Polynomial approximation and least square analyses of factors affecting economics rate in the Philippines /
by Maria Lyn S. Alcances.
- Indang, Cavite : Cavite State University- Main Campus, 2014.
- xiii, 45 pages : illustrations ; 28 cm.
Thesis (BS Applied Mathematics) Cavite State University
Includes bibliographical references.
College of Arts and Science (CAS) College of Arts and Science (CAS)
ALCANCES, MARIA LYN S., Polynomial Approximation and Least Square Analyses of Factors Affecting Economic Rate in the Philippines. Undergraduate Thesis. Bachelor of Science in Applied Mathematics. Cavite State University, Indang, Cavite. Adviser: Paul Vincent E. Botin. The study was conducted to: determine the trend of gross domestic product (GDP) and inflation rates, interpolate the polynomial function defined by GDP rate and inflation rates, trace the appropriate model for the regression analysis using the interpolating polynomial, evaluate the goodness of fit of the traced model, and extrapolate the GDP and inflation rates for the next three years. The secondary data used in the study came from the Trading Economics that is accessible in the intemet. The data was the gross domestic product rate and inflation rates. Different models were formulated using interpolation and least square to trace the appropriate model. The tracing model for the GDP and inflation rates was fitted for each interval. Based on the result of r-square with 0.921 for range 1-8, 0.817 for the range 9-14, 0.917 for the range 15-26, 0.923 for the range 27-38, and for the range 39-52 was 0.900. The r-square for the Inflation rate data resulted to 0.991 for the range of 1-6, 0.878 for the range Of 7-18, in the range 19-29 was 0.973, for range 30-40 was 0.835 , and for range 41-52 was 0.877. The predicted value of extrapolating polynomial for gross domestic product rate was increasing from 2014-2016 with the rate of 7.08 on 1st quarter, 7.38 for 2nd quarter, and 7.41 for the 3"I quarter and 7.79 for 4th quarter of 2014. For the year 2015, the results was 7.88 for the 1st quarter, for 2nd quarter was 8.12, for the 31d quarter was 8.13 and for the 4th quarter was 8.11. On the year 2016 the results for 1st quarter was 8.14, for 2nd quarter was 8.32, for the 3"I quarter was 8.42 and for the 4th quarter was 8.54. While for inflation rate, from the year 2014 were 3.70, 4.10, 4.09 and 3.61 for 1St, 2nd, ".5rd, and 4th quarter respectively. In the year 2015 were 4.1, 4.07, 3.89, and 3.52 for the 1st, 2nd, 3rd, and 4th quarter respectively. For the year 2016 the results were 2.9, 3.17, 2.87, 2.55, for the 1st, 2nd, 3rd, and 4th quarter respectively. So the rate was increasing from 2014-2015 and will decrease on 2016.