The following estimated regression equation based on 10 observations was presented. ŷ = 24.1570 + 0.5203x, + 0.491x2 Here, SST = 6,735.125, SSR = 6,229.375, sp, = 0.0816, and = 0.0568. (a) Compute MSR and MSE. zas (b) Compute F and perform the appropriate F test. Use a = 0.05. (c) Perform at test for the significance of ß,. Use a = 0.05. (d) Perform at test for the significance of B,. Use a = 0.05.

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Tutorial Exercise
The following estimated regression equation based on 10 observations was presented.
ŷ = 24.1570 + 0.5203x1
+ 0.491x2
Here, SST = 6,735.125, SSR = 6,229.375, sp.
0.0816, and
0.0568.
%D
zas
(a) Compute MSR and MSE.
(b) Compute F and perform the appropriate F test. Use a = 0.05.
(c) Perform at test for the significance of B,. Use a = 0.05.
(d) Perform at test for the significance of ß,. Use a = 0.05.
Step 1
(a) Compute MSR and MSE.
The MSR, mean square due to regression is calculated as follows where SSR is the sum of squares due to
regression and p is the number of independent variables in the estimated regression equation.
SSR
MSR
%D
The estimated regression equation was given to be ŷ = 24.1570 + 0.5203x, + 0.491x2. This equation has
two independent variables, so p =
The value of SSR was given to be SSR = 6,229.375. Use
these to find the value of MSR, rounding the result to three decimal places.
SSR
MSR =
6,229.375
Submit
Skip (you cannot come back).
Transcribed Image Text:Tutorial Exercise The following estimated regression equation based on 10 observations was presented. ŷ = 24.1570 + 0.5203x1 + 0.491x2 Here, SST = 6,735.125, SSR = 6,229.375, sp. 0.0816, and 0.0568. %D zas (a) Compute MSR and MSE. (b) Compute F and perform the appropriate F test. Use a = 0.05. (c) Perform at test for the significance of B,. Use a = 0.05. (d) Perform at test for the significance of ß,. Use a = 0.05. Step 1 (a) Compute MSR and MSE. The MSR, mean square due to regression is calculated as follows where SSR is the sum of squares due to regression and p is the number of independent variables in the estimated regression equation. SSR MSR %D The estimated regression equation was given to be ŷ = 24.1570 + 0.5203x, + 0.491x2. This equation has two independent variables, so p = The value of SSR was given to be SSR = 6,229.375. Use these to find the value of MSR, rounding the result to three decimal places. SSR MSR = 6,229.375 Submit Skip (you cannot come back).
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