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.

x (number of job changes)	6	5	4	6	1	5	9	10	10	3
y (Salary in $1000)	37	34	35	32	32	38	43	37	40	33

In this setting we have Σx = 59, Σy = 361, Σx² = 429, Σy² = 13,149, and Σxy = 2202.

Test the claim that the slope β of the population least-squares line is positive at the 5% level of significance. (Round your test statistic to three decimal places.)

t =

Answer 1

The statistical software output for this problem is:

From above output:

t = 3.125