Question: Perform in R, using cross-validation methods, compare and explain the choice of the best forecast model for this uptrend and seasonality time series below in
Perform in R, using cross-validation methods, compare and explain the choice of the best forecast model for this uptrend and seasonality time series below in the next 8 quarters.
| Quarter | Production |
| 1956 Q1 | 3923 |
| 1956 Q2 | 4436 |
| 1956 Q3 | 4806 |
| 1956 Q4 | 4418 |
| 1957 Q1 | 4339 |
| 1957 Q2 | 4811 |
| 1957 Q3 | 5259 |
| 1957 Q4 | 4735 |
| 1958 Q1 | 4608 |
| 1958 Q2 | 5196 |
| 1958 Q3 | 5616 |
| 1958 Q4 | 4977 |
| 1959 Q1 | 4883 |
| 1959 Q2 | 5744 |
| 1959 Q3 | 6035 |
| 1959 Q4 | 5514 |
| 1960 Q1 | 5387 |
| 1960 Q2 | 6211 |
| 1960 Q3 | 6659 |
| 1960 Q4 | 5983 |
| 1961 Q1 | 5709 |
| 1961 Q2 | 6458 |
| 1961 Q3 | 6875 |
| 1961 Q4 | 6162 |
| 1962 Q1 | 6098 |
| 1962 Q2 | 7075 |
| 1962 Q3 | 7595 |
| 1962 Q4 | 6882 |
| 1963 Q1 | 6707 |
| 1963 Q2 | 7874 |
| 1963 Q3 | 8555 |
| 1963 Q4 | 7503 |
| 1964 Q1 | 7469 |
| 1964 Q2 | 8829 |
| 1964 Q3 | 9513 |
| 1964 Q4 | 8415 |
| 1965 Q1 | 8270 |
| 1965 Q2 | 9503 |
| 1965 Q3 | 10306 |
| 1965 Q4 | 9077 |
| 1966 Q1 | 8650 |
| 1966 Q2 | 10180 |
| 1966 Q3 | 11234 |
| 1966 Q4 | 9836 |
| 1967 Q1 | 9489 |
| 1967 Q2 | 10991 |
| 1967 Q3 | 12170 |
| 1967 Q4 | 10470 |
| 1968 Q1 | 10089 |
| 1968 Q2 | 11858 |
| 1968 Q3 | 13198 |
| 1968 Q4 | 11413 |
| 1969 Q1 | 11136 |
| 1969 Q2 | 13040 |
| 1969 Q3 | 14248 |
| 1969 Q4 | 12762 |
| 1970 Q1 | 12328 |
| 1970 Q2 | 14493 |
| 1970 Q3 | 15661 |
| 1970 Q4 | 13781 |
| 1971 Q1 | 13299 |
| 1971 Q2 | 15230 |
| 1971 Q3 | 16667 |
| 1971 Q4 | 14484 |
| 1972 Q1 | 13838 |
| 1972 Q2 | 15919 |
| 1972 Q3 | 17149 |
| 1972 Q4 | 15564 |
| 1973 Q1 | 15024 |
| 1973 Q2 | 17064 |
| 1973 Q3 | 18512 |
| 1973 Q4 | 16467 |
| 1974 Q1 | 16249 |
| 1974 Q2 | 18515 |
| 1974 Q3 | 20377 |
| 1974 Q4 | 17681 |
| 1975 Q1 | 16692 |
| 1975 Q2 | 19184 |
| 1975 Q3 | 20078 |
| 1975 Q4 | 18260 |
| 1976 Q1 | 18023 |
| 1976 Q2 | 20234 |
| 1976 Q3 | 22272 |
| 1976 Q4 | 19684 |
| 1977 Q1 | 19031 |
| 1977 Q2 | 21545 |
| 1977 Q3 | 23270 |
| 1977 Q4 | 20107 |
| 1978 Q1 | 20084 |
| 1978 Q2 | 22634 |
| 1978 Q3 | 24494 |
| 1978 Q4 | 21396 |
| 1979 Q1 | 21323 |
| 1979 Q2 | 23644 |
| 1979 Q3 | 25994 |
| 1979 Q4 | 22802 |
| 1980 Q1 | 22604 |
| 1980 Q2 | 24510 |
| 1980 Q3 | 26690 |
| 1980 Q4 | 24132 |
| 1981 Q1 | 23639 |
| 1981 Q2 | 26320 |
| 1981 Q3 | 28345 |
| 1981 Q4 | 24890 |
| 1982 Q1 | 24675 |
| 1982 Q2 | 27122 |
| 1982 Q3 | 28590 |
| 1982 Q4 | 25371 |
| 1983 Q1 | 24687 |
| 1983 Q2 | 27285 |
| 1983 Q3 | 29290 |
| 1983 Q4 | 26684 |
| 1984 Q1 | 26641 |
| 1984 Q2 | 29042 |
| 1984 Q3 | 31876 |
| 1984 Q4 | 28357 |
| 1985 Q1 | 28114 |
| 1985 Q2 | 30843 |
| 1985 Q3 | 33175 |
| 1985 Q4 | 29658 |
| 1986 Q1 | 29518 |
| 1986 Q2 | 32017 |
| 1986 Q3 | 34390 |
| 1986 Q4 | 31065 |
| 1987 Q1 | 31039 |
| 1987 Q2 | 33712 |
| 1987 Q3 | 35850 |
| 1987 Q4 | 33111 |
| 1988 Q1 | 33140 |
| 1988 Q2 | 34664 |
| 1988 Q3 | 37170 |
| 1988 Q4 | 35352 |
| 1989 Q1 | 34948 |
| 1989 Q2 | 37382 |
| 1989 Q3 | 40171 |
| 1989 Q4 | 36561 |
| 1990 Q1 | 37006 |
| 1990 Q2 | 39217 |
| 1990 Q3 | 41205 |
| 1990 Q4 | 37856 |
| 1991 Q1 | 37713 |
| 1991 Q2 | 38944 |
| 1991 Q3 | 41238 |
| 1991 Q4 | 37800 |
| 1992 Q1 | 38024 |
| 1992 Q2 | 39466 |
| 1992 Q3 | 41934 |
| 1992 Q4 | 38185 |
| 1993 Q1 | 38930 |
| 1993 Q2 | 40822 |
| 1993 Q3 | 42198 |
| 1993 Q4 | 40222 |
| 1994 Q1 | 39177 |
| 1994 Q2 | 40215 |
| 1994 Q3 | 42855 |
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