Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 14: Q.14.30 (page 562)

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.)

Short Answer

Expert verified

a). The required solution is 33.22.

b). The estimated value will differ by 33.22from the actual value.

Step by step solution

01

Part (a) Step 1: Given Information

Given data:

02

Part (a) Step 2: Explanation

Using the relation, calculate the standard deviation of the supplied data.

σ=∑xi-μ2N

We will obtain after solving

σ=99.65

Then calculate the standard error

Standard errorσe=σn

σe=99.659

=33.22

03

Part (b) Step 1: Given Information

Given data:

04

Part (b) Step 2: Explanation

As may be seen in portion (a), the standard error is about.

Standard errorσe=σn

σe=99.659

=33.22

As a result, the estimated value will differ by 33.22 from the actual value.

05

Part (c) Step 1: Given Information

Given data:

06

Part (c) Step 2: Explanation

Residual plots

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Birdies and Score. How important are birdies (a score of one-under par on a given hole) in determining the final total score of a woman golfer? From the U.S. Women's Open website, we obtained data on number of birdies during a tournament and the final score for 63women golfers. The data are presented on the Weiss Stats site.

a. obtain and interpret the standard error of the estimate.

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

c. decide whether you can reasonably consider Assumptions 1-3for regression inferences met by the two variables under consideration.

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.

14.97 Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.27.

x
10
15
12
20
8
16
14
22
y
91
81
84
74
85
80
84
80


a. Determine a point estimate for the mean test score of all beginning calculus students who study for 15hours.
b. Find a 99% confidence interval for the mean test score of all beginning calculus students who study for 15 hours.
c. Find the predicted test score of a beginning calculus student who studies for 15 hours.
d. Determine a 99% prediction interval for the test score of a beginning calculus student who studies for 15hours.

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 this Exercise 14.53, we repeat the information from Exercise 14.17.

a. Decide, at the 10%significance level, whether the data provide sufficient evidence to conclude that xis useful for predicting y:

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

role="math" localid="1652352243033" x22344y34021 y^=5-x
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

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.

Sign-up for free