Time Series

Time Specification

Time Type Start Date End Date Increment No. observed
MONTH 1949-01-01 1960-12-01 1 144

Holt-Winters' Smoothing: Parameter and Error Estimates [AirPassengers]

Alpha Beta Gamma SSE MSE RMSE
0.247959 0.0345337 1 21860.2 165.607 12.8689

Holt-Winters' Smoothing: Coefficient Estimates [AirPassengers]

Level Trend Seasonal 1 Seasonal 2 Seasonal 3 Seasonal 4 Seasonal 5 Seasonal 6 Seasonal 7 Seasonal 8 Seasonal 9 Seasonal 10 Seasonal 11 Seasonal 12
477.828 3.12763 -27.4577 -54.6925 -20.1746 12.9191 18.8736 75.2944 152.888 134.613 33.7783 -18.3791 -87.7724 -45.8278

Holt-Winters' Smoothing (additive) of [AirPassengers] (alpha = 0.248, beta = 0.0345, gamma = 1)

, ,This graph shows time series plot for the variables, , AirPassengers, , The x-axis label is, Year, , The x-axis limits are between, 1949 and 1960, , The y-axis label is, AirPassengers, , The y-axis limits are between, 83.28 and 642.72, , The graph includes a legend., , Legend 1, , AirPassengers, , The character used is a filled circle, , The line type used is solid, ,, , Legend 2, , Holt-Winters' Fit, , The character used is a NA, , The line type used is NA, ,