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Line of Best Fit Formula

A line of best fit is a straight line that is the best approximation of the given set of data. In simple term, it is a graphical representation

A more accurate way of finding the line of best fit is the least square method. If you draw a line of best fit, it is possible to determine the equation of the line of best fit. You will remember that the equation of a straight line is given by

\[\large y=mx+c\]

Where,
m is the gradient
c is the intercept

Line of Best FitSolved Example

Example: The points with coordinates (0, 6), (2, 7), (4, 8) and (6, 9) lie on a straight line. Draw the line and determine its equation.

Solution

The following graph shows a scatter plot and a line of best fit:

line graph
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