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:

Distorted Perception

An inaccurate view or interpretation of something, often due to psychological factors affecting the perception of reality.

Antisocial Personality Disorder

A mental disorder characterized by a long-term pattern of disregard for, or violation of, the rights of others.

Agreeableness

A personality trait in the Big Five model characterized by qualities of kindness, cooperation, and warmth.

Conscientiousness

A personality trait characterized by being organized, dependable, and disciplined.