For the following, please consider the model Y = α + βX + ε. Using nine observations and OLS; the following results are obtained with t-statistics shown within parentheses under the null hypothesis that H0: α = 0 and β = 0. Y = 17.6 + 3.8 X (1.92) (2.35) 1)R 2 = 0.58, F = 5.52, mean of Y = 22 and the mean of X = 11. The estimated slope coefficient indicates....? 2)Testing the null hypothesis that H0: β=0 against the alternative hypothesis that....? Ha: β≠0 at the 5% significance level, we find the critical value of the test statistic is what? 3) What is the conlusion regarding the above hypothesis at the 5% significance level 4)What does the R2 statistic indicate? 5) The critical value for the F-statistic (at the 5% significance level) is what? 6) The F-statistic allows us to conclude (at the 5% significance level) that?..
For the following, please consider the model Y = α + βX + ε. Using nine observations and OLS; the following results are obtained with t-statistics shown within parentheses under the null hypothesis that H0: α = 0 and β = 0.
|
Y = |
17.6 |
+ |
3.8 X |
|
|
(1.92) |
|
(2.35) |
1)R 2 = 0.58, F = 5.52,
The estimated slope coefficient indicates....?
2)Testing the null hypothesis that H0: β=0 against the alternative hypothesis that....?
Ha: β≠0 at the 5% significance level, we find the critical value of the test statistic is what?
3) What is the conlusion regarding the above hypothesis at the 5% significance level
4)What does the R2 statistic indicate?
5) The critical value for the F-statistic (at the 5% significance level) is what?
6) The F-statistic allows us to conclude (at the 5% significance level) that?..
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