Use the Given Data to Find the Equation of the Regression

question 156

Multiple Choice

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.
$\begin{array}{cc|c|c|c|c|c|c|c|c|c}\text { Productivity } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \\ \text { Dexterity } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75\end{array}$

• A) \(\hat { y } = 2.36 + 2.03 \mathrm { x }\)
• B) \(\hat { y } = 75.3 - 0.329 \mathrm { x }\)
• C) \(\hat { y } = 5.05 + 1.91 \mathrm { x }\)
• D) \(\hat { y } = 10.7 + 1.53 \mathrm { x }\)

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Definitions:

Greenhouse Effect

The warming of Earth's surface and lower atmosphere caused by the presence of certain gases in the air which trap energy from the sun.

Earth

The third planet from the Sun, uniquely supporting a vast diversity of life forms due to its suitable environmental conditions.

Mountain Biomes

Ecosystems found in high elevation regions, characterized by diverse climates and biotic communities depending on altitude.

Human Impacts

The effects and consequences of human activities on the environment, including those that alter the Earth's natural processes.