/*! 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. 45 Suppose that the relationship be... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 45 (page 791)

Suppose that the relationship between a response variable y and an explanatory variable x is modelled by y=2.7(0.316)x. Which of the following scatterplots would approximately follow a straight line?

(a) A plot of y against x

(b) A plot of y against log x

(c) A plot of log y against x

(d) A plot of log y against log x

(e) None of (a) through (d)

Short Answer

Expert verified

The scatterplots that approximately follow a straight line is option (c) A plot of log y against x.

Step by step solution

01

Given information

The relationship between a response variable y and an explanatory variable x is modelled byy=2.7(0.316)x.

02

Explanation

The given equation is

y=2.7(0.316)x

The scatterplot will not be a straight line since this equation represents an exponential function, which is not linear.

If we multiply both sides of the equation by the logarithm, we get:

logy=log2.7(0.316)x=log2.7+log0.316x=log2.7+xlog0.316

This is a linear equation with variables log yand xand thus the scatterplot will be a straight line in this case.

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

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

Some high school physics students dropped a ball and measured the distance fallen (in centimeters) at various times (in seconds) after its release. If you have studied physics, then you probably know that the theoretical relationship between the variables is distance =490(time)2. A scatterplot of the students鈥� data showed a clear curved pattern. At 0.68seconds after release, the ball had fallen 220.4centimeters. How much more or less did the ball fall than the theoretical model predicts?

(a) More by 226.576centimeters

(b) More by 6.176centimeters

(c) No more and no less

(d) Less by 226.576centimeters

(e) Less by centimeters

Park rangers are interested in estimating the weight

of the bears that inhabit their state. The rangers have data

on weight (in pounds) and neck girth (distance around

the neck in inches) for 10 randomly selected bears. Some

regression output for these data is shown below.

A bear was recently captured whose neck girth was 35inchesand whose weight was 466.35pounds. If this bear were added to the data set given above, what would be the effect on the value ofr2?

(a) It would decrease the value of r2because the added

point is an outlier.

(b) It would increase the value of r2because any point

added to the data would increase the percent of variation

in bear weight that can be explained by the least-squares

regression line.

(c) It would increase the value of r2because the added

point lies on the least-squares regression line and is far from

the point (x,y)

(d) It would have no effect on the value ofr2 because the

added point lies far from the point (x,y)

(e) It would have no effect on the value of r2because it lies

on the least-squares regression line.

Could mud wrestling be the cause of a rash contracted by University of Washington students? Two physicians at the University of Washington student health center wondered about this when one male and six female students complained of rashes after participating in a mud-wrestling event. Questionnaires were sent to a random sample of students who participated in the event. The results, by gender, are summarized in the following table.

From the chi-square test performed in this study, we may conclude that

(a) there is convincing evidence of an association between the gender of an individual participating in the event and development of a rash.

(b) mud wrestling causes a rash, especially for women.

(c) there is absolutely no evidence of any relation between the gender of an individual participating in the event and the subsequent development of a rash.

(d) development of a rash is a real possibility if you participate in mud wrestling, especially if you do so on a regular basis.

(e) the gender of the individual participating in the event and the development of a rash are independent.

Marcella takes a shower every morning when she gets up. Her time in the shower varies according to a Normal distribution with mean 4.5minutes and standard deviation 0.9minutes.

(a) If Marcella took a 7-minute shower, would it be classified as an outlier? Justify your answer.

(b) Suppose we choose 10days at random and record the length of Marcella鈥檚 shower each day. What鈥檚 the probability that her shower time is 7minutes or higher on at least 2of the days? Show your work.

(c) Find the probability that the mean length of her shower times on these 10 days exceeds5 minutes. Show your work
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

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.