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 α = 0.02.