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Chapter 3: Q 22. (page 174)

A student wonders if tall women tend to date taller men than do short

women. She measures herself, her dormitory roommate, and the women in the adjoining dorm rooms. Then she measures the next man each woman dates. Here are the data (heights in inches):

a. Make a scatterplot of these data. Describe what you see.

b. Find the correlation r step by step, using the formula on page 166. Explain how your value for r matches your description in part (a).

Short Answer

Expert verified

Part (a) It appears that there is a positive correlation between women and men.

Part (b) The value of r is 0.5653

Step by step solution

01

Part (a) Step 1: Given information

02

Part (a) Step 2: Explanation

There are the following steps into excel.

Put the data into excel sheet.

Click on

Insert.

Select the data set.

Click on

Scatter

It appears that there is a positive correlation between women and men.

03

Part (b) Step 1: Calculation

The sample size (n)is 6

The linear correlation coefficient (r)can be calculated as:

r=n(危xy)鈭�(危x)(危y)n危x2(危x)2(n危y2(危y)2)=6(27339)鈭�(396)(414)6(26158)-(396)26(28598)鈭�4142=0.5653

Thus, the value of ris 0.5653

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