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Chapter 14: Q. 14.19 (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^=1+2x

Short Answer

Expert verified

a. The standard error of the estimate is 2.449

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^=1+2x

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: Fill in the columns containing the predictor (X)variables in Predictors.
Step 4: Click the OK button.

The standard error of the estimate is 2.449based on the MINITAB result.

03

Part (b) Step 3: Given Information

Given table:

y^=1+2x

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.
Step5:ClicktheOKbutton.

MINITAB output:

05

Part (c) Step 5: Given Information

Given table: y^=1+2x

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: In Predictors, fill in the xcolumns.
Step4:SelectNormalprobabilityplotofresidualsfromtheGraphsmenu.
Step 5: Click the OK button.

MINITAB output:

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Most popular questions from this chapter

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)-(h).
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% Te 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 a95% 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).
14.100 Movie Grosses. The data from Exercise 14.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site. Specified value of the predictor variable: S 100 million.

14.24 Custom Homes. Hanna Properties specializes in custom home resales in the Equestrian Estates, an exclusive subdivision in Phoenix, Arizona. A random sample of nine custom homes currently listed for sale provided the following information on size and price. Here, xdenotes the size, in hundreds of square feet, rounded to the nearest hundred, and ydenotes price, in thousands of dollars, rounded to the nearest thousand.

14.7 The difference between an observed value and a predicted value of the response variable is called a________

To find and interpret a confidence interval, at the specified confidence level 99%for the slope of the population regression line that relates the response variables to the predictor variable.

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
See all solutions

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