Question

consider the following table:

	ss	df	ms	f
error			622.89
total	8917.39	19

step 6 of 8: what is the variation of the individual measurements about their respective means? please round your answer to two decimal places.
answer
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Explanation:

Step1: Recall the relationship between SS (Sum - of - Squares)

The total sum - of - squares (SSTotal) is the sum of the sum - of - squares among treatments (SSAmong) and the sum - of - squares of error (SSError). That is, $SSTotal=SSAmong + SSError$.
We know that $SSTotal = 8917.39$.

Step2: Calculate SSError

We can find SSError by subtracting SSAmong from SSTotal. First, we need to find SSAmong. We know that the mean square among treatments $MSAmong=\frac{SSAmong}{DFAmong}$, and $DFAmong = 8$, $MSAmong = 258.2$. So, $SSAmong=MSAmong\times DFAmong=258.2\times8 = 2065.6$.
Then, $SSError=SSTotal - SSAmong=8917.39−2065.6 = 6851.79$.
The variation of the individual measurements about their respective means is the sum - of - squares of error.

Answer:

$6851.79$