Explain and Write down what are the Similarities between Correlation and Regression.

## Similarities between Correlation and Regression

1. Both involve relationships between a pair of numerical variables.

2. Both: "predictability", "reduction in uncertainty"; "explanation".

3. Both involve straight line relationships [can get fancier too].

Distinguish, differentiate, compare and explain what is the difference between Correlation and Regression. Comparison and Differences.

## Difference between Correlation and Regression

1. Correlation is Symmetric whereas Regression is Directional.

2. In Correlation, it doesnt matter which is on Y, which on X-axis. We can choose n objects; measure (X, Y) on each. In Regression, it matters which is on Y, which on X-axis. (We have to first choose n objects on basis of their X values; measure their Y; or choose objects, (as with correlation); measure (X, Y). Regard X value as fixed. Can be extended to non-straight line relationships. Can relate Y to multiple X variables.

3. Correlation is dimensionless i.e. it has no units and range between – 1 to + 1. Regression is DY/DX units e.g., Kg/cm.

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Difference between Regression vs Differences - Similarities between Correlation

Differences - Similarities between Correlation vs Regression

Differences between Regression vs Differences - Similarities between Correlation