A sociologist is interested in the relation between x = number of job changes an
ID: 3438183 • Letter: A
Question
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).
Explanation / Answer
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
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