The following data were obtained on 12 males between the ages of 12 and 18 years (all measurements are in centimeters):

Height

(Y)

Radius Length

(X1)

Femur Length

(X2)

149.0 21.00 42.50 152.0 21.79 43.70 155.7 22.40 44.75 159.0 23.00 46.00 163.3 23.70 47.00 166.0 24.30 47.90 169.0 24.92 48.95 172.0 25.50 49.90 174.5 25.80 50.30 176.1 26.01 50.90 176.5 26.15 50.85 179.0 26.30 51.10 Total 1992.1 290.87 573.85

(a) Find the sample multiple correlation coefficient and test the null hypothesis that ry:12 ¼ 0.

(b) Find each of the partial correlation coefficients and test each for significance. Let a ¼ :05 for all tests.

(c) Determine the p value for each test.

(d) State your conclusions.