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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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Chapter 1, Problem 19E

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QUESTION:

For the following data:

a. Make a scatterplot of y versus x. Is the relationship between x and y approximately linear, or is it nonlinear?

b. Compute the natural logarithm of each y value. This is known as making a log transformation of y. Make a scatter plot of ln y versus x. Is the relationship between x and ln y approximately linear, or is it nonlinear?

c. In general, it is easier to work with quantities that have an approximate linear relationship than with quantities that have a nonlinear relationship. For these data, do you think it would be easier to work with x and y or with x and ln y? Explain.

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QUESTION:

For the following data:

a. Make a scatterplot of y versus x. Is the relationship between x and y approximately linear, or is it nonlinear?

b. Compute the natural logarithm of each y value. This is known as making a log transformation of y. Make a scatter plot of ln y versus x. Is the relationship between x and ln y approximately linear, or is it nonlinear?

c. In general, it is easier to work with quantities that have an approximate linear relationship than with quantities that have a nonlinear relationship. For these data, do you think it would be easier to work with x and y or with x and ln y? Explain.

ANSWER:

Answer:

Step 1 of 4:

               The given data is

                                 

 x

1.4

2.4

4

4.9

5.7

6.3

7.8

9.0

9.3

11.0

 y

2.3

3.7

5.7

9.9

6.9

15.8

15.4

36.9

34.6

53.2

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