ABSTRACT
This study considered the application of Fourier
Series Analysis in Modelling Seasonal Data and use of such model to forecast
the future values of such data, hi order to achieve these objectives the data
required for analysis and Regional Planning Department, University of Uyo. This
set of data was the mean monthly temperature ofUyo Metropolis in Akwa Ibom
Slate from 1998 to 2003. The model consisted of the Trend (T), the Seasonal or
Detrended (D) and the I obtained as: Yt = 26.7 + 0.000736 t - 1.045Coscot -
0.601 Sinwt - 0.117Cos2wt + -0.183Cos3(ot 0.117Sin3wt + 0.250Cos4a)t +
0.1l5Sin4cot In testing for the significance ofthe parameters some parameters
were found not to be significant; hence the model reduces to: Y( =26.7- 1.045
Coswt —0.601 Sincot + 0.462Sin2(at + 0.250Cos4cot In assessing the error
component, it was found out that there existed some autocorrelation among its
values and this led to the estimation of the error term by became negligible. squares method. The general Fourier Scries
model with the first two component was one to the term. Though the
autoregressive 11 as time increases, the estimated error term 0.121Cos5cot +
0.034Sin5o?t +0.017Cos6o)t. error (Zt) components. Tire parameter estimates
were obtained by ordinary' least interpretation were collected
EKPENYONG, E (2024). Fourier Series Analysis Of Seasonal Data:- Ekpenyong, Emmanuel J.. Repository.mouau.edu.ng: Retrieved Dec 06, 2024, from https://repository.mouau.edu.ng/work/view/fourier-series-analysis-of-seasonal-data-ekpenyong-emmanuel-j-7-2
EKPENYONG, EKPENYONG. "Fourier Series Analysis Of Seasonal Data:- Ekpenyong, Emmanuel J." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 09 Jan. 2024, https://repository.mouau.edu.ng/work/view/fourier-series-analysis-of-seasonal-data-ekpenyong-emmanuel-j-7-2. Accessed 06 Dec. 2024.
EKPENYONG, EKPENYONG. "Fourier Series Analysis Of Seasonal Data:- Ekpenyong, Emmanuel J.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 09 Jan. 2024. Web. 06 Dec. 2024. < https://repository.mouau.edu.ng/work/view/fourier-series-analysis-of-seasonal-data-ekpenyong-emmanuel-j-7-2 >.
EKPENYONG, EKPENYONG. "Fourier Series Analysis Of Seasonal Data:- Ekpenyong, Emmanuel J." Repository.mouau.edu.ng (2024). Accessed 06 Dec. 2024. https://repository.mouau.edu.ng/work/view/fourier-series-analysis-of-seasonal-data-ekpenyong-emmanuel-j-7-2