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Chapter 14: Q. 14.17 (page 561)

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=5-x

Short Answer

Expert verified

a. The standard error of the estimate is 1.41421.

b. The residual plot is

c. The normal probability plot of the residuals is,

Step by step solution

01

Part (a) Step 1: Given Information

Given table:y=5-x

02

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 (Y)variable.
Step 3: In Predictors, fill in the columns that include the (X)predictor variables.
Step 4: Click the OK button.

MINITAB output:

The standard error of the estimate is1.41421based on the MINITAB result.

03

Part (b) Step 3: Given Information

Given table: y=5-x

04

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 y.
Step 3: Fill in the columns xin Predictors.
Step4:InGraphs,underResidualsvsthevariables,inputthecolumnsxvariables.
Step 5: Click the OK button.

MINITAB output:

05

Part (c) Step 5: Given Information

Given table: y=5-x

06

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: Fill in the columns xin Predictors.
Step4:SelecttheNormalprobabilityplotofresidualsfromtheGraphsmenu.
Step 5: Click the OK button.

MINITAB output:

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