Community Mathematics Centre, CoMaC
(2017)
Connecting
the dots...
the art and science of
interpolation and extrapolation.
At Right Angles, 6 (2).
pp. 1216.
ISSN 25821873
Abstract
We need to point out the difference
between the two terms ‘interpolation’ and
‘extrapolation’. Suppose we are given n data
points, and we have been able to find a curve
corresponding to a polynomial f of degree n
which passes through all the n points. We may
now want to use this knowledge to estimate the
yvalue corresponding to some xvalue lying
within the range of the given data. All we need
to do now is to substitute this value of x into
the function f, and we get the desired estimate.
This process is known as interpolation. What
happens if the xvalue lies outside the range of
the given data? We may assume now that the
same functional relationship holds between y
and x even if such is the case. Therefore, to get
the desired estimate, all we do (as earlier) is to
substitute this value of x into the function f. This
process is known as extrapolation.
Actions (login required)

View Item 