Plot and Interpret the Appropriate Scatter Diagram Which Scatter Diagram Describes the Data and the Relationship, If

question 277

Multiple Choice

Plot and interpret the appropriate scatter diagram.
-The table gives the times spent watching TV and the grades of several students. $$\begin{array} { l | c c c c c c } \text { Weekly TV } ( \mathrm { h } ) & 6 & 12 & 18 & 24 & 30 & 36 \\\hline \text { Grade (\%) } & 92.5 & 87.5 & 72.5 & 77.5 & 62.5 & 57.5\end{array}$$ Which scatter diagram describes the data and the relationship, if any?

• A) More hours spent watching TV may reduce grades.
• B) More hours spent watching TV may increase grades.
• C) More hours spent watching TV may reduce grades.
• D) none of these

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Definitions:

Lagrange Multipliers

A mathematical method used to find the maximum or minimum of a function subject to constraints.

Optimal Value

The most favorable or advantageous value that can be achieved under given constraints, often used in optimization problems.

Dual Production Problem

A situation in operational research where two or more products are produced using limited resources, and the optimal allocation of these resources needs to be determined.

Production Function

A mathematical model that describes the relationship between inputs used in production and the output produced from those inputs.