Hence, the SST for the data set is:
36
We know that the formula or the expression that relates coefficient of determination i.e. (r²) of the set and SSE and SST for the data set is:
[tex]r^2=1-\dfrac{SSE}{SST}[/tex]
i.e.
[tex]\dfrac{SSE}{SST}=1-r^2[/tex]
We are given:
[tex]r^2=0.75[/tex]
[tex]SSE=9[/tex]
Hence, we get:
[tex]\dfrac{9}{SST}=1-0.75\\\\\\i.e.\\\\\\\dfrac{9}{SST}=0.25[/tex]
i.e.
[tex]SST=\dfrac{9}{0.25}\\\\\\SST=36[/tex]
Hence, SST for the data set is:
36
