Question

In Exercises 14.12-14.21, we repeat the data and provide the sample regression equations for Exercises 4.48-4.57.

a. Determine the standard error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

Short answer

$\text{The standard error of the estimate is}\approx 1.73\text{.}$

Step-by-step solution

Part a Step 1 Given Information

Part a Step 2 Explanation

From the above Analysis of variance printout,

We have$\mathrm{SSE}=6$

df=n-2

=4-2

=2

The formula for the standard error of the estimate is given by.

$s_e=\sqrt{\frac{SSE}{n-2}}$

$=\sqrt{\frac{6}{2}}$

$=\sqrt{3}$

$\approx 1.73$

$\text{Hence, the standard error of the estimate is}\approx 1.73\text{.}$

Part b Step 1 Given Information

Part b Step 2 Explanation

It is the residual plot

Part c Step 1 Given Information

Part c Step 2 Explanation

As a result, the normal probability plot of the residuals