You estimate a simple linear regression model using a sample of 25 observations

Question

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: H0: beta2 = 1, H1: beta2 >12. If you choose to reject the null hypothesis based on these results, what is the probability you have committed a Type I error?

a.)between .01 and .02 b.)between .02 and .05 c.)less than .005 d.) It is impossible to determine without knowing the true value of beta2

Explanation / Answer

What is the probability you have committed a Type I error?

a) Between .01 and .02

b) Between .02 and .05

c) Less than .005

d) It is impossible to determine without knowing the true value of ?2

Answer is the probability you have committed a Type I error is less than .005

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