Consider the following set of data:

x2 10 8 11 7 10 11 6 x1 50 45 37 32 44 51 42 y 103 85 115 73 97 102 65

a. Obtain the estimated regression equation.

b. Examine the coefficient of determination and the adjusted coefficient of determination. Does it seem that either of the independent variables’
addition to R2 does not justify the reduction in degrees of freedom that results from its addition to the regression model? Support your assertions.

c. Conduct a hypothesis test to determine if the dependent variable increases when x2 increases. Use a significance level of 0.025 and the p-value approach.

d. Construct a 95% confidence interval for the coefficient of x1.