Question

Based on the data shown below, calculate the correlation coefficient (to three decimal places)

x	y
5	44.23
6	42.92
7	41.41
8	38.2
9	34.49
10	33.28
11	27.77
12	26.06
13	23.15
14	19.74
15	18.43
16	15.02
17	11.51
18	10.7

Answer 1

The table given below ,

	x	y	x^2	y^2	x*y
	5	44.23	25	1956.2929	221.15
	6	42.92	36	1842.1264	257.52
	7	41.41	49	1714.7881	289.87
	8	38.2	64	1459.24	305.6
	9	34.49	81	1189.5601	310.41
	10	33.28	100	1107.5584	332.8
	11	27.77	121	771.1729	305.47
	12	26.06	144	679.1236	312.72
	13	23.15	169	535.9225	300.95
	14	19.74	196	389.6676	276.36
	15	18.43	225	339.6649	276.45
	16	15.02	256	225.6004	240.32
	17	11.51	289	132.4801	195.67
	18	10.7	324	114.49	192.6
Total	161	386.91	2079	12457.6879	3817.89

From table ,

Therefore , the correlation coefficient is ,