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In: Statistics and Probability

Consider the following estimated regression equation, based on 10 observations. y^=29.1270+.5906x1+.4980x2 The values of SST and...

Consider the following estimated regression equation, based on 10 observations.

y^=29.1270+.5906x1+.4980x2

The values of SST and SSR are SST= 6724.125 and SSR = 6216.375, respectively.

a) Compute the value of MSR. your answers to 3 decimal places.

b) For the estimated regression equation given, compute R2(multiple coefficient of determination).Round your answers to 3 decimal places.

c) Predict a value of y when x1=180 and x2=310 (Round your answers to 3 decimal places).

d) For the estimated regression equation given, compute Ra2(adjusted multiple coefficient of determination).Round your answers to 3 decimal places.

e) Compute p-value of the F test to test the following hypotheses

f) Compute the value of MSE. Round your answers to 3 decimal places.

e) Compute F-value (test statistic) of the F test to test the following hypotheses:

H0: β1=β2=0

Ha: One or more of the parameters is not equal to zero

Round your answers to 2 decimal places.

H0: β1=β2=0

Ha: One or more of the parameters is not equal to zero

Round your answers to 4 decimal places.

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