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In an analysis of variance problem if SST (or TSS) = 120 and SSTR  (or BSS)= 80, then SSE (or WSS) isGroup of answer choices2004080120

Question

In an analysis of variance problem if SST (or TSS) = 120 and SSTR  (or BSS)= 80, then SSE (or WSS) isGroup of answer choices2004080120

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Solution

In an analysis of variance (ANOVA), the total sum of squares (SST or TSS) is partitioned into the sum of squares due to regression (SSTR or BSS) and the sum of squares due to error (SSE or WSS).

The relationship between these 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 sum of squares due to error (SSE or WSS) is 40.

This problem has been solved

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