The following table is the output of simple linear regression analysis. Note tha

Question

The following table is the output of simple linear regression analysis. Note that in the lower right hand corner of the output we give (in parentheses) the number of observations, n, used to perform the regression analysis and the t statistic for testing H_0: beta_1 = 0 versus H_a: beta_1 notequalto 0. Use the explained variation and the unexplained variation as given on the computer output to calculate the F(model) statistic. (Round your answer to 2 decimal places.) Utilize the F(model) statistic and the appropriate critical value to test H_0: beta_1 =0 versus H_a: beta_1 notequalto 0 by setting a equal to.05. What do you conclude about the regression relationship between y and x? Utilize the F(model) statistic and the appropriate critical value to test H_0: beta_1 = 0 versus H_a: beta_1 notequalto 0 by setting a equal to.01. What do you conclude about the regression relationship between y and x? Find the p-value related to F(model) on the computer output and report its value. Using the p-value, test the significance of the regression model at the.10,.05,.01, and.001 levels of significance. What do you conclude? (Round your answer to 4 decimal places.)

Explanation / Answer

From the above output:

a) F = 0.02

b) Since p-value > 0.05, Fail to reject H0 with insufficient evidence of a significant relationship between x and y.

c) Since p-value > 0.01, Fail to reject H0 with sufficient evidence of a not significant relationship between x and y.

d) p-value = 0.8975; Reject H0 at alpha = 0.10,0.05,0.01,0.001 (all values) levels of significance. There is not sufficient evidence of a significant relationship between x and y.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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