Question

consider the following table:

	ss	df	ms	f
error	?		622.89
total	8917.39	19

step 2 of 8: calculate the sum of squares of experimental error. please round your answer to two decimal places.
answer
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Explanation:

Step1: Recall the relationship between sums of squares

The total sum of squares (SS Total) is the sum of the sum of squares among treatments (SS Among Treatments) and the sum of squares of experimental error (SS Error). That is, $SS_{Total}=SS_{Among Treatments}+SS_{Error}$.

Step2: Rearrange the formula to solve for SS Error

We can rewrite the formula as $SS_{Error}=SS_{Total}-SS_{Among Treatments}$. We know that $SS_{Total} = 8917.39$. To find $SS_{Among Treatments}$, we use the formula for the mean - square among treatments $MS_{Among Treatments}=\frac{SS_{Among Treatments}}{DF_{Among Treatments}}$. Given $DF_{Among Treatments}=8$ and $MS_{Among Treatments}=258.2$, then $SS_{Among Treatments}=MS_{Among Treatments}\times DF_{Among Treatments}=258.2\times8 = 2065.6$.

Step3: Calculate SS Error

$SS_{Error}=8917.39 - 2065.6=6851.79$

Answer:

$6851.79$