/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 14.21 In Exercises 14.12-14.21, we rep... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 14.21 (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^=2.875鈭�0.625x

Short Answer

Expert verified

a. The standard error of the estimate is 鈮�1.88

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^=2.875鈭�0.625x

02

Part (a) Step 2: Explanation

Exercise 1514 MINITAB Output:

Analysis of Variance:

According to the output from the analysis of variance,

We know SSE=10.625,

df=n-2=5-2=3

The standard error of the estimate is calculated using the formula,

se=SSEn鈭�2=10.6253=3.541666667=1.881931632鈮�1.88

03

Part (b) Step 3: Given Information

Given table: y^=2.875鈭�0.625x

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.

The Residual Plot is as follows:

05

Part (c) Step 5: Given Information

Given table: y^=2.875鈭�0.625x

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.

The Normal probability plot of the residuals is:

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 14.70-14.80, use the technology of your choice to do the following tasks.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b).

b. Decide, at the5% significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

PCBs and Pelicans.

Use the data points given on the WeissStats site for shell thickness and concentration of PCBs for 60 Anacapa pelican eggs referred to in Exercise 14.40.

14.75 High and Low Temperature. The data from Exercise 14.39for average high and low temperatures in January for a random sample of 50cities are on the WeissStats site.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part b.

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

Custom Homes. Use the size and price data for custom homes from Exercise 14.24.

a. compute the standard error of the estimate and interpret your answer

b. interpret your result from part (a) if the assumptions for regression inferences hold.

c. obtain a residual plot and a normal probability plot of the residuals.

d. decide whether you can reasonably consider Assumptions 1-3for regression inferences to be met by the variables under consideration. (The answer here is subjective, especially in view of the extremely small sample sizes.)

14.93 Corvette Prices. Following are the age and price data for Corvettes from Exercise 14.23.

x
6
6
6
2
2
5
4
5
1
4
y
290
280
295
425
384
315
355
328
425
325

a. Obtain a point estimate for the mean price of all 4-year-old Corvettes.

b. Determine a 90% confidence interval for the mean price of all 4-year-old Corvettes.

c. Find the predicted price of a 4-year-old Corvette.
d. Determine a 90% prediction interval for the price of a 4 -year-old Corvette.
e. Draw graphs similar to those in Fig. 14.11 on page 576 , showing
f. Why is the prediction interval wider than the confidence interval?

14.94 Custom Homes. Following are the size and price data for custom homes from Exercise 14.24.

x
26
27
33
29
29
34
30
40
22
y
540
555
575
577
606
661
738
804
496

a. Determine a point estimate for the mean price of all 2800-sq.ft.Equestrian Estate homes.
b. Find a 99%confidence interval for the mean price of al 2800-sq.ft.Equestrian Estate homes.
c. Find the predicted price of a 2800-sq.ft.Equestrian Estate home
d. Determine a 99%prediction interval for the price of a 2800-sq.ft Equestrian Estate home.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.