Question

If the coefficient of determination for a data set is 0.25 and the SEA for the data set is 12, what is the SST for the data set

A. 16
B. 20
C. 8
D. 12

Answer 1

A

Explanation:

We can use a simple formula to solve for SST. The formula is:

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

Where

the coefficient of determination is
`R^2`

Now, we are given
`R^2` is 0.25 and SSE is 12 (not SEA, it's SSE). we simply put it into the formula and solve for SST:

`\\SST=(12)/(1-0.25)\\SST =16`

correct answer choice is A