the question for this is "*The Spanish Club begins the school year with a $50 balance in its account. To raise money for activit
ies during the school year, the club has bake sales every Friday after school. The table shows the club’s balance after the bake sale. Write an equation to represent the Spanish Club’s account balance after x weeks."
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Answer:
And
The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by where k represent the number of groups.
The degrees of freedom for the denominator on this case is given by .
And the total degrees of freedom would be
We can find the
And
The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .
And the we can find the F statistic