Answer: D. .400
Step-by-step explanation:
Given : In a multiple regression model involving 44 observations, the following estimated regression equation was obtained.
[tex]\hat{Y}= 29 + 18x_1 + 43x_2 + 87x_3[/tex]
For this model,
Regression sum of squares =SSR = 600
and Sum of squares due to error =SSE = 400.
Total sum of squares = SST= SSR+SSE
SST= 600+400=1000
The multiple coefficient of determination is given by :-
[tex]R^2=1-\dfrac{SSR}{SST}[/tex]
Substitute values , we get
[tex]R^2=1-\dfrac{600}{1000}[/tex]
[tex]R^2=1-0.600=0.400[/tex]
Thus, the multiple coefficient of determination for the above model is [tex]R^2=0.400[/tex]
Hence, the correct answer is D. .400.
