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:

Dense Irregular Collagenous

A type of connective tissue with collagen fibers arranged in irregular patterns, providing strength and flexibility.

Tendons

Fibrous connective tissues that attach muscles to bones, helping to transfer forces and enable body movements.

Dermis

The dermis is the dense layer of living tissue beneath the epidermis, comprising the real skin and housing blood vessels, sweat glands, and hair follicles.

Brown Fat

A type of body fat that is activated when cold, burning calories to generate heat and help maintain body temperature.