# Regression Analysis in 1 minute

Regression analysis is a technique of measuring or estimating the relationship among variables.

Regression analysis provides Estimates of values of the **Dependent Variable **From the value of the independent variable.

The Regression line describes the average relationship existing between **x** and **y**.

The Difference between Correlation analysis and Regression Analysis

**Correlation coefficient**is a**measure of degree of****Co-variability**between**x**and**y**While**Objective of Regression analysis**is to study the**Nature of Relationship**.- In
**Correlation analysis**both**rₓᵧ or rᵧₓ are symmetric (rₓᵧ=rᵧₓ)**. In**Regression analysis bₓᵧ and bᵧₓ**are**not symmetrical (bₓᵧ =/= bᵧₓ)**. - In
**Correlation analysis**we cannot say that**one variable is “cause”**and**the other the “Effect”**but in**Regression analysis**it is possible to study**cause and effect relationship**. - There may be a
**non-sensical correlation**which has**no practical relevance**in Correlation analysis*Example Increase in income and Increase in Weight.*There is no such things like these on Regression Analysis. **Correlation coefficient**is**independent of change in origin and scale**.**Regression coefficient**are**independent of change of origin**but**not of scale.**

Similarities

Correlation coefficient (r) and Regression coefficient are (bₓᵧ and bᵧₓ) always have same sign.