Question
Calculate Karl Pearson’s correlation co-effcient.
|
Income (lakh Rs.) |
23 |
27 |
28 |
29 |
30 |
31 |
33 |
35 |
36 |
39 |
|
Expenditure (lakh Rs.) |
18 |
22 |
23 |
24 |
25 |
26 |
28 |
29 |
30 |
32 |
Solution
|
Income X |
dX (X – A) |
dX2 |
Expenditure Y |
dY (Y – A) |
dY2 |
dXdY |
|
23 |
–8 |
64 |
18 |
–7 |
49 |
56 |
|
27 |
–4 |
16 |
22 |
–3 |
9 |
12 |
|
28 |
–3 |
9 |
23 |
–2 |
4 |
6 |
|
29 |
–2 |
4 |
24 |
–1 |
1 |
2 |
|
30 |
–1 |
1 |
25 |
0 |
0 |
0 |
|
31 |
0 |
0 |
26 |
1 |
1 |
0 |
|
33 |
2 |
4 |
28 |
3 |
9 |
6 |
|
35 |
4 |
16 |
29 |
4 |
16 |
16 |
|
36 |
5 |
25 |
30 |
5 |
25 |
25 |
|
39 |
8 |
64 |
32 |
7 |
49 |
56 |
|
N = 10 AM = 31 |
ΣdX = 1 |
dX2 = 203 |
N = 10 A = 25 |
ΣdY = 7 |
ΣdY2 = 163 |
ΣdXdY = 179 |
