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How is a linear relationship between two variables measured in statistics? Explain.

How is a linear relationship between two variables measured in statistics? Explain.

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Answer:

The linear relationship between two variable is measured using Coefficient of Correlation, r given as:

  

The correlation coefficient, r is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables which ranges from -1 to 1. The closer the value of r gets to 1 or -1, the stronger the relationship between the two variables.

  • If r is positive then there exists positive linear relationship between X and Y i.e. as X increases Y also increases and vice versa.
  • If r is negative then there exists negative linear relationship between X and Y i.e. as X increases Y decreases and vice versa.
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