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:

Propriate Striving

The effort to achieve goals that are consistent with one's self-image and essential aspects of the personality, as outlined by Gordon Allport.

Factor Analysis

A statistical method used to identify clusters of related variables, often applied in psychology to explore underlying factors in personality, intelligence, and other areas.

Statistical Analysis

The process of collecting, exploring, and interpreting data to discover underlying patterns, trends, and relationships, using mathematical theories and formulas.

Free Association

A psychoanalytic method where the patient vocalizes their immediate thoughts and feelings without any form of censorship to reveal underlying unconscious processes.