Least square regression model scatter diagram

Reference no: EM1322300

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 (Number of job changes)	4	7	5	6	1	5	9	10	10	3
y (Salary in $1000)	33	37	34	32	32	38	43	37	40	33

(a) Draw a scatter diagram displaying the data.

(b) Find the equation of least -squares line and plot the line on the scatter diagram of part (a)

(c) Find the correlation coefficient r. Find the coefficient of determination r². What percentage of variation in y is explained by the variation in x and the least-squares model?

Σx = 60; Σy = 359; Σx² = 442; Σy² = 13,013; and Σxy = 2231

(d) If someone had x = 2 job changes, what does the least-squares line predict for y, the annual salary?

Reference no: EM1322300

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