Use the data set yx 7 50 100 40 70 2 15 30 10 20 (a) Plot

Chapter 11, Problem 11.29

(choose chapter or problem)

Use the data set

(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 \(y_i\) and the slope \(b_1\)) for the estimator of \(\sigma^2\).

(e) Give a formula for Var(\hat{y}_ii), i = 1, 2, . . . , n, for this case.

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

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