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NARRBEGIN: Experience and Salary
Longevity and Salary
a Sample of Eight

question 135

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NARRBEGIN: Experience and Salary
Longevity and Salary
A sample of eight observations of variables x (years of experience) and y (salary in $1,000s) is shown below:
x53792468y2023151127211714\begin{array} { | c | c c c c c c c c | } \hline \boldsymbol { x } & 5 & 3 & 7 & 9 & 2 & 4 & 6 & \mathbf { 8 } \\\hline y & 20 & 23 & 15 & 11 & 27 & 21 & 17 & 14 \\\hline\end{array} NARREND
-Consider the following data:
x96758y1914161215\begin{array} { | c | c c c c c | } \hline \boldsymbol { x } & 9 & 6 & 7 & 5 & 8 \\\hline y & 19 & 14 & 16 & 12 & 15 \\\hline\end{array}
a.Calculate the covariance and the coefficient of correlation for the sample.
b.What do these statistics tell you about the relationship between x and y?

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Definitions:

Raymond Cattell

A British and American psychologist known for his psychometric research into intrapersonal psychological structure and the influential 16 personality factors model.

Value Judgment

An assessment that reflects personal or societal opinions, values, or priorities, often related to ethics, aesthetics, or propriety.

Moral Behavior

Actions that are conducted according to an individual's principles of right and wrong, often guided by the societal, cultural, or personal values.

Conditional Esteem

The situation where an individual's sense of self-worth depends on meeting certain conditions or standards set by themselves or others.

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