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Online Multiple Linear Regression

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This page allows you to work out multiple linear regressions, also known as multilinear regressions or multiple linear least squares fittings. For the relation between several variables, it finds the linear function that properly fits a given set of data points. The result is not necessarily the best possible, but usually it is a very good one and further improvement posibilities are very small. In the case that the number of variables is equal to the number of data points an hyperplane containing all the points results.

Copy & Paste: You can copy and paste data directly from a spreadsheet or a tabulated data file in the box below. Any character that cannot be part of a number -space, comma, tabulation...- is considered a column separator. By default commas are considered column separators; in the case you are using them as decimal separators check the option below. The exponent can be indicated by preceding it by the character E or e, as you can see in the example. Remember data must consist of n+1 columns, x1...xn and y, to get the multiple linear regression y=a1x1+a2x2+...+an-1xn-1+anxn+b.

 Example: 1.794638 15.15426 5.10998918E-1 3.220726 229.6516 105.6583692 5.780040 3.480201e+3 1.77699E3 Allow comma as decimal separator

Insert manually & See details: If you prefer you can insert all the points manually, for which you first have to specify the number of data points. You also can see details of the calculation -as the calculated value of y and the error at each point- in this area.

Enter the number of data points: