Discussion 2

Data and Packages

# A tsibble: 1,232 x 3 [1Q]
# Key:       State [8]
   Quarter State Expenditure
     <qtr> <chr>       <dbl>
 1 1985 Q3 ACT         0.294
 2 1985 Q4 ACT         0.288
 3 1986 Q1 ACT         0.257
 4 1986 Q2 ACT         0.257
 5 1986 Q3 ACT         0.267
 6 1986 Q4 ACT         0.287
 7 1987 Q1 ACT         0.264
 8 1987 Q2 ACT         0.261
 9 1987 Q3 ACT         0.269
10 1987 Q4 ACT         0.291
# ℹ 1,222 more rows
# A tsibble: 1,232 x 2 [1Q]
# Key:       State [8]
   State Quarter
   <chr>   <qtr>
 1 ACT   1985 Q3
 2 ACT   1985 Q4
 3 ACT   1986 Q1
 4 ACT   1986 Q2
 5 ACT   1986 Q3
 6 ACT   1986 Q4
 7 ACT   1987 Q1
 8 ACT   1987 Q2
 9 ACT   1987 Q3
10 ACT   1987 Q4
# ℹ 1,222 more rows
# A tsibble: 154 x 3 [1Q]
# Key:       State [1]
   Quarter State Expenditure
     <qtr> <chr>       <dbl>
 1 1985 Q3 NSW          6.63
 2 1985 Q4 NSW          7.14
 3 1986 Q1 NSW          6.31
 4 1986 Q2 NSW          6.29
 5 1986 Q3 NSW          6.35
 6 1986 Q4 NSW          6.80
 7 1987 Q1 NSW          6.21
 8 1987 Q2 NSW          6.15
 9 1987 Q3 NSW          6.24
10 1987 Q4 NSW          6.73
# ℹ 144 more rows

Classical Decomposition

STL Decomposition

Part 2 — Forecasting

# A tibble: 4 × 6
  .model     ME     MPE   MAPE    MSE   MAE
  <chr>   <dbl>   <dbl>  <dbl>  <dbl> <dbl>
1 Drift   0.199    9.65   9.65 0.0465 0.199
2 Mean   -2.62  -137.   137.   7.13   2.62 
3 Naive  -0.668  -39.9   40.9  0.703  0.699
4 SNaive -0.831  -48.0   48.1  0.962  0.834