Question

pt1) For the given data set, the estimated regression equation is   

y	x
12	4
3	6
7	2
6	4

Furthermore, it was determined that SST = 42

Calculate the value of F-statistic for the test of significance. Round your answer to four decimal places.

pt2) For the previous problem, what is the corresponding critical F value at α = 5% significance?

Show your answer with three decimal places.

pt3)

Using the results of questions #3 and #4, state the conclusion about the linear regression relationship.

Select one:

Reject H₀, the regression relationship is significant

Reject H₀, the regression relationship is not significant

Cannot reject H₀, the regression relationship is not significant

Cannot reject H₀, the regression relationship is significant

Answer 1

Answer:

1)

For the given data,

Therefore, F-statistic value = 0.470588 = 0.4706

2)

df 1 = 1

df 2 = 2

alpha = 5% = 0.05

For this F-critical value = 18.5128 = 18.513 (Using calculator)

3)

F-statistic value = 0.4706 < F- critical value = 18.513

So, we fail to reject the null hypothesis (H0) and the result is not significant.

So, Option 3: Cannot reject H0, the regression relationship is not significant is correct