A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information:

Complete parts (a) through (c), given ˆ‘x = 60, ˆ‘y = 359, ˆ‘x2 = 442, ˆ‘y2 = 13,013, and ˆ‘xy = 2231.
(a) Draw a scatter diagram for the data.

(c) Find the sample correlation coefficient r and the coefficient of determination r2. What percentage of variation in y is explained by the least-squares model?
(d) If someone had x = 2 job changes, what does the least-squares line predict for y, the annual salary?

Transcribed Image Text:

x (Number of job changes y (Salary in $1,000) 4 75 6 5 9 10 10 3 33 37 34 32 32 38 43 37 40 33