Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q. 1.2 (page 751)

In Chapter 3, we examined data on the body weights and backpack weights of a group of eight randomly selected ninth-grade students at the Webb Schools. Some Minitab output from least-squares regression analysis for these data is shown.

2. With such a small sample size, it is difficult to check several of the conditions for regression inference. Assume that the conditions are met. Construct and interpret a 95%confidence interval for the slope of the population regression line.

Short Answer

Expert verified

True regression line is between(0.021525,0.160075).

Step by step solution

01

Given Information

It is given in the Question that:

02

Explanation

The sample size was reduced by 2degrees of freedom.

df=n−2=8−2=6

In table B, the critical t-value can be discovered in the row of df=6and the column of c=95%as follows:

t∗=2.447

The confidence interval is will be,

localid="1652249759789" b−t*×SEb=0.09080−2.447×0.02831=0.021525

b+t∗×SEb=0.09080+2.447×0.02831=0.160075

Therefore the true regression line lies between (0.021525,0.160075)in 95%confidence interval.

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

Women who are severely overweight suffer enormous social and economic consequences, a new study has shown. They are 20%less likely to marry, they have household incomes that are an average of$6710lower, and they are10%more likely to live in poverty. The findings are from an eight-year observational study of10,039randomly selected women who were16to24years old when the research began. Does this study give strong evidence that being severely overweight causes a woman to have a lower income?

(a) Yes. The study included both women who were severely overweight and women who were not. (b) Yes. The subjects in the study were selected at random.

(c) No. The study showed that there is no connection between income and being severely overweight.

(d) No. The study suggests an association between income and being severely overweight, but we can’t draw a cause-and-effect conclusion.

(e) There is not enough information to answer this question.

A city wants to conduct a poll of taxpayers to determine the level of support for constructing a new city-owned baseball stadium. Which of the following is the primary reason for using a large sample size in constructing a confidence interval to estimate the proportion of city taxpayers who would support such a project?

(a) To increase the confidence level

(b) To eliminate any confounding variables

(c) To reduce nonresponse bias

(d) To increase the precision of the estimate

(e) To reduce under coverage

A distribution that represents the number of cars parked in a randomly selected residential driveway on any night is given by

xi:0 123 4
pi :0.10.20.350.250.15

Which of the following statements is correct?

(a) This is a legitimate probability distribution because each of the pi-values is between 0and 1.

(b) This is a legitimate probability distribution because ∑xiis exactly 10.

(c) This is a legitimate probability distribution because each of the pi-values is between 0and 1and the ∑xiis exactly 10.

(d) This is not a legitimate probability distribution because ∑xiis not exactly 10.

(e) This is not a legitimate probability distribution because role="math" localid="1650523963322" ∑pi is not exactly 1.

Is there significant evidence that selling price increases as appraised value increases? To answer this question, test the hypotheses

(a) H0:β=0versusHa:β>0..

(b) H0:β=0versusHa:β<0

(c) H0:β=0versusHa:β≠0

(d) H0:β>0versusHa=β=0.

(e)Hx:β=1versus.H·θ>1

Color words (9.3) Explain why it is not safe to use paired t procedures to do inference about the difference in the mean time to complete the two tasks.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Pure Maths

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