Linear regression has many practical uses:
- If the goal is prediction, or forecasting, or error
reduction,[clarification needed] linear
regression can be used to fit a predictive model to an observed
data set of values of the response and explanatory variables. After
developing such a model, if additional values of the explanatory
variables are collected without an accompanying response value, the
fitted model can be used to make a prediction of the response
There is a lot of evidence against the linear hypothesis.Here is
some of it.
- The Atomic Bomb Casualty Commission composed of Japanese and
American scientists has kept track of Hiroshima and Nagasaki
survivors and estimated how much radiation each received. According
to the linear hypothesis, these survivors should have had more
cancer than has been observed.
- People living at high altitudes or at locations in India with
high natural thorium levels should have had more cancer than has
been observed.
- People in areas with high emissions of radon from granite and
other rocks should have more cancer than has been observed. The
EPA's estimate of the number of lung cancers caused by radon is
based on the linear hypothesis and is almost certainly a large
exaggeration. If so, the very expensive remedial measures proposed
are a waste of money that would better be spent on getting rid of
more serious threats to public health