4 Suppose ô² = 200 and b = [3 5 2] where D(b,) = 28 D(b2) = 24 v(b3) = 18 %3D côv(b,,b2) = -16 côv(b,,b3) = 14 côv(b2, b3) = –12. Show that the F-statistic for testing the hypothesis bi = b2 + 4 = b3 + 7 has a value of 1. Calculate the estimate of b under the null hypothesis.

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4 Suppose
ô2 = 200 and b = [3 5 2] where
D(b) = 28
D(b,) = 24
v(B3) = 18
côv(b,, b2
) = -16 côv(b¡,b3) = 14 côv(b2, b3) = -12.
%3D
Show that the F-statistic for testing the hypothesis b, = b2 + 4 = bz +7 has a
value of 1. Calculate the estimate of b under the null hypothesis.
Transcribed Image Text:4 Suppose ô2 = 200 and b = [3 5 2] where D(b) = 28 D(b,) = 24 v(B3) = 18 côv(b,, b2 ) = -16 côv(b¡,b3) = 14 côv(b2, b3) = -12. %3D Show that the F-statistic for testing the hypothesis b, = b2 + 4 = bz +7 has a value of 1. Calculate the estimate of b under the null hypothesis.
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