A random sample of 6 Stanford faculty members gave the following data for number of publications and salary. Faculty Number of Salary member Publications (in 000's) 16 20 16 25 20 22 HmOnWD 20 30 24 28 24 25 (i) Write the equation of the regression line. (ii) If we found another faculty member whose number of publications was 22, what would we guess his salary to be? (iii) If in a burst of excitement upon seeing these data, I quickly published 5 more papers, how much would you expect my salary to go up? (iv) How would you interpret the intercept of the regression line