You estimate a simple linear regression model using a

4. You estimate a simple linear regression model using a sample of 62 observations and obtain the
following results (estimated standard errors in parentheses below coefficient estimates):
y = 97.25 + 33.74* x
(3.86) (9.42)
You want to test the following hypothesis: H
0
: β
2
= 12, H
1
: β
2
≠12. If you choose to reject the null
hypothesis based on these results, what is the probability you have committed a Type II error?
a.) between .05 and .10
b.) between .01 and .025
c.) between .02 and .05
d.) It is impossible to determine without knowing the true value of β
2
Ans: d
Section: 3.2
5. You estimate a simple linear regression model using a sample of 25 observations and obtain the
following results (estimated standard errors in parentheses below coefficient estimates):
y = 97.25 + 19.74 *x
(3.86) (3.42)
You want to test the following hypothesis: H
0
: β
2
= 1, H
1
: β
2
>12. If you choose to reject the null
hypothesis based on these results, what is the probability you have committed a Type I error?
6. Which of the following is not a component of a hypothesis tes?