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

Hence, the SST for the data set is:

36

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-(SSE)/(SST)`

i.e.

`(SSE)/(SST)=1-r^2`

We are given:

`r^2=0.75`

`SSE=9`

Hence, we get:

`(9)/(SST)=1-0.75\\\\\\i.e.\\\\\\(9)/(SST)=0.25`

i.e.

`SST=(9)/(0.25)\\\\\\SST=36`

Hence, SST for the data set is:

36