Use the Given Data to Find the Equation of the Regression

question 15

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

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

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Definitions:

Cost of Capital

The cost of funds used for financing a business, typically considered as the weighted average of the costs of equity and debt financing.

Tax Rate

The amount of tax a person or company must pay, expressed as a percentage of income.

Optimal Level

The most efficient, effective, or desirable point or degree for a specific outcome or condition.