Find the Indicated Multiple Regression Equation In Addition to These Results, a Third Test Was Designed

question 27

Multiple Choice

Find the indicated multiple regression equation.
-Below are the results of two separate tests designed to measure a student's ability to solve problems. $$\begin{array} { | l | c c c c c c c c c | } \hline \text { Test A } & 48 & 52 & 58 & 44 & 43 & 43 & 40 & 51 & 59 \\\hline \text { Test B } & 73 & 67 & 73 & 59 & 58 & 56 & 58 & 64 & 74 \\\hline\end{array}$$ In addition to these results, a third test was designed to measure the same problem-solving ability, and the following results correspond to the same students.
Test C: 48 41 59 45 42 44 40 58 60
Find the multiple regression equation that expresses results from Test C in terms of Test A and Test B.

• A) \(\hat { C } = 3.40 - 0.145 \mathrm {~A} + 1.12 \mathrm {~B}\)
• B) \(\hat { C } = 1.60 + 2.02 \mathrm {~A} - 1.93 \mathrm {~B}\)
• C) \(\hat { \mathrm { C } } = 8.16 + 1.12 \mathrm {~A} + 3.49 \mathrm {~B}\)
• D) \(\hat { C } = 3.40 + 1.12 \mathrm {~A} - 0.145 \mathrm {~B}\)

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Definitions:

Actual Cause

Also known as "cause in fact," it refers to a direct action that resulted in harm or damage, forming a necessary link between the injury and the defendant's actions.

Unforeseeable Intervening

Events or circumstances that occur after the defendant's act that could not have been predicted and which change the outcome of that act.

Negligence

A failure to exercise the care that a reasonably prudent person would exercise in similar circumstances, often leading to harm or damage.

Tire Failure

The breakdown or malfunction of tire components, leading to loss of air pressure, blowouts, or tread separation, potentially causing vehicular accidents.