Use the Given Data to Find the Equation of the Regression

question 174

Multiple Choice

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
- $\begin{array}{|l|lllll}\mathrm{x} & 0 & 3 & 4 & 5 & 12 \\\hline \mathrm{y} & 8 & 2 & 6 & 9 & 12\end{array}$

• A) \(\hat { y } = 4.88 + 0.625 \mathrm { x }\)
• B) \(\hat { y } = 4.88 + 0.525 x\)
• C) \(\hat { y } = 4.98 + 0.425 x\)
• D) \(\hat { y } = 4.98 + 0.725 x\)

Understand the roles of taxes and government spending in fiscal policy.

Recognize the impact of automatic stabilizers on the economy.

Grasp the concepts of budget deficits, surpluses, and their implications.

Understand the impact of fiscal policy on employment and economic gaps.

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Definitions:

Relationship Between Variables

The way in which two or more variables are associated or interact with each other.

Strength

In statistics, often refers to the magnitude of a relationship between two variables.

Direction

The course along which someone or something moves, or is aimed or pointed, often described as vectors in mathematical contexts.

Nonlinear

Not linear; indicating a relationship in which the change in outcome does not correspond to a constant change in the independent variable.