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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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Most popular questions from this chapter

The data from Exercise 14.43 for volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines are on the WeissStats site.

In this Exercise 14.58, we repeat the information from Exercises 14.22. Presuming that the assumptions for regression inferences are met, decide at the specified significance level whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

Following are the data on the percentage of investments in energy securities and tax efficiency from Exercise 14.22. Use α=0.05.

In Exercises 14.48-14.57, we repeat the information from Exercises 14.12-14.21.

a. Decide, at the lore significance level, whether the data provide sufficient evidence to conclude that \(x\) is useful for predicting y.

b. Find a 90rk confidence interval for the slope of the population regression line.

y=2.875-0.625x

Acreage and Value. The data from Exercise 14.37for lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether you can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b)-(f)
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95% confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95% prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.98 Birdies and Score. The data from Exercise 14.34 for number of birdies during a tournament and final score of 63 women golfers are on the WeissStats site. Specified value of the predictor variable:12birdies.
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