Forecasting of ARIMA

Forecasting of rainfall from 2016 to 2025 can be done with low and high levels of expectation. The confidence levels are 80% and 95%. Figure 2.14 shows the graphical representation of forecasting (Table 2.5). Year Point forecast Low 80 High 80 Low 95 High 95 2016 1103.422 969.6137 1237.231 898.7797 1308.065 2017 1113.926 979.6177 1248.235 908.5191 1319.333… Continue reading Forecasting of ARIMA

Measuring goodness of fit

The components AIC, AICc and BIC are the estimators of best fit model of ARIMA. These coefficients are supported to maximize the log likelihood value of ARIMA model. Rainfall data provide best fit along with (0, 1, 1) × (1, 0, 0) model and its coefficients are smaller than the other ARIMA models (Table 2.4). ARIMA model… Continue reading Measuring goodness of fit

Autocorrelation and partial autocorrelation functions

Figure 2.12 shows the autocorrelation and partial autocorrelation of rainfall data. These are the plots used to display the correlated data with the significant level. In the figure, the data are correlated within the boundary level with 95% confidence interval significant level. Partial autocorrelation is the relationship between the observed data which has applied time series and… Continue reading Autocorrelation and partial autocorrelation functions

Predictive analytics

Prediction of rainfall data was done with the help of time series analysis. ARIMA is one of the models used for time series analysis. Figure 2.10 shows the normal flow of time series. Figure 2.11 explains the decomposition of additive and multiplicative time series of rainfall data. To make the data stationary, the components such as trend, seasonality,… Continue reading Predictive analytics

Nature of data: skewness and kurtosis

Figure 2.7 shows the skewness and kurtosis of the dataset. The skewness of the rainfall data is 0.01999941. It shows that the distribution of data is positively skewed. Kurtosis value is 2.763914. This is less than 3 which means the data contain low-​level outliers. Table 2.3 explains the overall summary of data with parameters like minimum, maximum,… Continue reading Nature of data: skewness and kurtosis

Predictive analytics

There are various models that can be used for prediction purpose. Time series is a sequence of data points which is well-​ordered based on time. Time series can be expressed asYt=f(t),(2.1) where Yt is the variable’s value in the study at time t. The components of time series analysis are Trend: It refers to increasing or… Continue reading Predictive analytics