LeastSquares Line
Pronunciation: /list skwɛɚz laɪn/ Explain
A leastsquare line is a line that minimizes the
distance between the data points it
represents
and the line itself. Manipulative 1 is an example of a least squares
line fitted to data.

Click on the blue points and drag them to change the figure.
Move the points to create a nearvertical line. Move the points to create a nearhorizontal line.
 Manipulative 1  Least Squares Line Created with GeoGebra. 

How to Calculate a Least Squares Line
In the equations, N is the number of points. x
is the xcoordinate of a point. y is the ycoordinate of
a point. All calculated amounts are approximate.
Legend  x  y  x^{2}  xy 
A  0.3  1.8  0.09  0.54 
B  0.8  2.2  0.64  1.76 
C  1.9  2.6  3.61  4.94 
D  2.2  2.1  4.84  4.62 
E  3.3  2.9  10.89  9.57 
F  3.9  2.5  15.21  9.75 
Sum  12.4  14.1  35.28  31.18 
Cite this article as:
McAdams, David E. LeastSquares Line. 8/31/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/l/leastsquareline.html.
Image Credits
Revision History
8/31/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
7/18/2018: Changed title to common format. (
McAdams, David E.)
7/12/2007: Initial version. (
McAdams, David E.)