Comparative Analysis of Gum Arabic Production using Newton’s Interpolating Method and Simple Linear Regression

Abstract

Gum Arabic is sengalia Senegal or acacia Senegal – it is a natural
poly scalded, it is colorless, even the brown color which melts in hot
water and makes chick strings is scentless. The ultimate aim of the
field of numerical analysis is to provide convenient methods for
obtaining useful solutions to mathematical problems and for
entrancing useful information from available solutions which are not
expressed in tractable forms. Such problems may be formulated, for
example, in terms of an algebraic or transcendental equation, or an
integral equation, or in terms of asset of such equations. In statistical
modeling, regression analysis is a statistical process for estimating
the relationships among variables. It includes many techniques for
modeling and analyzing several variables, when the focus is on the
relationship between a dependent variable and one or more
independent variables. This paper aims to estimate and analyze the
production data of Gum Arabic and the influence of rains of
production in two methods and to determine which method is best. A
mathematical analysis method is followed in this study by using
Newton’s interpolating method and simple linear regression method.
It is known that both methods study two variables. The production is
dependent variable and a rain its independent variable for the study.
Finally, we estimate a certain relation between rain and production
and we found in two methods when the rain increases the production
increases, also the simple linear regression method is practically
faster and easier due to less error.