Question
Please answer the following forecasting question using the time series data(10 years) given for the following data using Rstudio software. Data 3044 3321 3723 4182
Please answer the following forecasting question using the time series data(10 years) given for the following data using "Rstudio" software.
Data 3044 |
3321 |
3723 |
4182 |
5050 |
6112 |
6701 |
6561 |
5508 |
5661 |
5479 |
5245 |
4134 |
4264 |
4636 |
5192 |
6040 |
6930 |
7349 |
7417 |
6697 |
7124 |
7013 |
6992 |
5666 |
6033 |
6458 |
6718 |
6927 |
8084 |
8450 |
8026 |
7346 |
7550 |
6919 |
6749 |
5706 |
6181 |
6661 |
7115 |
7958 |
8998 |
9519 |
9233 |
8314 |
8799 |
8265 |
8134 |
7340 |
7681 |
8273 |
8805 |
9668 |
10319 |
10857 |
10590 |
9590 |
9915 |
10028 |
9549 |
8632 |
8897 |
9206 |
10048 |
10556 |
11318 |
11749 |
11237 |
10566 |
10919 |
10956 |
10630 |
9692 |
9784 |
10244 |
10577 |
11170 |
12012 |
12503 |
12048 |
11303 |
11525 |
11497 |
11399 |
11562 |
11877 |
12201 |
12706 |
12936 |
13967 |
14120 |
14052 |
13091 |
13316 |
13197 |
13038 |
12108 |
12205 |
12425 |
12855 |
13013 |
13707 |
14279 |
13414 |
13183 |
12928 |
12390 |
12247 |
10985 |
11492 |
11656 |
12183 |
12930 |
13447 |
13910 |
13570 |
13296 |
13213 |
12418 |
12137 |
- Apply time series regression.
- Report the output of regression analysis.
- Use residual plots to check the assumptions of the regression model.
- Forecast the next 12 periods.
- Construct the time series plot including forecasts.
- Apply Box-Jenkins methodology (assume that the time series data is stationary in its variance) and fit an appropriate ARIMA model.
- Write the ARIMA model using the backshift notation.
- Write the forecasting equation of the ARIMA model.
- Plot ACF and PACF of the residuals from the fitted model.
- Report the output for the coefficient estimates and error measures.
- Forecast the next 12 periods.
- Construct the time series plot including forecasts.
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