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sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living

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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 ployed in Nashville provided the following information. X ( number of job changes) 4 3 6 6 1 5 9 10 10 3 y (Salary in $1000) 38 37 32 32 32 38 43 37 40 33 LA USE SALT Ex = 57; Zy = 362; Ex2 = 413; Zy2 = 13,236; Exy = 2,125 (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 three decimal places.) x = 5.7 y = 36.2 b = 0.19 X y = 35.09 + 0.19 X x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. 50 y 50 45 45 40 40 35 35 30 30 25 25 20 X 20 X O 0 2 4 6 8 10 O 0 2 4 6 8 10

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