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Correlation

The relationship between two variables such that the change in one variable results in a positive or negative change in the other variable and also a greater change in one variable results in corresponding greater or smaller change in the other variable is known as correlation.

Coefficient of correlation 

It is a measure of a tendency that is the degree to which two variables are interrelated is measured by coefficient which is called the coefficient of correlation. It is denoted by ‘r’. 

Types of correlation

  • Positive correlation 

When direct relationship between two variables. Example height and weight of an individual 

  • Negative correlation 

Inverse relationship between two variables. Example Price and Demand of a commodity.

  • Linear correlation 

When the plotted (x, y) are approximately on or near about a straight line. Example savings and earnings of a person.

  • Perfect correlation 

If the deviation in one variable is followed by a corresponding and proportional deviation then the correlation is said to be perfect correlation. 

Pearson Correlation Coefficient Formula:

where, n = Quantity of Information

Σx = Total of the First Variable Value

Σy = Total of the Second Variable Value

Σxy = Sum of the Product of & Second Value

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