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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 22E, Determining Correlation In Exercises 1924, plot the points and determine whether the data have

(1, 36), (2, 10), (3, 0), (4, 4), (5, 16), (6, 36)

To determine

To graph: The points (1,36),(2,10),(3,0),(4,4),(5,16),(6,36) and determine whether these points have positive, negative or no linear correlation. Also determine the correlation coefficient using graphing utility.

Explanation

Given Information:

The points (1,36),(2,10),(3,0),(4,4),(5,16),(6,36).

Graph:

Consider the provided point (1,36),(2,10),(3,0),(4,4),(5,16),(6,36).

The graph (1,36),(2,10),(3,0),(4,4),(5,16),(6,36)

Therefore, the data points have no correlation with r=0.075.

To determine the correlation coefficient using TI-83 calculator follow the steps given below,

Step 1: Press STAT key and then press 1 to select Edit.

Step 2: Enter the provided coordinates as,

L1 L2
1 36
2 10
3 0
4 4
5 16
6 36

Step 3: Press 2nd and then 0 key to enter into CATALOG section

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