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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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.

Chapter 7.7, Problem 23E, Determining Correlation In Exercises 1924, plot the points and determine whether the data have

(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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