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Matching correlations Five scatterplots are shown below. Match each graph to the rbelow that best describes it. (Some r鈥檚 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.

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