Step by step, please show all work.
21) For n = 6 data points, the following quantities have been calculated:
3xy = 400 3x = 40 3y = 76 3x^2 = 346 3y^2 = 1160
(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) Compared the width of the confidence interval obtained in part (c) with that obtained in part (d). Which is wider and why?
This solution shows step-by-step calculations to determine the least squares regression line, standard error of estimate, confidence intervals and also briefly explains the difference in confidence interval widths.