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:

Output

The total quantity of goods or services produced by an individual, system, or entity within a specific period, often used as a measure of productivity or economic activity.

Oligopolistic Industry

A market structure characterized by few firms where each has significant control over pricing and competition.

Elastic Firm Demand

Describes a situation where the demand for a firm's products is highly sensitive to changes in price, indicating consumers are likely to change their purchasing behavior if the price changes.

Significant Barriers

Obstacles that significantly hinder entry into a market or industry, including legal restrictions, high start-up costs, and substantial economic and technological challenges.