x_1 $ and $ x_2 $,

Answered: Image /qna-images/answer/5ef9bc33-9537-4a91-b219-2e8f63014adb.jpg

Answered: A statistical program is recommended.…

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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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 4 (a) x = 2 hours (c) x = 13 hours (b) x= 2.5 hours (d) x = 4.5 hours 2 3 5 40 45 52 49 63 70 Find the regression equation. ý =x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O A. OB. OC. OD. 80- 80- Hours studying Hours studying Hours studying Hours studying (a) Predict the value of y for x= 2. Choose the correct answer below. O A. 52.2 О В. 49.2 ОС. 64.2 O D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. O A. 115.4 О В. 52.2…
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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 1 2 2 Test score, y 39 45 50 48 3 5 6 62 72 (a) x = 2 hours (c) x = 15 hours (b) x = 3.5 hours (d) x = 4.5 hours Find the regression equation. y = x+ y= (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)

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