You Estimate a Simple Linear Regression Model Using a Sample $\beta$

question 5

Multiple Choice

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: H₀: $\beta$ ₂ = 12,H1: $\beta$ 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?

• 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 \(\beta\)₂

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Definitions:

Christian Liberty

A theological and philosophical concept within Christianity that emphasizes freedom from sin and spiritual bondage, often interpreted as living under the grace of God rather than the strictures of law.

Religious Toleration

The acceptance of diverse religious beliefs and practices within a society, allowing individuals to follow their own faith without persecution.

Servitude

A condition in which an individual lacks liberty and is forced to work for another person, often without pay.

Magnetic Domains

A section within a magnetic material where atoms are aligned to produce a north or south polarity.