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Exercise 42 Ch 13

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A sample of 12 homes sold last week in St. Paul, Minnesota, is selected. Can we conclude that as the size of the home (reported below in thousands of square feet) increases, the selling price (reported in $ thousands) also increases?

Home size Selling price home size selling price
(thousands of (thousands $) (thousands of sq ft.) (thousands $)
sq ft.)

1.4 100 1.3 110
1.3 110 0.8 85
1.2 105 1.2 105
1.1 120 0.9 75
1.4 80 1.1 70
1.0 105 1.1 95

Compute the coefficient of correlation.
b. Determine the coefficient of determination.
c. Can we conclude that there is a positive association between the size of the home and
the selling price? Use the .05 significance level.

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