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 H0: 1 = 0 versus Ha: 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 2 decimal places.)

Utilize the F(model) statistic and the appropriate critical value to test H0: 1 = 0 versus Ha: 1 0 by setting 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 H0: 1 = 0 versus Ha: 1 0 by setting 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.)

  ANOVA df SS MS F Significance F   Regression 1     5,830.3592 5,830.3592 .09        .7719   Residual 10     656,925.6408 65,692.5641      Total 11     662,756.0000 (n = 12; t = -.2979)   

Explanation / Answer

a) F=MSR/MSE=5830.3592/65692.5641=0.09

b) The p value corresponding to -0.2979 is 0.771545. The p value is not less than alpha=0.05. Fail to reject null hypothesis. There is not sufficient sample evidence to conclude that x is useful for predicting y.

c) The p value is not less than alpha=0.01.Fail to reject null hypothesis. There is not sufficient sample evidence to conclude that x is useful for predicting y.

d) The p value is 0.7719. The p value is not less than 0.10, 0.05, 0.01 and 0.001. Therefore, fail to reject null hypothesis. No evidence of significant relationship between x and y.

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