Find the correlation coefficient and report it accurate to three decimal places.

Here is a bivariate data set.

x	y
77.2	35
84	32.8
68.1	34.9
81	27.8
91.3	25.6
79.9	30.1
80.9	30
90.3	27.1
69.3	29.3
73.3	34.3
86	31

Find the correlation coefficient and report it accurate to three decimal places.
r =

Expert Solution

Solution:

X	Y	XY	X^2	Y^2
77.2	35	2702	5959.84	1225
84	32.8	2755.2	7056	1075.84
68.1	34.9	2376.69	4637.61	1218.01
81	27.8	2251.8	6561	772.84
91.3	25.6	2337.28	8335.69	655.36
79.9	30.1	2404.99	6384.01	906.01
80.9	30	2427	6544.81	900
90.3	27.1	2447.13	8154.09	734.41
69.3	29.3	2030.49	4802.49	858.49
73.3	34.3	2514.19	5372.89	1176.49
86	31	2666	7396	961

n	11
sum(XY)	26912.77
sum(X)	881.30
sum(Y)	337.90
sum(X^2)	71204.43
sum(Y^2)	10483.45
Numerator	-1750.80
Denominator	2736.31
r	-0.6398
r square	0.4094

Xbar(mean)	80.1182
Ybar(mean)	30.7182
SD(X)	6.9973
SD(Y)	3.5274

b	-0.2669
a	52.1041

r = -0.640

orchestra answered 3 years ago

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