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

Answer: SST for the data set is 32.

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-(SSE)/(SST)`

We will put the above mentioned value:

`0.25=1-(24)/(SST)\\\\0.25-1=-(24)/(SST)\\\\-0.75=-(24)/(SST)\\\\SST=(24)/(0.75)\\\\SST=32`

Hence, SST for the data set is 32.