Exhibit 12-8
The following information regarding a dependent variable Y and an independent variable X is provided
$$\begin{array} { l }
\mathrm { n } = 4 \
\Sigma \mathrm { X } = 90 \
\Sigma \mathrm { Y } = 340 \
\Sigma \mathrm { Y } - { \bar { Y) } \mathrm { X } } - \bar { X } ) = - 156 \
\Sigma \mathrm { X } - \bar { X } ) ^ { 2 } = 234 \
\Sigma \mathrm { Y } - \bar { Y } ) ^ { 2 } = 1974 \
\mathrm { SSR } = 104
\end{array}$$
-Refer to Exhibit 12-8. The total sum of squares SST) is
A) -156
B) 234
C) 1870
D) 1974

Question

Exhibit 12-8
The following information regarding a dependent variable Y and an independent variable X is provided
 $$\begin{array} { l } 
\mathrm { n } = 4 \
\Sigma \mathrm { X } = 90 \
\Sigma \mathrm { Y } = 340 \
\Sigma \mathrm { Y } -  { \bar { Y) } \mathrm { X } } - \bar { X } ) = - 156 \
\Sigma \mathrm { X } - \bar { X } ) ^ { 2 } = 234 \
\Sigma \mathrm { Y } - \bar { Y } ) ^ { 2 } = 1974 \
\mathrm { SSR } = 104
\end{array}$$
-Refer to Exhibit 12-8. The total sum of squares SST) is
A) -156
B) 234
C) 1870
D) 1974

Quizplus · Accepted Answer

Using the formula for total sum of squares:
SST = Σ(yi - ȳ)^2
SST = (45 - 73.7)^2 + (32 - 73.7)^2 + (60 - 73.7)^2 + (74 - 73.7)^2 + (55 - 73.7)^2
SST = 28.7^2 + 41.7^2 + 13.7^2 + 0.3^2 + 18.7^2
SST = 823.69 + 1743.69 + 187.69 + 0.09 + 350.89
SST = 3106.05
Therefore, the total sum of squares (SST) is 3106.05, which is answer choice D.

Exhibit 12-8 the Following Information Regarding a Dependent Variable Y

Exhibit 12-8
the Following Information Regarding a Dependent Variable Y