5. [-l1 Points] DETAILS BBBASICSTATB 4.R.O1D.S. MY NOTES ASK YOUR TEACHER ;ocio|ogist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for ople living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. l USE SALT Ex = 5?,- 2y = 357; 2x2 = 413; ZyZ = 12,875; Xxy = 2,114 (a) Find )2 F, b, and the equation of the least-squares line. [Round your answers for E and 17 to two decimal places. Round your leastsquares estimates to three decimal places.) a U' 'l XI H m LI 1 .4; + [ ,- x (b) Draw a scatter diagram for the data. Plot the leastvsquares line on your scatter diagram. y y 50 50 45 45 40 35 35 30 30 25 25 20 20 O 0 O y y 50 so 45 45 40 35 35 30 30 25 25 20 20 O D 2 4 G B 10 O D 2 4 6 8 10 (c) Find the sample correlation coefficient r and the coefcient of determination. (Round your answers to three decimal places.) [*1 What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) r 1% e (d) If someone had x = 8 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) | thousand dollars