Construct a Confidence Interval About the Slope of the Least $95 \%$

question 52

Multiple Choice

Construct a Confidence Interval about the Slope of the Least -squares Regression Model
-Construct a $95 \%$ confidence interval about the slope of the true least-squares regression line, for the data below, given that $\hat { y } = - 2.5 x$ .
$\begin{array}{c|c|c|c|c|}\mathrm{x} & -1 & -2 & -3 & -4 \\\hline \mathrm{y} & 2 & 6 & 7 & 10\end{array}$

• A) \(( - 4.165 , - 0.835 )\)
• B) \(( - 6.226,1.226 )\)
• C) \(( - 3.630 , - 1.370 )\)
• D) \(( - 3.731 , - 1.269 )\)

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Definitions:

Variables

Elements or characteristics within a study or research that can change and potentially impact the study's results.

Negative Correlation

A relationship between two variables whereby they move in opposite directions.

Direct Correlation

A relationship between two variables where an increase in one variable is associated with an increase in the other, or a decrease in one is associated with a decrease in the other.

Negative Correlation

An interdependence between two variables marked by the rise of one and the decline of the other.