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":
[tex]R^2=1-\dfrac{SSE}{SST}[/tex]
We will put the above mentioned value:
[tex]0.25=1-\dfrac{24}{SST}\\\\0.25-1=-\dfrac{24}{SST}\\\\-0.75=-\dfrac{24}{SST}\\\\SST=\dfrac{24}{0.75}\\\\SST=32[/tex]
Hence, SST for the data set is 32.
