Question

Find the correlation for the following dataset:

x 10 8 13 9 11 14 6 4 12 7 5

y 7.46 6.77 12.74 7.11 7.81 8.84 6.08 5.39 8.15 6.42 5.73  

	I.	0.856
	II.	0.502
	III.	0.816
	IV.	0.742

Answer 1

Solution:

X	Y	XY	X^2	Y^2
10	7.46	74.6	100	55.6516
8	6.77	54.16	64	45.8329
13	12.74	165.62	169	162.3076
9	7.11	63.99	81	50.5521
11	7.81	85.91	121	60.9961
14	8.84	123.76	196	78.1456
6	6.08	36.48	36	36.9664
4	5.39	21.56	16	29.0521
12	8.15	97.8	144	66.4225
7	6.42	44.94	49	41.2164
5	5.73	28.65	25	32.8329

n	11
sum(XY)	797.47
sum(X)	99.00
sum(Y)	82.50
sum(X^2)	1001.00
sum(Y^2)	659.98
Numerator	604.67
Denominator	740.76
r	0.8163
r square	0.6663
Xbar(mean)	9.0000
Ybar(mean)	7.5000
SD(X)	2.1148
SD(Y)	2.0234
b	0.4997
a	3.0025

r = 0.816