q calculate corelation coefficient x ; 65 66 57 67 68 69 70 72 y ; 67 56 65 - Economics - Correlation

Question

q calculate corelation coefficient
x ; 65 66 57 67 68 69 70 72
y ; 67 56 65 68 72 72 69 71
from dis formula ;
r= ∑xy ∕ Nsd(x) sd(y)

Vanita Rana · Accepted Answer

X
Y
x=X-X¯
x2
y=Y-Y
y2
xy

65
67
-1 75
3 0625
-0 5
0 25
0 875

66
56
-0 75
0 5625
-11 5
132 25
8 625

57
65
-9 75
95 0625
-2 5
6 25
24 375

67
68
0 25
0 0625
0 5
0 25
0 125

68
72
1 25
1 5625
4 5
20 25
5 625

69
72
2 25
5 0625
4 5
20 25
10 125

70
69
3 25
10 5625
1 5
2 25
4 875

72
71
5 25
27 5625
3 5
12 25
18 375

∑X=534
∑Y=540

∑x2=143 5

∑xy=73

X¯ =∑XN=5348=66 75Y¯ =∑YN=5408=67
5r=∑xy∑x2×∑y2=73143 5×194=73166 85=0 43

q. calculate corelation coefficient x ; 65 66 57 67 68 69 70 72 y ; 67 56 65 68 72 72 69 71 from dis formula ; r= ∑xy ∕ Nsd(x) sd(y)