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2. Fit the mlodel Y = Bo + B1X1 + B2X2 + to the data below. Y X1 X2 11 -5 5 11 -4 4
2. Fit the mlodel Y = Bo + B1X1 + B2X2 + to the data below. Y X1 X2 11 -5 5 11 -4 4 8 -1 1 25 5 4 2 2 3 3 -3 -2 -2 -3 (a) Find the least square estimate and the fitted regression equation. (b) Find the variance-covariance matrix of the least square estimate. (c) Find the appropriate F-statistic for testing Ho : B1 = 0 with a = 0.05. (d) Find the appropriate F-statistic for testing Ho : B1 = B2 = 0 with a = 0.05. (e) Compute t-statistics for both Ho : B1 = 0 and H. : B2 = 0) with a -0.05. (f) Find RP. (g) Find the 95% confidence interval for The mean of y at xh = = (1,0,0) T 2. Fit the mlodel Y = Bo + B1X1 + B2X2 + to the data below. Y X1 X2 11 -5 5 11 -4 4 8 -1 1 25 5 4 2 2 3 3 -3 -2 -2 -3 (a) Find the least square estimate and the fitted regression equation. (b) Find the variance-covariance matrix of the least square estimate. (c) Find the appropriate F-statistic for testing Ho : B1 = 0 with a = 0.05. (d) Find the appropriate F-statistic for testing Ho : B1 = B2 = 0 with a = 0.05. (e) Compute t-statistics for both Ho : B1 = 0 and H. : B2 = 0) with a -0.05. (f) Find RP. (g) Find the 95% confidence interval for The mean of y at xh = = (1,0,0) T
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