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Question: The following data for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling:

x             y

10         120

14         130

16         170

12         150

20         200

18         180

16         190

14         150

16         160

18         200

a. Develop a simple linear regression equation for these data.

b. Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination.

c. Calculate the standard error of the estimate.

d. Calculate the standard error for the regression slope.

e. Conduct the hypothesis test to determine whether the regression slope coefficient is equal to 0. Test using = 0.02.

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