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:

Whistle-blowers

Individuals who expose unethical, illegal, or unacceptable behavior within an organization, often at personal risk.

Retaliation

An act of returning an injury or wrong.

Goal Challenge

A concept referring to the setting of objectives that are challenging yet attainable, aimed at motivating individuals or teams towards higher performance.

Unethical Behaviour

Actions or practices that violate moral or professional codes of conduct.