For a sample of 8 employees, a personnel director has collected the following data on ownership of company stock, y, versus years with the firm, x. X 6 12 14 6 9 13 15 9
Y 300 408 560 252 288 650 630 522

(a) Determine the least-squares regression line and interpret its slope

(b) For an employee who has been with the firm 10 years, what is the predicted number of shares owned?

(c) Is there a statistical significance between years of service and ownership of company stocks? (use α=0.05)