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# For the following

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

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Problem 19E

For the following data:

 x 1.4 2.4 4 4.9 5.7 6.3 78 90 9.3 11 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:

Step 1 of 4:

The given data is

 x 1.4 2.4 4 4.9 5.7 6.3 7.8 9 9.3 11 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

Step 4 of 4

##### 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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