The best replacement for regression is anova.

The best alternatives to regression are rated as following:

★★★★★	anova
★★★★	correlation
★★	classification
★★	logistic regression
★★	multiple regression
★	sem
★	repression
★	linear regression
★	t test
★	interpolation
★	time series
★	correlation analysis
★	progression
★	residual
★	chi square
★	factor analysis
★	transgression
★	growth spurt
★	correlation coefficient
	teething
	retrogression
	ancova
	discriminant analysis
	exponential smoothing
	remission
	retesting
	machine learning
	functional testing
	multivariate regression
	trend line
	survival analysis
	kaplan meier
	forecasting
	structural equation modeling
	moving averages
	neural networks
	moving average
	structural equation modelling
	simple regression
	multivariate analysis
	neural network
	high low method

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Speaking about regression, one probably shouldn't forget about dummy variables.

Other search terms related to regression and their ratings are:

★★★★★	dummy variables
★★★	intercept
★★	spss
★	correlation
★	categorical and continuous variables
★	dummy variables in r
	graphing calculator
	dummy variables in stata

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regression

anova

correlation