Part 3: Least Squares

The following are hypothetical data on the number of doctors per 10,000 inhabitants and the rate of prematurely delivered newborns for different countries of the world.

Table 3: Number of Doctors Verses the Rate of Prematurely Delivered Newborns

Country Doctors per 100,000 Early births per 100,000 1 3 92 2 5 88 3 5 85 4 6 86 5 7 89 6 7 75 7 7 70 8 8 68 9 8 69 10 10 50 11 12 45 12 12 41 13 15 38 14 18 35 15 19 30 16 23 6

Using the Minitab statistical procedure:

• Apply least squares analysis to fit a regression line to the data.
• Calculate an F-test and a t-test to test for the significance of the regression.
• Test for goodness of fit using R2.