In a regression analysis of a first-order model involving 3 predictor variables and 24 observations, the following estimated regression equation was developed. ŷ = 12 – 15x, + 5x2 + 16x3 Also, the following standard errors and the sum of squares were obtained. S6. = 3 SST = 4,800 = 7 Sb3 = 6 SSE = 1,295 Find the multiple coefficient of determination. O 0.27 O 0.37 O 0.73 O 0.85

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In a regression analysis of a first-order model involving 3 predictor variables and 24 observations, the following estimated regression equation was developed.

\[
\hat{y} = 12 - 15x_1 + 5x_2 + 16x_3
\]

Also, the following standard errors and the sum of squares were obtained.

\[
s_{b_1} = 3 \quad s_{b_2} = 6 \quad s_{b_3} = 7
\]

\[
SST = 4,800 \quad SSE = 1,295
\]

Find the multiple coefficient of determination.

- ○ 0.27
- ○ 0.37
- ○ 0.73
- ○ 0.85
Transcribed Image Text:In a regression analysis of a first-order model involving 3 predictor variables and 24 observations, the following estimated regression equation was developed. \[ \hat{y} = 12 - 15x_1 + 5x_2 + 16x_3 \] Also, the following standard errors and the sum of squares were obtained. \[ s_{b_1} = 3 \quad s_{b_2} = 6 \quad s_{b_3} = 7 \] \[ SST = 4,800 \quad SSE = 1,295 \] Find the multiple coefficient of determination. - ○ 0.27 - ○ 0.37 - ○ 0.73 - ○ 0.85
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