Use the Given Data to Find the Best Predicted Value $\mathrm { r } = 0.942$

question 101

Multiple Choice

Use the given data to find the best predicted value of the response variable.
-Four pairs of data yield $\mathrm { r } = 0.942$ and the regression equation $\hat { y } = 3 x$ . Also, $\bar { y } = 12.75$ . What is the best predicted value of $y$ for $x = 5.8$ ?

• A) 0.942
• B) 2.826
• C) 12.75
• D) 17.4

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Definitions:

Equation

A mathematical statement that two expressions are equal, typically involving variables and constants.

Solve

The process of finding the value(s) of the variable(s) that satisfy an equation, inequality, or system of equations.

Synthetic Division

A simplified method of dividing polynomials, especially useful for dividing by linear factors.

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A mathematical operation that represents dividing one quantity by another to find out how many times the divisor fits into the dividend.