Match each scatterplot shown below with one of the four specified correlations a. 0.07 b. 0.89 c. -0.07 d. -0.72

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 35RE
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Match each scatterplot shown below with one of the four specified correlations

a. 0.07

b. 0.89

c. -0.07

d. -0.72

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Expert Solution
Step 1

The value  r= 0, confirms the lack of linear association between two variables. In this case, all the points are scattered on a graph and hardly any three points lie in a straight line.
If r= 1, it means that Y is proportional to X which ensures perfect positive linear association. In this case all points in a scatter diagram lie on a straight line extending from left bottom to the right top. It means as X increases, Y also increases.

If r= -1, it means as X increases, Y decreases. This ensures perfect negative association. In this situation Y is proportional to 1/x. All the points lie on a straight line extending from left top to the right bottom.

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