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.

$y=9-2r$

Short answer

a. The standard error of the estimate is $2.646$

b. The residual plot is,

c. The normal probability plot of the residuals is,

Step-by-step solution

Part (a) Step 1: Given Information

Given table:

$\hat{y}=9-2x$

Part (a) Step 2: Explanation

MINITAB can be used to calculate the estimate's standard error.

ProcedureforMINITAB:

Step1:SelectStat>Regression>Regressionfromthedrop-downmenu.

Step 2: In the Response column, enter the response $\left(Y\right)$variable.

Step 3: In Predictors, fill in the columns that include the localid="1652192281731" $\left(X\right)$predictor variables.

Step 4: Click the OK button.

MINITAB output:

The standard error of the estimate is$2.646$based on the MINITAB result.

Part (b) Step 3: Given Information

Given table:

$\hat{y}=9-2x$

Part (b) Step 4: Explanation

MINITAB is used to create the residual plot.

ProcedureforMINITAB:

Step1:SelectStat>Regression>Regressionfromthedrop-downmenu.

Step 2: In the Response box, type $\left(Y\right)$.

Step 3: In Predictors, fill in the $\left(X\right)$columns.

Step 4: In Graphs, under Residuals vs the variables, input the columns $x$variables.

Step 5: Click the OK button.

Part (c) Step 5: Given Information

Given table:

$\hat{y}=9-2x$

Part (c) Step 6: Explanation 

MINITAB is used to create a normal probability plot of residuals.

ProcedureforMINITAB:

Step1:SelectStat>Regression>Regressionfromthedrop-downmenu.

Step 2: In the Response box, type $y$.

Step 3: In Predictors, fill in the $x$columns.

Step4:SelectNormalprobabilityplotofresidualsfromtheGraphsmenu.

Step 5: Click the OK button.