Question: 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? Both the Home size and the Selling Price are in thousands.

Home Size Selling Price Home Size Selling Price

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

a.) Compute the correlation coefficient.

b.) Determine the coefficient of determination.

c.) Can we conclude that there is a positive association between the size of the hoMeand the selling price? Use the .05 significance level.