In-Depth Look: The World of Unit Change In The Independent Variable
Linear Regression
The b s represent coefficients that measure how much the dependent variable changes for each unit of change in the independent variable , and are often refered to as the slopes.
Unit Change In The Independent Variable
Furthermore, visual representations like the one above help us fully grasp the concept of Unit Change In The Independent Variable.
The slope of the simple linear regression equation represents the average change in the value of the dependent variable per unit change in the independent variable (X).
Unit Change In The Independent Variable
When both variables (dependent and independent ) are log-transformed, we interpret the regression coefficient approximately as an elasticity: a 1% change in X implies a β₁% change in Y. Careful Exploratory Data Analysis (EDA) should be made before and after the transformation to make the right decision.