Which of the Following Statements Are True?
A) the Assumptions $\hat { \beta } _ { 1 }$

question 33

Multiple Choice

Which of the following statements are true?

• A) The assumptions of the simple linear regression model imply that the standardized variable Has a t distribution with n - 2 degrees of freedom.
• B) The estimated standard error of \(\hat { \beta } _ { 1 }\) ; namely , will tend to be small when there is little variability in the distribution of \(\hat { \beta } _ { 1 }\) And large otherwise.
• C) There is an estimated standard error for the statistic \(\hat { \beta } _ { 0 }\) From which a confidence interval for the intercept \(\beta _ { 0 }\) Of the population regression line can be calculated.
• D) The most commonly encountered pair of hypotheses about the slope \(\beta _ { 1 }\) Of the population regression line is \(H _ { 0 } : \beta _ { 1 } = 0 \text { versus } H _ { \pm } : \beta _ { 1 } \pm 0\)
• E) All of the above statements are true.

---

Definitions:

Marginal Revenue Product

The additional revenue generated by employing one additional unit of a factor of production, crucial for decision-making in business.

Output Rises

An increase in the quantity of goods or services produced within an economy, often indicating economic growth or expansion.

Wage Rate

The compensation paid to employees for their labor per time unit, often quantified on an hourly or annual basis.

Quantity of Labor Demanded

The total amount of hours worked that employers are willing to hire at a given wage rate.