QUESTION IMAGE
Question
the sales strategy data given below yields the following statistics for the sum of squares for treatments and the sum of squares for error.
sales by strategy (millions of dollars)
| strategy 1 | strategy 2 | strategy 3 | strategy 4 | strategy 5 |
|---|---|---|---|---|
| 8 | 2 | 2 | 4 | 6 |
| 9 | 12 | 10 | 6 | 5 |
| 10 | 15 | 5 | 9 | 5 |
| 12 | 2 | 10 | 7 | 3 |
| 11 | 6 | 6 | 14 | 8 |
| 15 | 7 | 4 | 5 | 3 |
| 12 | 6 | 7 | 9 | 7 |
| 9 | 9 | 12 | 7 | 5 |
copy data
sst ≈ 121.6889
sse ≈ 433.5556
step 2 of 4: what are the degrees of freedom associated with the sum of squares for treatments, sst?
Step1: Recall degrees - of - freedom formula for SST
The formula for the degrees of freedom associated with the sum of squares for treatments ($df_{SST}$) in a one - way ANOVA is $k - 1$, where $k$ is the number of treatments (or groups).
Step2: Identify number of groups
Here, the number of sales strategies (groups) $k=5$.
Step3: Calculate degrees of freedom
Using the formula $df_{SST}=k - 1$, we substitute $k = 5$ into the formula: $df_{SST}=5 - 1=4$.
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