Regression Model with Transformations

dataset

lead

AIDS

lichens

birth weight

crickets

kittiwakes

CPK enzyme

Mazda price

population of USA

transformation

None

log

square root

square

reciprocal

Box–Cox λ

Tukey λ

λ for Box–Cox or Tukey

1

This Demonstration shows the simple linear regression model for various datasets. You can transform the response variable (i.e. the dependent variable), and display the least-squares fit, the coefficient of determination

2

R

, and estimates of the marginal variance of

y

, as well as the conditional variance assumed to be common across all values of

x

. Box–Cox and Tukey power transformations are available; you can vary the power parameter

λ

and display a plot of the effect of various values of

λ

on

2

R

. When the transformation used is either Box–Cox or Tukey's transformation, a plot of

2

R

versus the parameter

λ

is shown.