A survey of ten phone sales agents from the Baltimore area were asked how many cell phones did they sell in the month of February and what was the total commission on those sales.The data is listed in the table below.Use this data to answer the following questions.(A graphing calculator or Excel may be used to solve this problem)

Plans sold (X) Commissions($) (Y)

14 245

16 312

17 279

18 308

11 199

15 219

23 504

24 550

14 260

17 255

(Round all values to two decimal places.)(3 pts each)

a.Find the equation of the least squares regression line (line of best fit).Note: Use the number of phones sold in the month of February as the independent variable, x, and the commission on those sales as the dependent variable, y.(No work required.)

b.State the value of the correlation coefficientrand comment on the goodness of fit.

c.State the slope of the regression line.Interpret the slope of the best fit line in the context of the problem.

d. Use the regression line to predict the commission a phone sales agent would make if she/he sold 30 phones.(Show work)