/*! 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 71. The figure below is a scatterplo... [FREE SOLUTION] | 91影视

91影视

Log out

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.

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

Does social rejection hurt? We often describe our emotional reaction to social rejection as 鈥減ain.鈥� Does social rejection cause activity in areas of the brain that are known to be activated by physical pain? If it does, we really do experience social and physical pain in similar ways. Psychologists first included and then deliberately excluded individuals from a social activity while they measured changes in brain activity. After each activity, the subjects filled out questionnaires that assessed how excluded they felt. The table below shows data for 13subjects.7鈥淪ocial distress鈥� is measured by each subject鈥檚 questionnaire score after exclusion relative to the score after inclusion. (So values greater than 1show the degree of distress caused by exclusion.) 鈥淏rain activity鈥� is the change in activity in a region of the brain that is activated by physical pain. (So positive values show more pain.)

Discuss what the data show. Follow the four-step process.

Acid rain In the acid rain study of Exercise 39, the actual pH measurement for Week 50was5.08. Find and interpret the residual for this week.

Dem bones Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Only six fossil specimens are known. Because these specimens differ greatly in size, some scientists think they are different species rather than individuals from the same species. We will examine some data. If the specimens belong to the same species and differ in size because some are younger than others, there should be a positive linear relationship between the lengths of a pair of bones from all individuals. An outlier from this relationship would suggest a different species. Here are data on the lengths in centimeters of the femur (a leg bone) and the humerus (a bone in the upper arm) for the five specimens that preserve both bones:

(a) Make a scatterplot. Do you think that all five specimens come from the same species? Explain.

(b) Find the correlation r step-by-step. First, find the mean and standard deviation of each variable. Then find the six standardized values for each variable. Finally, use the formula for r. Explain how your value for rmatches your graph in (a).

A data set included the number of people per television set and the number of people per physician for 40 countries. The Fathom screenshot below displays a scatterplot of the data with the least-squares regression line added. In Ethiopia, there were 503 people per TV and 36,660 people per doctor. What effect would remove this point have on the regression line?

(a) Slope would increase; y intercept would increase.

(b) Slope would increase; y intercept would decrease.

(c) Slope would decrease; y intercept would increase.

(d) Slope would decrease;y intercept would decrease.

(e) Slope and y intercept would stay the same.

Predict the rat鈥檚 weight after16 weeks. Show your work
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics 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.