Determine the least-squares regression line- determine the

Question

For n = 6 data points, the following quantities have been calculated:

Σx = 40

Σy = 76

Σxy = 400

Σx² = 346

Σy² = 1160

Σ(y - y^{^})^{2 = 52.334}

a. Determine the least-squares regression line.

b. Determine the standard error of estimate.

c. Construct the 95% confidence interval for the mean of y when x = 7.0.

d. Construct the 95% confidence interval for the mean of y when x = 9.0.

e. Compare the width of the confidence interval obtained in part (c) with that obtained in part (d). Which is wider and why?