Exercise 11.29: Use the data set y X 7 2 50 15 100 30 40 10 70 20 (a) Plot the data.(b) Fit a regression line through the origin.(c) Plot the regression line on the graph with the data.(d) Give a general formula (in terms of the yiand the slope b1) for the estimator of σ2.(e) Give a formula for Var(ˆyi), i = 1, 2, . . . , n, for this case.(f) Plot 95% confidence limits for the mean response on the graph around the regression line.For the data in Exercise 11.29, find a 95% prediction interval at x = 25.

Exercise 11.29: Use the data set y X 7 2 50 15 100 30 40 10 70 20 (a) Plot the data. (b) Fit a regression line through the origin. (c) Plot the regression line on the graph with the data. (d) Give a...

Exercise 11.29: Use the data set

(a) Plot the data.

(b) Fit a regression line through the origin.

(d) Give a general formula (in terms of the y_iand the slope b₁) for the estimator of σ².

(e) Give a formula for Var(ˆy_i), i = 1, 2, . . . , n, for this case.

(f) Plot 95% confidence limits for the mean response on the graph around the regression line.

For the data in Exercise 11.29, find a 95% prediction interval at x = 25.

May 25, 2022