To Determine Whether the Cash Bonus Paid by a Company

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.
-Estimate the linear regression model that relates the response variable (cash bonus) to the predictor variable (annual pay).
A. Find the slope of the regression line.
b. Find the intercept of the regression line.
c. Write the equation of the linear model.