A study in Slovakia fit a multiple regression model relating Heights of adult females (Y, in centimeters), to Right Foot Length (X1, in cm) and Left Hand Length (X2, in cm). 1) Obtain the least squares fitted equation. Give the first fitted value and residual. 2) Give the error sum of squares and the mean square error. 3) Obtain the variance-covariance matrix for b 4) Give simultaneous 95% confidence intervals for beta0, beta1,beta2. 5) Give the Analysis of Variance 6) Use the F-test to test H0: beta1 = beta2 = 0 versus HA: beta1 0 and/or beta2 0 (=0.05) 7) Obtain R2 8) Compute SSR(X1), SSR(X2), SSR(X2|X1), and SSR(X1,X2)

RFL.X1	25	24	23	25	22	24	26	25	24	23	24	25	24	26	25	24	26	24	23	24
LHL.X2	17	17	17	18	18	17	20	16	17	18	17	17	17	18	17	18	18	17	17	19
height	181	169	185	181	166	168	185	179	172	164	168	177	180	179	175	168	179	172	170	173

9) Compute R^2 Y2|1 and R^2 Y2|2