A sociologist is interested in the relation between x numbe

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.

In this setting we have x = 59, y = 357, x² = 427, y² = 12,875, and xy = 2180.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)

(b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y).

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.

In this setting we have x = 59, y = 357, x² = 427, y² = 12,875, and xy = 2180.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)

(b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y).

x (number of job changes)	5	5	5	6	1	5	9	10	10	3
y (Salary in $1000)	34	36	32	32	32	38	43	37	40	33

Solution

x (number of job changes) 5 5 5 6 1 5 9 10 10 3 59 y (Salary in $1000) 34 36 32 32 32 38 43 37 40 33 357 Mean x 5.9 Mean y 35.7 b 0.934 a 30.189