Question

ANOVA
		df	SS
	Regression	1	882
	Residual	20	4000
	Total	21	4882
		Coefficients	Standard Error	t Stat
	Intercept	5.00	3.56
	Variable x	6.30	3.00

Use the ANOVA table that was provided in question 7 and Perform an F test and determine whether x and y are related. Use α = .05

Answer Options:

Since the test statistic F = 3.45 < 4.35 ,Fail to reject HO

Since the test statistic F = .45< 3.45, Fail to reject HO

Since the test statistic F = 4.41 > 4.35, reject H0.

Since the test statistic F = 4.41>4.05, reject HO.

Answer 1

We have F test statistic value is

$F=\frac{\frac{882}{1}}{\frac{4000}{20}}=4.41$

F critical value is 4.35.........................by using =FINV(0.05,1,20)

F test statistic value >F critical value

i.e. 4.41 > 4.35  

therefore we reject H0.

Since the test statistic F = 4.41 > 4.35, reject H0.