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In an ANOVA problem if SST = 120 and SSTR = 80, then SSE is 20 40 80 120

Question

In an ANOVA problem if SST = 120 and SSTR = 80, then SSE is 20 40 80 120

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Solution

In an ANOVA problem, the total sum of squares (SST) is divided into the sum of squares due to regression (SSTR) and the sum of squares due to error (SSE). The relationship between these three quantities is given by the equation:

SST = SSTR + SSE

Given that SST = 120 and SSTR = 80, we can substitute these values into the equation to find SSE:

120 = 80 + SSE

By subtracting 80 from both sides of the equation, we find that:

SSE = 120 - 80 = 40

So, the correct answer is 40.

This problem has been solved

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