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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.  Test A 485258444343405159 Test B 736773595856586474\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) C^=3.400.145 A+1.12 B\hat { C } = 3.40 - 0.145 \mathrm {~A} + 1.12 \mathrm {~B}
B) C^=1.60+2.02 A1.93 B\hat { C } = 1.60 + 2.02 \mathrm {~A} - 1.93 \mathrm {~B}
C) C^=8.16+1.12 A+3.49 B\hat { \mathrm { C } } = 8.16 + 1.12 \mathrm {~A} + 3.49 \mathrm {~B}
D) C^=3.40+1.12 A0.145 B\hat { C } = 3.40 + 1.12 \mathrm {~A} - 0.145 \mathrm {~B}

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