In a multiple regression analysis involving 40 observations and 5 independent variables,the following statistics are given: Total variation in y = 350 and SSE = 50.Then,the coefficient of determination is:
A)0.8408
B)0.8571
C)0.8469
D)0.8529

Question

Quizplus · Accepted Answer

The coefficient of determination is defined as the proportion of variation in the dependent variable that is explained by the independent variables. It can be calculated as follows:
R-squared = 1 - (SSE / SST)
where SSE is the sum of squared errors and SST is the total sum of squares.
In this case, we are given that SST = 350 and SSE = 50. Therefore,
R-squared = 1 - (50 / 350) = 0.8571
So the best choice is B.

In a Multiple Regression Analysis Involving 40 Observations and 5