Using the appropriate model, sample size n , and output below: Model: y = 0 + 1

Question

Using the appropriate model, sample size n, and output below:

Model: y = 0 + 1x1 + 2x2 + 3x3 +      Sample size: n = 16

(1) Report SSE, s2, and s as shown on the output. Calculate s2 from SSE and other numbers. (Round your answers to 4 decimal places.)

(3) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 3 decimal places.)

(4) Calculate the F(model) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 2 decimal places.)

F(model)              

(5) Use the F(model) statistic and the appropriate critical value to test the significance of the linear regression model under consideration by setting equal to .05.

(Click to select)Do not rejectReject H0: 1 = 2 = 0 by setting = .05.

(6) Use the F(model) statistic and the appropriate critical value to test the significance of the linear regression model under consideration by setting equal to .01.

(Click to select)Do not rejectReject H0: 1 = 2 = 0 by setting = .01.

(7) Find the p-value related to F(model) on the output. Using the p-value, test the significance of the linear regression model by setting = .10, .05, .01, and .001. (Round your answer to 4 decimal places.)

Explanation / Answer

1) SSE =2.7524

s2 =0.5505

s=0.7420

2)R2 =0.885

Rbar2 =0.839

3)Total variation =0.100 =100%

Unexplained variation =0.115~ 11.5%

Explained variation =0.885 ~88.5%

4)F(model) =19.29

5)as p vlaue is below 0.01 and 0.05 level

Reject H0

6)

Reject H0

7) p-value =0.0045 ;  Reject at = 0.10, 0.05, and 0.01

we have very strong evidence that H0 is false

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.