Question

To study whether movie ratings and release season influence the box office earnings, you gather data on 70 recent movies. You characterize each movie’s rating (G, PG, PG-13, R, or NC-17) and release season (summer or not summer).

1. Complete the ANOVA table below by filling in the shaded boxes

2. Find the appropriate critical value(s) [? = 0.05]

3. Does box office revenue significantly vary with rating, release season, or their interaction? Clearly answer for each.

	SS	df	MS	F
Rating	455
Season	192.5
Interaction	140
Within	1,050
Total	1,837.5

Answer 1

Ans:

df(rating)=5-1=4

df(season)=2-1=1

df(interaction)=(5-1)*(2-1)=4

N=5*2*70=170

df(within)=170-5*2=160

	SS	df	MS	F	critical F
Rating	455	4	113.75	17.333	2.43
Season	192.5	1	192.5	29.333	3.90
Interaction	140	4	35	5.333	2.43
Within	1,050	160	6.5625
Total	1,837.50	169

As,F statistic for rating,season and interaction is greater than respective critical F values,so rating,season and interaction are significant.