The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9
SST = 6.8

The coefficient of determination is
A) .8489.
B) -.7206.
C) .7206.
D) .375.

Question

The following information regarding a dependent variable (y) and an independent variable (x) is provided.  ​ SSE = 1.9
SST = 6.8
​
The coefficient of determination is
A) .8489. 
B) -.7206. 
C) .7206. 
D) .375.

Quizplus · Accepted Answer

The coefficient of determination is the proportion of the total variation in the dependent variable (y) that is explained by the independent variable (x). It is calculated as the ratio of the explained variation (SSR) to the total variation (SST). The formula is:
R-squared = SSR/SST
where SSR = SST - SSE (unexplained variation)
Using the provided values:
SSR = SST - SSE = 6.8 - 1.9 = 4.9
R-squared = SSR/SST = 4.9/6.8 = 0.7206
Therefore, the coefficient of determination is 0.7206 or approximately 72.06%. The best choice is C.

The Following Information Regarding a Dependent Variable (Y) and an Independent