Consider the linear model y1 = +1++1+1 y2 = +1++1+2 y3 = +1+3 y4 = +1+4 y5 = +2++2+5 y6 = +2++2+6 y7 = +2+7 y8 = +2+8

(a) When is a0 + a11 + a22 + a3 + a41 + a52 estimable?

(b) Indicate whether the following parametric functions are estimable with this model.

(1) , (2) , (3) 1 -2, (4) 1 -2

and calculate the least-quadratic estimates and the standard deviations of these estimates when possible.

(c) Contrast hypothesis H0 : 1 = 2,1 = 2 if the values of the response variable in the proposed model are. 7.10, 6.95, 3.87, 4.19, 6.93, 7.12, 3.94, 4.05

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