Statistics Solutions

(Solution Library) Sociology-job Changes A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars)

Question: Sociology-job Changes 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:

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

\(\Sigma x=60 ; \Sigma y=359 ; \Sigma x^{2}=442 ; \Sigma y^{2}=13,013 ; \Sigma x y=2231\)

  1. Draw a scatter diagram.
  2. Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a).
  3. Find the correlation coefficient \(r\). Find the coefficient of determination \(r^{2}\). What percentage of variation in \(y\) is explained by the variation in \(x\) and the least squares model?
  4. If someone had \(x=2\) job changes, what does the least-squares line predict for \(y\), the annual salary?

Price: $2.99
Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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