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

question 3

Multiple Choice

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: $\beta$ ₂ = 1,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 .01 and .02
• B)between .02 and .05
• C)less than .005
• D)It is impossible to determine without knowing the true value of \(\beta\)₂

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Definitions:

Homosexual Orientation

A sexual orientation characterized by a romantic or sexual attraction to individuals of the same gender.

Religious Beliefs

Personal or societal convictions related to the existence, nature, and worship of a deity or deities, and the values and practices associated with such convictions.

Vocational Identity

An individual's self-concept related to career choices and professional aspirations, shaped by personal interests and societal roles.

Marcia's Categories

A classification system developed by James Marcia that identifies four statuses of adolescent identity development: achievement, moratorium, foreclosure, and diffusion.