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

---

Definitions:

Food Intolerance

A digestive system response where an individual has difficulty digesting certain foods, leading to uncomfortable symptoms.

Anaphylaxis

A severe, potentially life-threatening allergic reaction that can occur rapidly after exposure to an allergen.

Lacto-Ovo-Vegetarians

Individuals who avoid meat, fish, and poultry but consume dairy products and eggs.

Dairy Products

Foods produced from the milk of mammals, such as cheese, yogurt, and butter, which are sources of nutrients like calcium, vitamin D, and protein.