Finding the best-fit line

Natural gas consumption of a household
 OctNovDecJanFebMarAprMayJune
Degree-days per day15.626.837.836.435.518.615.37.90.0
Gas consumed per day (100 cubic feet)5.26.18.78.58.84.94.52.51.1

Natural gas consumption
(a) A scatter plot of the data      (b) A linear-regression line

Computing the best-fit line
 

How useful is the best-fit line?


Some data sets are more linear than others. Correlation measures this relationship.
(See p. 35 of your textbook for the formula.)
Correlation

What if the data is nonlinear?

Data can fit to other types of equations.
Nonlinear data             
Images from For All Practical Purposes, 5th Edition by COMAP