Matching correlations Five scatterplots are shown below. Match each graph to the rbelow that best describes it. (Some r’s will be left over.)

r=0.9r=0.7r=0.3r=0r=0.3r=0.7r=0.9.

Short Answer

Expert verified

a) Correlation r=0.9

b) Correlation r=0

c) Correlation r=0.7

d) Correlation r=-0.3

e) Correlationr=-0.9

Step by step solution

01

Part(a) Step 1: Given Information

Given that,

r=0.9r=0.7r=0.3r=0r=0.3r=0.7r=0.9

02

Part(a) Step 2: Explanation

In the image, the general pattern travels from bottom left to upper right. This is referred to be a positive relationship between the two variables. The connection is linear in nature. That example, the general pattern runs from lower left to higher right in a straight line. Because the points do not stray far from the line, the association is strong. When comparing the scatterplot to the supplied figures, Correlation r=0.9is the best option.

03

Part(b) Step 1: Given Information

Given that,

r=0.9r=0.7r=0.3r=0r=0.3r=0.7r=0.9

04

Part(b) Step 2: Explanation

Figure (b) shows an overall pattern that is not consistent. The connection is not linear in nature. Because the points do not exhibit any link, the relationship is very weak. When comparing the scatterplot to the supplied figures, Correlation r=0is the best option.

05

Part(c) Step 1: Given Information

Given that,

r=0.9r=0.7r=0.3r=0r=0.3r=0.7r=0.9

06

Part(c) Step 2: Explanation

In figure(c), the general pattern travels from bottom left to upper right. This is referred to be a positive relationship between the two variables. The connection is linear in nature. That example, the general pattern runs from lower left to higher right in a straight line. Because the points wander substantially from the line, the link is not particularly strong. When comparing the scatterplot to the supplied figures, Correlation r=0.7is found.

07

Part(d) Step 1: Given Information

Given that,

r=0.9r=0.7r=0.3r=0r=0.3r=0.7r=0.9

08

Part(d) Step 2: Explanation

Figure (d) shows an overall pattern that moves from higher left to lower right. This is referred to be a negative relationship between the two variables. The connection is linear in nature. That example, the general pattern runs from higher left to lower right in a straight line. Because the points wander substantially from the line, the link is relatively weak. When comparing the scatterplot to the supplied figures, the correlation r=-0.3is found.

09

Part(e) Step 1: Given Information

Given that,

r=0.9r=0.7r=0.3r=0r=0.3r=0.7r=0.9

10

Part(e) Step 2: Explanation

In the image, the general pattern travels from top left to lower right. This is referred to be a negative relationship between the two variables. The connection is linear in nature. That example, the general pattern runs from higher left to lower right in a straight line. Because the points do not stray far off the line, the link is quite strong. When comparing the scatterplot to the supplied figures, the correlation r=-0.9is found.

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 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

Acid rain Refer to Exercise 39. Would it be appropriate to use the regression line to predict pH after1000 months? Justify your answer.

Managing diabetes People with diabetes measure their fasting plasma glucose (FPG; measured in units of milligrams per milliliter) after fasting for at least 8 hours. Another measurement, made at regular medical checkups, is called HbA. This is roughly the percent of red blood cells that have a glucose

molecule attached. It measures average exposure to glucose over a period of several months. The table below gives data on both HbA and FPG for 18 diabetics five months after they had completed a diabetes education class.

(a) Make a scatterplot with HbA as the explanatory variable. There is a positive linear relationship, but it is surprisingly weak.

(b) Subject 15 is an outlier in the y-direction. Subject 18 is an outlier in the x-direction. Find the correlation for all 18 subjects, for all except Subject 15 and

for all except Subject 18 Are either or both of these subjects influential for the correlation? Explain in simple language why r changes in opposite directions when we remove each of these points.

(c) Add three regression lines for predicting FPG from HbA to your scatterplot: for all 18 subjects, for all except Subject 15 and for all except Subject 18

Is either Subject 15 or Subject 18 strongly influential for the least-squares line? Explain in simple language what features of the scatterplot explain the degree of influence.

Merlins breeding Exercise 13 (page 160) gives data on the number of breeding pairs of merlins in an isolated area in each of nine years and the percent of males who returned the next year. The data show that the percent returning is lower after successful breeding seasons and that the relationship is roughly linear. The figure below shows the Minitab regression output for these data.

(a) What is the equation of the least-squares regression line for predicting the percent of males that

return from the number of breeding pairs? Use the equation to predict the percent of returning males after a season with 30 breeding pairs.

(b) What percent of the year-to-year variation in the percent of returning males is explained by the straight-line relationship with a number of breeding pairs the previous year?

(c) Use the information in the figure to find the correlation r between the percent of males that return and the number of breeding pairs. How do you know whether the sign of r is + or −?

(d) Interpret the value of s in this setting.

Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from the arm span x: y=6.4+0.93x

Measurements are in centimeters (cm).

How much does height increase on average for each additional centimeter of arm span?

(a)0.93cm(c)5.81cm(e)7.33cm(b)1.08cm(d)6.4cm

For which subject did the regression line overpredict fat gain by the most? Justify your answer.

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.

Sign-up for free