Question

Listed below are numbers of Internet users per 100 people and numbers of Nobel Laureates per 10 million people for different countries. Calculate the correlation r and the coefficient of determination r² between the Internet Users per 100 people and the Nobel Laureates per 10 million people.

Internet Users	79.5	79.6	56.8	70.0	67.6	77.9	70.0	38.3
Nobel Laureates	5.5	9.0	3.3	71.0	1.7	10.8	71.0	0.1

Answer 1

x	y	xy	x²	y²
79.5	5.5	437.25	6320.25	30.25
79.6	9	716.4	6336.16	81
56.8	3.3	187.44	3226.24	10.89
70	71	4970	4900	5041
67.6	1.7	114.92	4569.76	2.89
77.9	11	841.32	6068.41	116.64
70	71	4970	4900	5041
38.3	0.1	3.83	1466.89	0.01
Σx=539.7	Σy=172.4	Σxy=12241.16	Σx²=37787.71	Σy²=10323.68