Use the Given Data to Find the Equation of the Regression

question 137

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. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \text { Productivity (x) } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \\\hline \text { Dexterity (y) } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75 \\\hline\end{array}$$

• A) \(\hat { y } = 2.36 + 2.03 x\)
• B) \(\hat { y } = 5.05 + 1.91 x\)
• C) \(\hat { y } = 10.7 + 1.53 x\)
• D) \(\hat { y } = 75.3 - 0329 x\)

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Definitions:

Employee-centered Decision Making

An approach to management and problem-solving that involves considering and valuing the opinions, well-being, and participation of employees.

Urgency

A sense of importance requiring swift action.

Free-rein Followers

Individuals who prefer minimal supervision, requiring leaders to trust in their ability to work independently toward goals.

Task Forces

Special groups set up to achieve a specific goal, often characterized by their temporary nature and focused objective.