/*! 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 76. One child in the Mumbai study ha... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

One child in the Mumbai study had height 59 cm and arm span 60 cm. This child’s residual is

a. −3.2 cm.

b. −2.2 cm.

c. −1.3 cm.

d. 3.2 cm.

e. 62.2 cm.

Short Answer

Expert verified

The correct option is (a)−3.2cm

Step by step solution

01

Given information

The regression line is yÁåœ=6.4+0.93x

02

Concept

The formula to compute the residual is:

Residual=(y−yÁåœ)

Where,

y=ActualvalueyÁåœ=Predictedvalue

03

Explanation

Here, predicted value can be computed as:

yÁåœ=6.4+0.93x=6.4+0.93(60)=62.2

Now, residual can be calculated as:

Residual=(y−yÁåœ)=(59−62.2)=−3.2

Thus, the residual is−3.2cm

Hence, the correct option is (a).

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 91Ó°ÊÓ!

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

Crickets chirping The scatterplot shows the relationship between x = temperature in degrees Fahrenheit and y = chirps per minute for the striped ground cricket, along with the regression line y^=−0.31+0.212x

a. Calculate and interpret the residual for the cricket who chirped 20 times per minute when the temperature was 88.6°F.

b. About how many additional chirps per minute do you expect cricket to make if the temperature increases by 10°F?

Rushing for points What is the relationship between rushing yards and points scored in the National Football League? The table gives the number of rushing yards and the number of points scored for each of the 16 games played by the Jacksonville Jaguars in a recent season.

a. Make a scatterplot with rushing yards as the explanatory variable. Describe what you see.

b. The number of rushing yards in Game 16 is an outlier in the x-direction. What effect do you think this game has on the correlation? On the equation of the least-squares regression line? Calculate the correlation and equation of the least-squares regression line with and without this game to confirm your answers.

c. The number of points scored in Game 13 is an outlier in the y-direction. What effect do you think this game has on the correlation? On the equation of the least-squares regression line? Calculate the correlation and equation of the least-squares regression line with and without this game to confirm your answers.

Actual consumption Refer to Exercise 48. Use the equation of the least-squares regression line and the residual plot to estimate the actual fuel consumption of the car when driving 20 kilometers per hour.

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

a. 2

b. 1

c. 0.5

d. 0

e. Can’t tell without seeing the data

IQ and grades Exercise 3 (page 158) included the plot shown below of school grade point average (GPA) against IQ test score for 78seventh-grade students. (GPA was recorded on a 12-point scale with A+=12,A=11,A-=10,B+=9,...D-=1,F=0.) Calculation shows that the mean and standard deviation of the IQ scores areX¯=108.9and Sx=13.17For the GPAs, these values are Y=7.447andSy=2.10. The correlation between IQ and GPA is 0.6337

(a) Find the equation of the least-squares line for predicting GPA from IQ. Show your work.

(b) What percent of the observed variation in these students’ GPAs can be explained by the linear relationship between GPA and IQ?

(c) One student has an IQ of 103but a very low GPA of 0.53. Find and interpret the residual for this student

See all solutions

Recommended explanations on Math Textbooks

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.