Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q. 9 (page 797)

Which of the following would provide evidence that a power law model of the form y=axbwhere b≠0andb≠1, describes the relationship between a response variable yand an explanatory variable x.

(a) A scatterplot of yversus xlooks approximately linear.

(b) A scatterplot of ln yversus xlooks approximately linear.

(c) A scatterplot of yversus ln xlooks approximately linear.

(d) A scatterplot of ln yversus ln xlooks approximately linear.

(e) None of these.

Short Answer

Expert verified

A scatterplot of in lnyversus in lnxlooks approximately linear. Therefore the correct option is d.

Step by step solution

01

Given Information

A power law model of the form y=axbwhere b≠0and b≠1describes the relationship between a response variableyand an explanatory variablex.

02

Explanation

The scatterplot of a power model has become linear if we convert both variables to its logarithms. In the options (a) and (b) both variables are without logarithms and in the option (c) only one variable in logarithms.

Thus, the correct option is (d).

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

Is wine good for your heart? A researcher from the University of California, San Diego, collected data on average per capita wine consumption and heart disease death rate in a random sample of 19 countries for which data were available. The following table displays the data.

(a) Is there statistically significant evidence of a negative linear relationship between wine consumption and heart disease deaths in the population of countries? Carry out an appropriate significance test at the α=0.05level.

(b) Calculate and interpret a 95% confidence interval for the slope β of the population regression line.

Beer and BAC How well does the number of beers a person drinks predict his or her blood alcohol content (BAC)? Sixteen volunteers with an initial BAC of 0drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their BAC. Least-squares regression was performed on the data. A residual plot and a histogram of the residuals are shown below. Check whether the conditions for performing inference about the regression model are met.

Oil and residuals Exercise 59 on page 193 (Chapter 3) examined data on the depth of small defects in the Trans-Alaska Oil Pipeline. Researchers compared the results of measurements on 100 defects made in the field with measurements of the same defects made in the laboratory. The figure below shows a residual plot for the least-squares regression line based on these data. Are the conditions for performing inference about the slopeβ of the population regression line met? Justify your answer.

An old saying in golf is “You drive for show and you putt for dough.” The point is that good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, data from a random sample of 69of the nearly 1000players on the PGA Tour’s world money list are examined. The average number of putts per hole and the player’s total winnings for the previous season is recorded. A least-squares regression line was fitted to the data. The following results were obtained from statistical software.

Suppose that the researchers test the hypotheses H0:β=0: Ha:β<0. The value of the t statistic for this test is

(a)2.61

(b)2.44

(c)0.081

(d)-2.44

(e) -20.24

The previous Check Your Understanding (page 750) described some results from a study of body weights and backpack weights. Here, again, is the Minitab output from the least-squares regression analysis for these data.

1. Do these data provide convincing evidence of a linear relationship between pack weight and body weight in the population of ninth-grade students at the school? Carry out a test at the a=0.05significance level. Assume that the conditions for regression inference are met.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

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