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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 20E, Determining Correlation In Exercises 19-24, plot the points and determine whether the data have

( 1 , 7.5 ) , ( 2 , 7 ) , ( 3 , 7 ) , ( 4 , 6 ) , ( 5 , 5 ) , ( 6 , 4.9 )

To determine

To graph: The points (1,7.5),(2,7),(3,7),(4,6),(5,5),(6,4.9) and determine whether these points have positive, negative or no linear correlation. Also determine the correlation coefficient using graphing utility.

Explanation

Given Information:

The provided points are (1,7.5),(2,7),(3,7),(4,6),(5,5),(6,4.9).

Graph:

Consider the provided points,

(1,7.5),(2,7),(3,7),(4,6),(5,5),(6,4.9)

Label these points on coordinate axis and connect them with a straight line as shown below,

It can be observed from the graph that the graph has negative correlation

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