How do you find a linear model?

1 Answer
Jul 4, 2015

For experimental data it may be appropriate to use linear regression.

On the other hand, for precise data you do not need linear regression.


If you have a number of experimentally generated data points that are subject to inaccuracies then you can use something like linear regression to generate a linear model that fits the data reasonably well. Many modern calculators have a linear regression capability.

On the other hand, if you are given precise data, you should be able to generate a model that fits the data exactly. For example, given points #(x_1, y_1)# and #(x_2, y_2)# which are supposed to lie on a line, the equation of the line in point-slope form is:

#y - y_1 = m(x - x_1)# where #m = (y_2 - y_1) / (x_2 - x_1)#

from which we can derive the slope-intercept form:

#y = mx + c# where #c = y_1 - mx_1#