The following table is the output of simple linear regressio

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 H₀: ₁ = 0 versus H_a: ₁ 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 3 decimal places.)

Utilize the F(model) statistic and the appropriate critical value to test H₀: ₁ = 0 versus H_a: ₁ 0 by setting equal to .05. What do you conclude about the regression relationship between y and x?

H₀ with

Utilize the F(model) statistic and the appropriate critical value to test H₀: ₁ = 0 versus H_a: ₁ 0 by setting equal to .01. What do you conclude about the regression relationship between y and x?

H₀ with

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?

H₀ at =

of a significant relationship between x and y.

Solution

a. F = 946.75

pvalue = 0.000

b. At 0.05 we reject Ho and conclude that slope is significant

c. At 0.01 we reject Ho and conclude that slope is significant

d. At 0.001 we reject Ho and conclude that slope is significant.

pvalue = 0.0000

At alpha = 0.10,0.05,0.01 and 0.001 there is significant relation between x and y