The best replacement for linear regression is logistic regression.

The best alternatives to linear regression are rated as following:
★★★★★  logistic regression
★★★★★  correlation
★★★  anova
★★  multiple regression
★★  polynomial regression
★  moving averages
★  quadratic regression
★  t test
★  multiple linear regression
★  svm
★  trendline
★  nonlinear regression
★  chi square
★  least squares
★  linear interpolation
  non linear regression
  moving average
  time series
  holt's method
  correlation analysis
  simple linear regression
  exponential regression
  exponential smoothing
  least squares regression
  regression analysis
  neural network
  hypothesis testing
  t-test
  line of best fit
  binary logistic regression

Your alternative for linear regression is not listed? Suggest!
Speaking about linear regression, one probably shouldn't forget about graphing calculator.

Other search terms related to linear regression and their ratings are:
★★★★★ graphing calculator
You have in mind a companion for linear regression and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of linear regression in all years. Click on graph for more.
linear regression
logistic regression
correlation