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:

Early Life Attachments

The emotional bonds formed by children with their caregivers, influencing personality development and behavior in later life.

Self-actualizing Potential

Refers to an individual's ability to achieve their fullest potential, emphasizing personal growth, self-discovery, and the realization of personal capabilities.

Psychodynamic Heritage

Refers to the theories and therapeutic techniques that are rooted in psychoanalytic principles, emphasizing unconscious processes and early life experiences in shaping personality.

Interpersonal Reconstructive Therapy

A form of psychotherapy that aims to understand and change long-standing patterns of behavior and emotion that are rooted in past relationships.