Question

If the coefficient of determination for a data set is 0.75 and the SSE for the data set is 9, what is the SST for the data set?

Answer 1

0.1873 aaaaaaaaaaaaaaaaaaaaaaaa

Answer 2

Answer:

Hence, the SST for the data set is:

                              36

Step-by-step explanation:

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:

            $r^2=1-\dfrac{SSE}{SST}$

i.e.

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

We are given:

        $r^2=0.75$

$SSE=9$

Hence, we get:

$\dfrac{9}{SST}=1-0.75\\\\\\i.e.\\\\\\\dfrac{9}{SST}=0.25$

i.e.

$SST=\dfrac{9}{0.25}\\\\\\SST=36$

                   Hence, SST for the data set is:

                                     36