Use the Given Data to Find the Equation of the Regression

question 31

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

• 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:

Industry

Industry refers to the dedication and effort in completing tasks and mastering skills, often related to the stage of development focused on competence and productivity.

Longitudinal Studies

Longitudinal studies involve repeated observations of the same variables over a period of time, allowing researchers to study changes and developments.

Sample Biases

Distortions in a sample that arise from the method of collection, leading to results that are not representative of the population being studied.

Cohort Differences

Variations or changes that are observed between different demographic groups, often studied across different time periods.