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A sociologist in 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: ( You may have to re-write the graph below because I cannot get it to line up properly, I hope it does not confuse you, I actually re-typed it below, hopefully it will come out clearer:)

X # of Jobs| 4 7 5 6 1 5 9 10 10 3
Y $ in $1000| 33 37 34 32 32 38 43 37 40 33

Ex = 60; Ey = 359; Ex^2= 442; Ey^2= 13,013; Exy= 2231

A) draw a scatter diagram
B) find the equation of the least-squared line, and plot the line on the scatter diagram of part (a).
C) find the correlation coefficient of r. Find the coefficient determination of r^2. What percentage of variation in y in explained by the variation in x and the least-squares model?
D) if someone had x = 2 job changes, what does the least-squares line predict for y, the annual salary?

X ( # of jobs) Y ( salary in $1000)

4 33
7 37
5 34
6 32
1 32
5 38
9 43
10 37
10 40
3 33

Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached Excel file.

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