Question

People often assume that the taller a person is, the larger his or her shoe size is likely to be. In this module, you will test the theory. In order to do this, you must gather the shoe size and height (in inches) of ten or more adults. In order to standardize the data set, please add 2 sizes to the data values of any individuals you survey who wear shoes commonly found in the “men’s” section, or sized accordingly. So for instance, enter a size 7 women’s as a 7, enter a size 7 men’s as a 9. This will adjust for the sizing differential so we have just one set of data.

1. Create a table containing your data. Include the table in your post.
2. Create a scatter plot with the regression line and the correlation coefficient reflecting your data and include it in your post.
3. What is the value of the correlation coefficient? What does this mean about the strength or weakness of the correlation?

Answer 1

The data is:

Women's size	Men's size
7	9
5	12
9	8
6	13
7	11
8	11
6	10
8	14
9	12

The scatter plot with the regression line and the correlation coefficient is:

The value of the correlation coefficient is -0.02.

There is a weak, negative & linear relationship between the variables.