Construct a Confidence Interval About the Slope of the Least $99 \%$

question 73

Multiple Choice

Construct a Confidence Interval about the Slope of the Least -squares Regression Model
-Construct a $99 \%$ confidence interval about the slope of the true least-squares regression line, for the data below, given that $\hat { \mathrm { y } } = 2.097 \mathrm { x } - 0.552$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}x & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hline y & -10 & -8 & 9 & 1 & -2 & -6 & -1 & 3 & 6 & -8\end{array}$

• A) \(( 1.738,2.456 )\)
• B) \(( - 1.177,5.371 )\)
• C) \(( 1.787,2.407 )\)
• D) \(( 1.749,2.445 )\)

---

Definitions:

Accounting Profits

The net income for a company determined by subtracting total expenses from total revenues, according to generally accepted accounting principles (GAAP).

Short Run

A period of time during which at least one factor of production is fixed, usually considered in economic models and analyses.

Long Run

A period of time in economics sufficiently long to allow for all inputs to production, such as plant and equipment, to be varied (as opposed to just the amount of labor or raw materials).

Total Loss

A situation in insurance where the cost of repairing a damaged property exceeds the property's value, making it economically unfeasible to repair.