This document discusses calculating the correlation coefficient (r) between two subjects/variables using the product moment method. It provides the formula to calculate r from summary statistics including the number of observations (N), sums of the variables (ΣX, ΣY), sums of squares (ΣX2, ΣY2) and sum of the products (ΣX*Y). The document also includes an example calculation using a table with students' marks in two subjects, finding a low negative correlation (r=-0.32) between the subjects.

1. Corrrelation
(Product Moment Method)
By
Dr. Abhishek Srivastava

3. vad de djus dh fof/k
(Reduced Score Method)

5. Calculate ‘r’ from
Below Table
Students 1 2 3 4 5 6 7 8 9 10 11 12
Subject 1 45 48 35 32 36 30 38 39 46 48 40 42
Subject2 40 39 36 42 40 36 35 40 34 36 39 33

7. Consider Coefficient for Sub.1 and Sub.2 are 38 &35 Respectively

11. From Table -
lkfj.kh ls&
N=12,
∑X=23
∑Y=30
∑X2=447
∑Y2=164
∑X.Y=-3
12x(-3)-23x30 .
√[12x447-(23)2 ] [12x164-(30)2 ]
-36-690 .
√(5364-529)(1964-900)
-726 .
√4835x1064

12. -726 ,
√5163780
-726 ,
2272.40
r=-0.32
Low Negative
Correlation
fuEuudkjkRedlg&lEcU/k

13. • Q1. निमिनांनित सनरिणी िे निए सहसमबन्ध ‘r’ िी गणिन िीनिये.
Calculate correlation ‘r’ for the following table
Practice
Marks -1 45 43 36 34 38 49 34 41 39
Marks-2 35 36 28 30 45 34 32 39 45