Question

Types of correlation and their specific application

Answer 1

The relationship between more than one variable is considered as correlation. Correlation is considered as a number which can be used to describe the relationship between two variables. Simple correlation is defined as a variation related amongst any two variables.

The multiple correlation and partial correlation are categorized as related variation among three or more variables. Two variables are correlated only when they vary in such a way that the higher and lower values of one variable corresponds to the higher and lower values of the other variable. We might also get to know if they are correlated when the higher value of one variable corresponds with the lower value of the other.
Correlation Symbol
Symbol of correlation = rr
Correlation Formula
The formula for correlation is as follows,

Correlation (r) = N∑XY−(∑X)(∑Y)[N∑X2−(∑X)2][N∑Y2−(∑Y)2]√N∑XY−(∑X)(∑Y)[N∑X2−(∑X)2][N∑Y2−(∑Y)2]

Where,

xx and yy are the variables.

bb = the slope of the regression line is also called as the regression coefficient

aa = intercept point of the regression line which is in the y-axis.

NN = Number of values or elements

XX = First Score

YY = Second Score

∑XY∑XY = Sum of the product of the first and Second Scores

∑X∑X = Sum of First Scores

∑Y∑Y = Sum of Second Scores

∑X2∑X2 = Sum of square first scores.

∑Y2∑Y2 = Sum of square second scores.