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{"ops":[{"insert":"YI = \u03b21X I 1 + \u03b2 2X I 2 + UI WhereUi \u223c NID (0, \u03c3u 2 ) , YI is observable random variable and theXij ' s , j =1, 2 are observable non-random (non-stochastic) variables. The data that follows is based on a sample of size N = 120 and gives the sums of squares and cross-products of the indicated variables Y X1 X2 Y 39 6 2 X1 6 4 0 X2 2 0 4 a). Compute the best linear unbiased estimates of the coefficients. (2 points) b). Give a 95% confidence interval for \u03b21 . (2 points) Test the hypothesis H 0 : \u03b21 + \u03b22 = 1 against the alternative H 0 : \u03b21 + \u03b22 \u2260 1 at the 95% confidence level.\u00a0\n"}]}
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