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

Respuesta :

Answer:

A

Step-by-step explanation:

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

[tex]SST=\frac{SSE}{1-R^2}[/tex]

Where

the coefficient of determination is  [tex]R^2[/tex]

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

[tex]\\SST=\frac{12}{1-0.25}\\SST =16[/tex]

correct answer choice is A