Question

if the coefficient of determination for a data set is 0.25 and the SSE for the data set is 24, what is the SST for the data set?

Answer 1

The answer is 32 on apex 

Answer 2

Answer:  SST for the data set is 32.

Step-by-step explanation:

Since we have given that

Coefficient of determination = R² = 0.25

Value of SSE = 24

We need to find SST.

As we know the formula for "Coefficient of determination":

$R^2=1-\dfrac{SSE}{SST}$

We will put the above mentioned value:

$0.25=1-\dfrac{24}{SST}\\\\0.25-1=-\dfrac{24}{SST}\\\\-0.75=-\dfrac{24}{SST}\\\\SST=\dfrac{24}{0.75}\\\\SST=32$

Hence, SST for the data set is 32.