Exhibit 13-2
A regression model between sales Y in $1,000), unit price X1 in dollars) and television advertisement X2 in dollars) resulted in the following function:
$\hat { Y }$ =7-3X1+5X2
For this model SSR = 3500, SSE = 1500, and the sample size is 18.
-Refer to Exhibit 13-2. The multiple coefficient of correlation for this problem is
A) 0.70
B) 0.8367
C) 0.49
D) 0.2289

Question

Exhibit 13-2
A regression model between sales Y in $1,000), unit price X1 in dollars) and television advertisement X2 in dollars) resulted in the following function:
 $\hat { Y }$ =7-3X1+5X2
For this model SSR = 3500, SSE = 1500, and the sample size is 18.
-Refer to Exhibit 13-2. The multiple coefficient of correlation for this problem is
A) 0.70
B) 0.8367
C) 0.49
D) 0.2289

Quizplus · Accepted Answer

The multiple coefficient of correlation (R) is the square root of the coefficient of determination (R²). R² is calculated as SSR/(SSR+SSE) = 3500/(3500+1500) = 0.7. Therefore, R = √0.7 ≈ 0.8367.

Exhibit 13-2 a Regression Model Between Sales Y in $1,000) Y^\hat { Y }Y^

Exhibit 13-2
a Regression Model Between Sales Y in $1,000) $\hat { Y }$