Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q T3.3. (page 215)

Scientists examined the activity level of 7 fish at different temperatures. Fish activity was rated on a scale of 0 (no activity) to 100 (maximal activity). The temperature was measured in degrees Celsius. A computer regression printout and a residual plot are provided. Notice that the horizontal axis on the residual plot is labeled “Fitted value,” which means the same thing as “predicted value.”

What is the correlation between temperature and fish activity?

a. 0.95

b. 0.91

c. 0.45

d. –0.91

e. –0.95

Short Answer

Expert verified

The correct option is (e)–0.95

Step by step solution

01

Given information

r2=91%=0.910
02

Explanation

In the column coefficient of the computer output, the slope of the least-squares regression line is the row "Temperature."

b1=−3.2167

The slope is negative, indicating that the variables have a negative relationship, and so the linear correlation coefficient r is negative.

So

Hence, the correct 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.

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

Olympic figure skating For many people, the women’s figure skating competition is the highlight of the Olympic Winter Games. Scores in the short program x and scores in the free skate y were recorded for each of the 24 skaters who competed in both rounds during the 2010 Winter Olympics in Vancouver, Canada.28 Here is a scatterplot with least-squares regression line y^=−16.2+2.07x. For this model, s = 10.2 and r2 = 0.736.

Born to be old? Is there a relationship between the gestational period (time from conception to birth) of an animal and its average life span? The figure shows a scatterplot of the gestational period and average life span for 43 species of animals.

a. Describe the relationship shown in the scatterplot.

b. Point A is the hippopotamus. What effect does this point have on the correlation, the equation of the least-squares regression line, and the standard deviation of the residuals?

c. Point B is the Asian elephant. What effect does this point have on the correlation, the equation of the least-squares regression line, and the standard deviation of the residuals?

Hot dogs Are hot dogs that are high in calories and also high in salt? The

following scatterplot shows the calories and salt content (measured in milligrams of sodium) in 17 brands of meat hot dogs.

a. The correlation for these data is r=0.87 Interpret this value.

b. What effect does the hot dog brand with the smallest calorie content have on the correlation? Justify your answer.

Correlation isn’t everything Marc and Rob are both high school English teachers. Students think that Rob is a harder grader, so Rob and Marc decide to grade the same 10 essays and see how their scores compare. The correlation is r=0.98 but Rob’s scores are always lower than Marc’s. Draw a possible scatterplot that illustrates this situation.

Actual weight Refer to Exercise 47. Use the equation of the least-squares regression line and the residual plot to estimate the actual mean weight of the infants when they were 1 month old.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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