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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 19E Chapter 1.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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4
Problem 19E

For the following data:

x

1.4

2.4

4.0

4.9

5.7

6.3

78

90

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

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 scatterplot of In y versus x. Is the relationship between x and In 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 .t and In y? Explain.

Step-by-Step Solution:

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

Step 2 of 4:

a). We need to make a scatter plot of y versus x.

 

                         

      We observe the above scatter plot, we conclude that the relationship is nonlinear.

Step 3 of 4

Chapter 1.3, Problem 19E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 19E from chapter: 1.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: Relationship, Linear, nonlinear, scatterplot, easier. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 19E from 1.3 chapter was answered, more than 311 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “For the following data:x1.42.44.04.95.76.378909.311.0y2.33.75.79.96.915.815.436.934.653.2a. 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 scatterplot of In y versus x. Is the relationship between x and In 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 .t and In y? Explain.” is broken down into a number of easy to follow steps, and 110 words.

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