/*! 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. 2.14 The correlation between the age ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 2.14 (page 490)

The correlation between the age and height of children under the age of 12 is found to be r=0.60. Suppose we use the age x of a child to predict the height y of the child. What can we conclude?

a. The height is generally 60%of a child's age.

b. About 60% of the time, age will accurately predict height.

c. Thirty-six percent of the variation in height is accounted for by the linear model relating height to age.

d. For every 1 year older a child is, the regression line predicts an increase of 0.6 foot in height.

e. Thirty-six percent of the time, the least-squares regression line accurately predicts height from age.

Short Answer

Expert verified

The linear relationship between height and age accounts for 36% of the variation in height.

Step by step solution

01

Given information

The age and height association of children under the age of 12is determined to be r=0.60.

02

Explanation for correct option

Consider,

r=0.60R2=r2=0.36

Because this is a simple linear regression model, the coefficient of the getting can be computed by squaring the correlation coefficient.

As a result, the best solution is (c)

03

Explanation for incorrect option

a. The height is generally 60% of a child's age is not true.

b. About 60% of the time, age will accurately predict height is not true .

d. For every 1 year older a child is, the regression line predicts an increase of 0.6 foot in height is not true .

e. Thirty-six percent of the time, the least-squares regression line accurately predicts height from age is not true .

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

Lightning strikes The number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. The National Lightning Detection Network (NLDN) uses automatic sensors to watch for lightning in 1-square-kilometer plots of land. Find the probability that the total number of lightning strikes in a random sample of 50 square-kilometer plots of land is less than 250.

More sample minimums List all 4possible SRSs of size n=3, calculate the minimum age for each sample, and display the sampling distribution of the sample minimum on a dot plot with the same scale as the dot plot in Exercise 20. How does the variability of this sampling distribution compare with the variability of the sampling distribution from Exercise 20? What does this indicate about increasing the sample size?

From exercise20:

Car NumberColorAge
1
Red1
2
White5
3
Silver8
4
Red20

Do you jog? The Gallup Poll asked a random sample of 1540 adults, "Do you happen to jog?" Suppose that the true proportion of all adults who jog is p=0.15. p=0.15.

a. What is the mean of the sampling distribution of p鈭�p^?

b. Calculate and interpret the standard deviation of the sampling distribution of p鈭�p^. Check that the 10%condition is met.

c. Is the sampling distribution of p鈭�p^approximately Normal? Justify your answer.

d. Find the probability that between 13%and17%of people jog in a random sample of 1540 adults.

Finch beaks One dimension of bird beaks is "depth"-the height of the beak where it arises from the bird's head. During a research study on one island in the Galapagos archipelago, the beak depth of all Medium Ground Finches on the island was found to be Normally distributed with mean 渭=9.5鈥�millimeters(mm)and standard deviation 蟽=1.0mm.

a. Choose an SRS of 5 Medium Ground Finches from this population. Describe the sampling distribution of x炉.

b. Find the probability that x炉estimates 渭within 卤0.5mm. (This is the probability that x炉takes a value between 9 and 10 mm.

c. Choose an SRS of 50 Medium Ground Finches from this population. Now what is the probability that x炉falls within 卤0.05mmof 渭? In what sense is the larger sample "better"?


On one episode of his show, a radio show host encouraged his listeners to visit his website and vote in a poll about proposed tax increases. Of the 4821 people who vote, 4277 are against the proposed increases. To which of the following populations should the results of this poll be generalized?

a. All people who have ever listened to this show

b. All people who listened to this episode of the show

c. All people who visited the show host's website

d. All people who voted in the poll

e. All people who voted against the proposed increases
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Probability and 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.