Regression Technique Comparison

Regression TypeBest ForAdvantagesDisadvantages
Linear RegressionSimple linear trendsEasy to interpret, computationally efficientAssumes a linear relationship, sensitive to outliers
Polynomial RegressionNon-linear patternsCaptures curvilinear trends, flexibleProne to overfitting, requires careful tuning of polynomial degree
Ridge RegressionMulticollinearity (correlated features)Reduces overfitting, stabilizes coefficientsDoesn’t perform feature selection
Lasso RegressionFeature selection (reducing unnecessary predictors)Performs feature selection by shrinking coefficients to zeroMay remove useful variables
ElasticNet RegressionHigh-dimensional data with correlated featuresBalances Ridge and Lasso, good for complex modelsRequires tuning of two hyperparameters (L1 and L2 regularization)
Logistic RegressionBinary classification (0/1)Easy to interpret, probabilistic outputAssumes linear decision boundary, may not work well with non-linear relationships
Multivariate RegressionPredicting multiple dependent variablesHandles multiple outcomes, useful for interdependent factorsComplex interpretation, requires more data
Support Vector Regression (SVR)Complex, non-linear relationshipsHandles non-linearity, robust to outliersComputationally expensive, requires careful kernel selection
Decision Tree RegressionSimple, rule-based predictionsEasy to interpret, works well with mixed data typesProne to overfitting, sensitive to outliers
Random Forest RegressionHigh accuracy, generalizationHandles large datasets, reduces overfittingComputationally expensive, less interpretable