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To Determine Whether the Cash Bonus Paid by a Company

question 12

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To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 loan officers at AMC Bank who received cash bonuses in 2012. The data, scatterplot, and summary statistics are shown below.  ANNUAL PAY  CASH BONUS $70609$11225$58487$6238$104561$14194$43922$4188$82613$11863$116250$13671$76751$7758$68513$20760 Mean $137000$55000 Standard Deviation $94469$34368$17927 Correlation $85318$15618\begin{array} { | l | l | l | } \hline & \text { ANNUAL PAY } & \text { CASH BONUS } \\\hline & \$ 70609 & \$ 11225 \\\hline & \$ 58487 & \$ 6238 \\\hline & \$ 104561 & \$ 14194 \\\hline & \$ 43922 & \$ 4188 \\\hline & \$ 82613 & \$ 11863 \\\hline & \$ 116250 & \$ 13671 \\\hline & \$ 76751 & \$ 7758 \\\hline & \$ 68513 & \$ 20760 \\\hline \text { Mean } & \$ 137000 & \$ 55000 \\\hline \text { Standard Deviation } & \$ 94469 & \$ 34368 \\\hline & & \$ 17927 \\\hline \text { Correlation } & \$ 85318 & \$ 15618 \\\hline\end{array}  To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 loan officers at AMC Bank who received cash bonuses in 2012. The data, scatterplot, and summary statistics are shown below.  \begin{array} { | l | l | l | }  \hline & \text { ANNUAL PAY } & \text { CASH BONUS } \\ \hline & \$ 70609 & \$ 11225 \\ \hline & \$ 58487 & \$ 6238 \\ \hline & \$ 104561 & \$ 14194 \\ \hline & \$ 43922 & \$ 4188 \\ \hline & \$ 82613 & \$ 11863 \\ \hline & \$ 116250 & \$ 13671 \\ \hline & \$ 76751 & \$ 7758 \\ \hline & \$ 68513 & \$ 20760 \\ \hline \text { Mean } & \$ 137000 & \$ 55000 \\ \hline \text { Standard Deviation } & \$ 94469 & \$ 34368 \\ \hline & & \$ 17927 \\ \hline \text { Correlation } & \$ 85318 & \$ 15618 \\ \hline \end{array}    Model a linear relationship with a least squares regression model. -Comment on whether each of the following conditions for correlation / linear regression is met. A. Quantitative variable condition. b. Linearity condition. c. Outlier condition. Model a linear relationship with a least squares regression model.
-Comment on whether each of the following conditions for correlation / linear
regression is met.
A. Quantitative variable condition.
b. Linearity condition.
c. Outlier condition.


Definitions:

Empathy

The ability to understand and share the feelings of another, fostering emotional connection and support.

Dysfunctional

Pertains to something that is not operating normally or effectively, often causing negative effects.

Referral

The process of directing someone to another professional or agency for additional services or support.

Frustrated

A feeling of discontent or annoyance arising from being blocked in achieving a goal or fulfilling a desire.

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