### 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…
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 3 4 6 Test score, y 39 44 52 47 64 70 (a)x=2hours (b)x=3.5hours (c)x=13hours (d)x=1.5hours Find the regression equation. y=______ x+ (_____) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
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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. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 150 180 120 130 90 190 P (a)x= 170 calories (c) x 140 calories (b)x= 100 calories (d) x = 210 calories Sodium, y 430 480 350 370 290 530 REED Find the regression equation. ŷ=x+0) (Round to three decimal places as needed.) 4
The table below shows the average weekly wages (in dollars) for state government employees and federal government employees for 10 years. Construct and interpret a 90% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $825. The equation of the regression line is y = 1.597x- 169.203. Wages (state), x Wages (federal), y 742 775 783 802 842 890 912 939 949 954 1,002 1,039 1,097 1,145 1,199 1,242 1,271 1,299 1,335 1,398 Construct and interpret a 90% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $825. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest cent as needed.) O A. There is a 90% chance that the predicted average weekly wages of federal government employees is between S and S given a state average weekly wage of $825. O B. We can be 90%…
The table below shows the average weekly wages (in dollars) for state government employees and federal government employees for 10 years. Construct and interpret a 95% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $895. The equation of the regression line is y = 1.454x- 36.984. Wages (state), x Wages (federal), y 712 778 789 801 843 878 927 937 939 958 1,014 1,054 1,116 1,146 1,191 1,248 1,270 1,302 1,335 1,401 Construct and interpret a 95% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $895. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest cent as needed.) O A. We can be 95% confident that when the average weekly wages of state government employees is $895, the average weekly wages of federal government employees will be between $ and…

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