# Is there a more intuitive term for a "Linear model"?

A model is linear if it is linear in the parameters. Therefore, a linear model can describe a curve, if a function (such as raising to a power, but not necessarily) is performed on one of the variables.

The name "linear model" is very unintuitive; intuitively the term conjures a line, not a curve.

1. Is there a term that would fit the definition of a linear model, but be more intuitive to understand?

2. Is there a way to make the term "Linear model" more intuitive to myself? ( This part of the question is a one on studying skills).

• "linearly parameterized models"? Sep 14 '20 at 13:07
• What does "intuitive" mean any way? I translate it as "familiar to me and should be easy for you too". It is sometimes advertising, as in "this software has an intuitive interface" (so, the more you use it, the easier it gets), and sometimes an implied put-down if you don't work on the same level as the writer ("the result is intuitive given Fubini's theorem" or the Cauchy-Schwarz inequality, or whatever). It's a subtlety that has to be learned that "linear in parameters" is deeper and wider than "linear in variables" and thinking up different language for that won't make it easier. Sep 14 '20 at 13:32
• If you are familiary with linear algebra, then 'linear model' is very intuitive :) A way to make the term 'linear model' more intuitive to you could be Bapat, Linear Algebra and Linear Models, Springer, 2012. Sep 14 '20 at 14:01
• I don't have another / better term. For your own understanding, here are two threads that may help: Why is polynomial regression considered a special case of multiple linear regression?; & How to tell the difference between linear and non-linear regression models? Sep 14 '20 at 14:30
• I don't see a problem with the term linear model. It's as intuitive as anything else. As Underminer noted, regression is a possible substitute with the obvious caveat that its use would be limited to a nontechnical audience. Anyone with even a moderate degree of statistical sophistication would demand more specificity. That said, my suggestion is to use the words classic regression. This phrase can be tracked back to how OLS or linear regression is taught in Stats 101 and, therefore, should be recognizable to all.
– user234562
Sep 15 '20 at 11:11