Question

10.    In 2017, New Jersey City University sought to analyze the salaries of their graduates upon graduation.  They sought to assess the relationship between starting monthly salaries are the GPA (Grade Point Average).  Following are the starting salary and the corresponding GPA for eight of its graduates:

Starting Salary         GPA                        Starting Salary     GPA

2,400                          3.3                           2,600                  3.5

2,200                          2.5                            2,500                 2.6

2,900                          4.0                            2,900                 3.4

3,000                          3.7                            2,600                 3.2

Determine the sample correlation between the starting salary and the GPA of NJCU graduates.

Answer 1

x : Starting Salary of  graduates

y : GPA of graduates

	x	y	x2	y2	xy
	2400	3.3	5760000	10.89	7920
	2200	2.5	4840000	6.25	5500
	2900	4	8410000	16	11600
	3000	3.7	9000000	13.69	11100
	2600	3.5	6760000	12.25	9100
	2500	2.6	6250000	6.76	6500
	2900	3.4	8410000	11.56	9860
	2600	3.2	6760000	10.24	8320
Total	21100	26.2	56190000	87.64	69900