Using the properties of the arithmetic mean for least squares interpolation
|
Free digital
Article
Offer valid until 02/12/2023
|
||||||||||||||||||
Article |
Ebook format Pdf readable on these devices:
|
|
|
|
|
In the present paper some properties of the arithmetic mean have been employed to determine the
parameters of the least squares line, plane and hyper plane, without using partial derivatives and
solving the equations of the normal system. It is in fact known that when the criterion of least
squares is used to identify an interpolating function, the solution to the problem is obtained via the
search for the minimum of a function; therefore the use of partial derivatives becomes inevitable. Instead,
the method here suggested allows the interpolating model - which is common to many economic
and social subjects - to be presented to university students including those without any knowledge
of partial derivatives.
|
