Instruction 12 $\text { Regression Statistics }$ -Referring to Instruction 12

question 93

Multiple Choice

Instruction 12.15
The following Microsoft Excel tables are obtained when 'Score received on an exam (measured in percentage points) ' (Y) is regressed on 'percentage attendance' (X) for 22 students in a Statistics for Business and Economics course.
$\text { Regression Statistics }$
$\begin{array}{|l|l|}\hline\text { MultipleR } & 0.142620229 \\\hline \text { R Square } & 0.02034053 \\\hline \begin{array}{l}\text { Adjusted R } \\\text { Square }\end{array} & -0.028642444 \\\hline \text { Standard Error } & 20.25979924 \\\hline \text { Observations } & 22\\\hline\end{array}$

$\begin{array}{|l|l|l|l|l|}\hline & \text { Coefficients } & \begin{array}{l}\text { Standard } \\\text { Error }\end{array} & t \text { Stat } & p \text {-value } \\\hline \text { Intercept } & 39.39027309 & 37.24347659 & 1.057642216 & 0.302826622 \\\hline \text { Attendance } & 0.340583573 & 0.52852452 & 0.644404489 & 0.526635689 \\\hline\end{array}$


-Referring to Instruction 12.15,which of the following statements is true?

• A) 14.2% of the total variability in percentage attendance can be explained by score received.
• B) 2% of the total variability in score received can be explained by percentage attendance.
• C) 2% of the total variability in percentage attendance can be explained by score received.
• D) 14.26% of the total variability in score received can be explained by percentage attendance.

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Definitions:

Marginal Product

The additional output that is generated by employing one more unit of a specific factor of production while holding other factors constant.

Labor

Employing human mental and physical work in generating services and manufacturing goods.

Workers

Individuals engaged in any form of economic activity or labor, typically for the purpose of earning wages or salary.

Marginal Products

The additional output resulting from a one-unit increase in the use of a variable input, holding all other inputs constant.