   Chapter 7.7, Problem 23E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Determining Correlation In Exercises 19–24, plot the points and determine whether the data have positive, negative, or no linear correlation (see figures below). Then use a graphing utility to find the value of r and confirm your result. The number r is called the correlation coefficient. It is a measure of how well the model fits the data. Correlation coefficients vary between −1 and 1, and the closer ∣r∣ is to 1, the better the model. (0.5, 9), (1, 8.5), (1.5, 7), (2, 5.5), (2.5, 5), (3, 3.5)

To determine

To graph: The points (0.5,9),(1,8.5),(1.5,7),(2,5.5),(2.5,5),(3,3.5) and determine whether these points have positive, negative or no linear correlation. Also, determine the correlation coefficient using graphing utility.

Explanation

Given Information:

The given points xi=0.5,1,1.5,2,2.5,3  and  yi=9,8.5,7,5.5,5,3.5 respectively.

Graph:

Consider the provided points (0.5,9),(1,8.5),(1.5,7),(2,5.5),(2.5,5),(3,3.5)

The graph is shows negative linear correlation with r=1

It can be observed from the graph that the line is not passing through all the points thus the point has zero correlation

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