/*! 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. 53 Students in Mr. Handford鈥檚 cla... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 53 (page 818)

Students in Mr. Handford鈥檚 class dropped a kickball beneath a motion detector. The detector recorded the height of the ball (in feet) as it bounced up and down several times. Here is a computer output from a linear regression analysis of the transformed data of log(height) versus bounce number. Predict the highest point the ball reaches on its seventh bounce.

a. 0.35feet

b. 2.26feet

c. 0.37feet

d. 2.32feet

e. 0.43feet

Short Answer

Expert verified

The correct option is (e).

Step by step solution

01

Given information

The given data is

02

Explanation

The general equation is y^=b0+b1x

The computation of the constant b0is noted in the computer output's row "Constant" and column "Coef":

b0=0.45374

The computation of the slope b1is mentioned in the computer output's row "Bounce" and column "Coef":

b1=-0.117160

Substitute the values in the equation

role="math" localid="1654189474140" =0.45374-0.117160x

logy=0.45374-0.117160x

Put the value of x

logy=0.45374-0.117160(7)

=-0.36638

Then take the exponential

y^=10logyy^=10-0.36638y^=0.43

The option is (e).

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

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 10randomly selected bears. Here is some regression output for these data:

Which of the following represents a 95% confidence interval for the slope of the population least-squares regression line relating the weight of a bear and its neck girth?

a. 20.230卤1.695

b. 20.230卤3.83

c. 20.230卤3.91

d. 20.230卤20.22

e. 26.7565卤3.83

Multiple Choice Select the best answer for Exercises 23-28. Exercises 23-28 refer to the following setting. To see if students with longer feet tend to be taller, a random sample of 25students was selected from a large high school. For each student, x=footlength&y=heightwere recorded. We checked that the conditions for inference about the slope of the population regression line are met. Here is a portion of the computer output from a least-squares regression analysis using these data:

Which of the following is a 95%confidence interval for the population slope 尾1?

a.3.0867卤0.4117

b. 3.0867卤0.8518

c.3.0867卤0.8069

d.3.0867卤0.8497

e.localid="1654193042763" 3.0867卤0.8481

Prey attracts predators Here is one way in which nature regulates the size of animal populations: high population density attracts predators, which remove a higher proportion of the population than when the density of the prey is low. One study looked at kelp perch and their common predator, the kelp bass. On each of four occasions, the researcher set up four large circular pens on sandy ocean bottoms off the coast of southern California. He randomly assigned young perch to 1of 4pens so that one pen had 10perch, one pen had 20perch, one pen had 40perch, and the final pen had 60perch. Then he dropped the nets protecting the pens, allowing bass to swarm in, and counted the number of perch killed after two hours. A regression analysis was performed on the16 data points using x=number of perch in pen and y=proportion of perch killed. Here is a residual plot and a histogram of the residuals. Check whether the conditions for performing inference about the regression model are met.


Here is computer output from the least-squares regression analysis of the perch data.

a. Find the critical value for a 90%confidence interval for the slope of the true regression line. Then calculate the confidence interval.

b. Interpret the interval from part (a).

c. Explain the meaning of 鈥�90% confident鈥� in this context.

T12.10We record data on the population of a particular country from 1960 to 2010. A
scatterplot reveals a clear curved relationship between population and year. However, a different scatterplot reveals a strong linear relationship between the logarithm (base 10) of the population and the year. The least-squares regression line for the transformed data is
log(population)=^鈭�13.5+0.01(year)
Based on this equation, which of the following is the best estimate for the population of the country in the year 2020?
a. 6.7
b. 812
c. 5,000,000
d. 6,700,000
e. 8,120,000

T12.3 Inference about the slope 尾1 of a least-squares regression line is based on which of
the following distributions?
a. The tdistribution with n鈭�1 degrees of freedom
b. The standard Normal distribution
c. The chi-square distribution with n鈭�1 degrees of freedom
d. The t distribution with n-2 degrees of freedom
e. The Normal distribution with mean 渭 and standard deviation 蟽.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Decision 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.