Question

Identify and interpret the F test (one paragraph):

• Using the p-value approach, is the null hypothesis for the F test rejected or not rejected? Why or why not?
• Interpret the implications of these findings for the model.

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.60
R Square	0.36
Adjusted R Square	0.26
Standard Error	9.25
Observations	30.00
ANOVA
	df	SS	MS	F	Significance F
Regression	4.00	1212.46	303.12	3.54	0.02
Residual	25.00	2139.14	85.57
Total	29.00	3351.60
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-66.22	61.21	-1.08	0.29	-192.28	59.83	-192.28	59.83
K/BB	5.76	1.87	3.07	0.01	1.90	9.63	1.90	9.63
K/9	-2.14	1.48	-1.45	0.16	-5.18	0.90	-5.18	0.90
P/IP	4.55	3.83	1.19	0.25	-3.34	12.44	-3.34	12.44
W#	0.77	16.82	0.05	0.96	-33.87	35.41	-33.87	35.41

Answer 1

Null and alternative hypothesis :

Ho : Overall model is not significant.

H1 : Oveall model is significant.

From provide output,

F - statistic = 3.54

P - value = P ( F 4,25 > 3.54)

P - value = 0.02

Let us consider ,

level of significance.

Decision : we reject Ho, because p- value is less than level of significance.

Interpretation :We may conclude that over all model is statistically significant with 

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