Question

Complete the following ANOVA table for a multiple linear regression model and answer the following questions.

Source	df	SS	MS	F
Regression		93
	30
Total	33	267

a) How many independent variables are included in the model?

b) State the null and alternate hypothesis to be tested.

c) At a 0.01 level of significance, is the multiple linear regression model significant? (Justify)

d) How many data points have been collected?

Answer 1

Source	df	SS	MS	F
Regression	3	93	31	5.345
Error	30	174	5.8
Total	33	267

a)

There are three independent variables are included in the model.

b)

The null and alternative hypothesis

H1: At least one of are not the same.

c)

Level of significance = 0.01

Test statistic F = 5.345

Degrees of freedom are: 3, 30

Critical value = 4.510

( From f table)

Test statistic > critical value we reject the null hypothesis.

Conclusion: The multiple linear regression model significant.

d)

Data points are: 33+ 1 = 34