Below Are the Results of Two Separate Tests Designed to Measure

question 116

Multiple Choice

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

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

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Definitions:

Uniformly Distributed

Uniformly distributed indicates that all outcomes in a data set or probability distribution have the same or nearly equal chance of occurring.

Standard Deviation

A tool to determine the degree of difference or dispersion within a batch of data.

Standard Normal

A type of normal distribution with a mean of 0 and a standard deviation of 1.

Random Variable

A numerical value variable resulting from random phenomena.