Question

3. Suppose a model Y = ?? + ??x? + ??x? + ??x? + ??x? + ??x? + ? was fit to n = 34 data points. The following results were obtained: > summary( lm( y ~ x1 + x2 + x3 + x4 + x5 ) )$r.squared [1] 0.40107 > summary( lm( y ~ x1 + x2 + x3 + x4 + x5 ) )$sigma [1] 4 > summary( lm( y ~ x1 + x3 + x5 ) )$sigma^2 [1] 17.6 a) Perform the significance of the regression test at a 5% level of significance. State the null hypothesis. Report the value of the test statistic, the critical value(s), and the decision. What is the p-value (approximately) of this test? b) Test H? : ?? = ?? = 0 at a 5% level of significance. Report the value of the test statistic, the critical value(s), and the decision. What is the p-value (approximately) of this test?

          3. Suppose a model
Y = ?? + ??x? + ??x? + ??x? + ??x? + ??x? + ?
was fit to n = 34 data points. The following results were obtained:

> summary( lm( y ~ x1 + x2 + x3 + x4 + x5 ) )$r.squared
[1] 0.40107
> summary( lm( y ~ x1 + x2 + x3 + x4 + x5 ) )$sigma
[1] 4
> summary( lm( y ~ x1 + x3 + x5 ) )$sigma^2
[1] 17.6

a) Perform the significance of the regression test at a 5% level of significance. State the null hypothesis. Report the value of the test statistic, the critical value(s), and the decision. What is the p-value (approximately) of this test?

b) Test H? : ?? = ?? = 0 at a 5% level of significance. Report the value of the test statistic, the critical value(s), and the decision. What is the p-value (approximately) of this test?

3. Suppose a model
Y = ?? + ??x? + ??x? + ??x? + ??x? + ??x? + ?
was fit to n = 34 data points. The following results were obtained:

> summary( lm( y x1 + x2 + x3 + x4 + x5 ) )r.squared
[1] 0.40107
> summary( lm( y x1 + x2 + x3 + x4 + x5 ) )sigma
[1] 4
> summary( lm( y x1 + x3 + x5 ) )sigma^2
[1] 17.6

a) Perform the significance of the regression test at a 5% level of significance. State the null hypothesis. Report the value of the test statistic, the critical value(s), and the decision. What is the p-value (approximately) of this test?

b) Test H? : ?? = ?? = 0 at a 5% level of significance. Report the value of the test statistic, the critical value(s), and the decision. What is the p-value (approximately) of this test?

Added by Caitlin A.

Question

Please give Ace some feedback