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Statistics / The Practice of Statistics 5 / Chapter 3.1 / Problem 20

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor

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

Chapter 3, Problem 20

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QUESTION:

Data on dating 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 rooms. Then she measures the next man each woman dates. Here are the data (heights in inches): Women (x ): 66 64 66 65 70 65 Men (y ): 72 68 70 68 71 65 (a) Make a scatterplot of these data. Based on the scatterplot, do you expect the correlation to be positive or negative? Near 1 or not? (b) Find the correlation r step by step, using the formula on page 154. Do the data show that taller women tend to date taller men?

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QUESTION:

Data on dating 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 rooms. Then she measures the next man each woman dates. Here are the data (heights in inches): Women (x ): 66 64 66 65 70 65 Men (y ): 72 68 70 68 71 65 (a) Make a scatterplot of these data. Based on the scatterplot, do you expect the correlation to be positive or negative? Near 1 or not? (b) Find the correlation r step by step, using the formula on page 154. Do the data show that taller women tend to date taller men?

ANSWER:

Step 1 of 5

Given:

The data for the heights of men and women is provided.

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