Question

we repeat the data and provide the sample regression equations for Exercises a.Determine the standard error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

Short answer

The standard error of the estimate is approx 1.732

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

=5-2

=3

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

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

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

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

$=\sqrt{3}$

$\approx 1.732$

Hence, The standard error of the estimate is approx 1.732

Part b Step 1 Given Information

Part b Step 2 Explanation

MINITAB procedure: Step 1: Choose Stat > Regression > Regression.

Step 2: In Response, enter the column Low.

Step 3: In Predictors, enter the columns High.

Step 4: In Graphs, enter the columns High under Residuals versus the variables

Step 5: Click OK.

MINITAB output:

Hence the residuals plot is drawn

Part c Step 1 Given Information

Part c Step 2 Explanation

MINITAB procedure:

Step 1: Choose Stat > Regression > Regression.

Step 2: In Response, enter the column Low

Step 3: In Predictors, enter the columns High.

Step 4: In Graphs, select Normal probability plot of residuals.

Step 5: Click OK.

MINITAB output:

$\text{Hence, the normal probability plot of the residuals is drawn.}$