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Use the Following to Answer Questions 5 - 8 -Using the Estimated Regression Equation,
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question 10

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Use the following to answer questions 5 - 8.
To determine whether the cash bonus paid by a company is related to annual pay, data
were gathered for 10 account executives at Johnson Financial Group who received cash
bonuses in 2007. 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$137000$55000$94469$34368 Mean $85318$17927 Standard Deviation $28077$15618 Correlation 0.735\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 & \$ 137000 & \$ 55000 \\\hline & \$ 94469 & \$ 34368 \\\hline & & \\\hline \text { Mean } & \$ 85318 & \$ 17927 \\\hline \text { Standard Deviation } & \$ 28077 & \$ 15618 \\\hline & & \\\hline \text { Correlation } & 0.735 & \\\hline\end{array}
-Using the estimated regression equation,
a. Estimate the cash bonus for an executive at Johnson Financial earning $82, 613 a year. b. What is the residual for this estimate?
What does it mean?

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Definitions:

Voluntary Deductions

Optional financial contributions that an employee elects to have withheld from their paycheck, such as for retirement plans or charitable donations.

Eligibility For Employment

The criteria or conditions that determine whether an individual is qualified or permitted to be hired for a given job.

Commission

A form of payment to an employee based on the amount of sales they generate.

Percentage

A mathematical term describing a number or ratio as a fraction of 100, used in various contexts to express proportions or comparisons.

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