Consider the Following Data Values of Variables X and Y

question 79

Essay

Consider the following data values of variables x and y. $$\begin{array} { | l | l c c c c c | } \hline \boldsymbol { x } & 2 & 4 & 6 & 8 & 10 & 13 \\\hline \boldsymbol { y } & 7 & 11 & 17 & 21 & 27 & 36 \\\hline\end{array}$$
a.Calculate the coefficient of determination, and describe what this statistic tells you about the relationship between the two variables.
b.Calculate the Pearson coefficient of correlation. What sign does it have? Why?
c.What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

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Definitions:

Four-drive Theory

A model that identifies four basic motivational drives—the drive to acquire, bond, comprehend, and defend—that influence human behavior.

Hierarchy Of Needs

A motivational theory in psychology proposed by Abraham Maslow, which is often depicted as a pyramid with five levels of basic human needs, from physiological to self-actualization.

Learned Needs Theory

A psychological perspective that suggests that needs are acquired or learned over time based on individuals' life experiences.

Personalized Power

refers to power that is used for personal gain or benefit, often without regard for others or ethical considerations.