Question

If the coefficient of determination for a data set is 0.25 and the SSE for the data set is 6, what is the SST for the data set ?

Answer 1

Answer: The SST for the data set is 8.

Step-by-step explanation:

Since we have given that

Coefficient of determination (R²) = 0.25

SSE for the data = 6

SST = ?

As we know the formula for coefficient of determination:

$R^2=1-\dfrac{SSE}{SST}\\\\0.25=1-\dfrac{6}{SST}\\\\0.25-1=-\dfrac{6}{SST}\\\\-0.75=-\dfrac{6}{SST}\\\\SST=\dfrac{6}{0.75}\\\\SST=8$

Hence, the SST for the data set is 8.

Answer 2

Answer:

9

Step-by-step explanation:

The correct answer is: 9.