The document describes calculating the correlation between the height and weight of 23 students. It explains that correlation describes the likelihood that a change in one variable (e.g. height) will cause a proportional change in the other (weight). It provides the formula used to calculate the correlation coefficient, which ranges from +1 (perfect positive correlation) to -1 (perfect negative correlation). The result of calculating the correlation coefficient between the heights and weights of the students is presented, but the value is not provided.

1. CALCULATION OF THE CORRELATION BETWEEN HEIGHT AND WEIGHT OF
THE STUDENTS
Aim:
To verify that the measurements of two characteristics, height and weight of the students
are correlated each other.
Principle:
The correlation between two variables describes the likelihood that a change in one
variable will cause a proportional change in the other variable. A high correlation between two
variables suggests they share a common cause or a change in one of the variables is directly
responsible for a change in the other variable.
Procedure:
Height and weight of 23 students are measured. The correlation co-efficient is calculated
by using the formula.
𝐷 =
 𝑑 ×  𝑑𝑦
√ 𝑑𝑥2 ×  𝑑𝑦2
Where,
dx = x – 𝑥̅deviation from 𝑥̅
dy = y – 𝑦̅ deviation from 𝑦̅
d x y = multiply the deviations of X and Y and get
the total
dx2 = the sum of square of the deviation of X
dy2 = the sum of square of the deviation of Y and
value can range from + 1 to -1.
Where,
“D” value is
+1.0 there is perfect positive correlation between the variables
0.0 there is no correlation between the variables
-1.0 there is perfect negative correlation between the variables

2. Correlation between height and weight of the students
S.No. Height Weight
Result:
Correlation – Co-efficient between height and weight of the student is =