If SSR 12 and SSE 18 determine SST then compute the coeffi

If SSR = 12 and SSE = 18, determine SST, then compute the coefficient of determination, r2, and interpret its meaning. Interpret the meaning of r2. Choose the correct answer below.

Solution

Note that

SST = SSR + SSE = 12 + 18 = 30 [answer]

As

R^2 = SSR / SST,

Then

R^2 = 12/30 = 0.4 [answer]

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The answer here is by definition:

OPTION C: It means that r^2 * 100% of the variatio in the dependent variable can be explained by the variation in the independent variable. [ANSWER, C]