Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q 71. (page 196)

The figure below is a scatterplot of reading test scores against IQ test scores for 14 fifth-grade children. The line is the least-squares regression line for predicting reading scores from IQ scores. If another child in this class has an IQ score of 110, you predict the reading score to be close to

(a)50.(b)60.(c)70.(d)80.(e)90.

Short Answer

Expert verified

The correct option is (b) 60

Step by step solution

01

Given information

02

Concept

A regression line is a straight line that depicts the change in a response variable y when an explanatory variable x changes. By putting this x into the equation of the line, you may use a regression line to predict the value of y for any value of x

03

Explanation

As indicated in the picture, the line is the least-squares regression line for predicting reading scores from IQ scores. Based on the perpendicular lines formed from the least-squares line to the X-axis and Y-axis, a kid with an IQ of 110 should have a reading score of around 60 Hence, the answer is (b) 60

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

If women always married men who were 2years older than themselves, what would the correlation between the ages of husband and wife be?

(a)2 (c) 0.5 (e) Can’t tell without

(b)1 (d) 0 seeing the data

Bird colonies Return to the data of Exercise 53 on sparrow hawk colonies. We’ll use these data to illustrate influence.

(a) Make a scatterplot of the data suitable for predicting new adults from the percent of returning adults. Then add two new points. Point A: 10% return, 15

new adults. Point B: 60% return, 28 new adults. In which direction is each new point an outlier?

(b) Add three least-squares regression lines to your plot: for the original 13 colonies, for the original colonies plus Point A, and for the original colonies

plus Point B Which new point is more influential for the regression line? Explain in simple language why each new point moves the line in the way your graph shows.

Do heavier people burn more energy? Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. We have data on the lean body mass and resting metabolic rate for 12women who are subjects in a study of dieting. Lean body mass, given in kilograms, is a person’s weight leaving out all fat. Metabolic rate is measured in calories burned per 24hours. The researchers believe that lean body mass is an important influence on metabolic rate.

(a) Make a scatterplot on your calculator to examine the researchers’ belief.

(b) Describe the direction, form, and strength of the relationship.

One of nature’s patterns connects the percentage of adult birds in a colony that return from the previous year and the number of new adults that join the colony. Here are data for 13colonies of sparrow-hawks:

Make a scatterplot by hand that shows how the number of new adults relates to the percentage of returning birds.

The residual plot does not show a random scatter. Describe the pattern you see.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

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.

Sign-up for free