Exhibit 13-8
The following estimated regression model was developed relating yearly income Y in $1,000s) of 30 individuals with their age X1) and their gender X2) 0 if male and 1 if female).
$\hat { Y }$ =30+0.7X1+3X2
Also provided are SST = 1,200 and SSE = 384.
-Refer to Exhibit 13-8. The multiple coefficient of determination is
A) 0.32
B) 0.42
C) 0.68
D) 0.50

Question

Exhibit 13-8
The following estimated regression model was developed relating yearly income Y in $1,000s) of 30 individuals with their age X1) and their gender X2) 0 if male and 1 if female).
 $\hat { Y }$ =30+0.7X1+3X2
Also provided are SST = 1,200 and SSE = 384.
-Refer to Exhibit 13-8. The multiple coefficient of determination is
A) 0.32
B) 0.42
C) 0.68
D) 0.50

Quizplus · Accepted Answer

The multiple coefficient of determination, R², is calculated as 1 - (SSE/SST). Here, R² = 1 - (384/1200) = 0.68.

Exhibit 13-8 the Following Estimated Regression Model Was Developed Relating Y^\hat { Y }Y^

Exhibit 13-8
the Following Estimated Regression Model Was Developed Relating $\hat { Y }$