Plz Help solve these questions with the following data set

Questions:

1.

aEstimate the trend of the series using a quadratic trend.

What is the value of the trend in the fourth quarter of 2015? Round your answer to the nearest second decimal.

b What is the value of the detrended series in the third quarter of 2005? Round your answer to the nearest second decimal.

2 Using the detrended series, compute the cyclical component of the series.

a What is the value of the cycle in the first quarter of 2004? Round your answer to the nearest second decimal.

b What is the value of the low frequency component in the fourth quarter of 1993? Round your answer to the nearest second decimal.

3

a Compute the seasonal component of your series.

What are the four seasonal values of the four quarters? Round your answer to the nearest second decimal.

Quarter 1:

Quarter 2:

Quarter 3:

Quarter 4:

b What is the value of the seasonally adjusted series in the second quarter of 1987? Round your answer to the nearest second decimal.

Full data set=

Year Quarter Data 1960 1 235 1960 2 264 1960 3 198 1960 4 248 1961 1 244 1961 2 268 1961 3 207 1961 4 254 1962 1 249 1962 2 274 1962 3 216 1962 4 260 1963 1 254 1963 2 277 1963 3 218 1963 4 267 1964 1 264 1964 2 287 1964 3 225 1964 4 274 1965 1 270 1965 2 291 1965 3 233 1965 4 280 1966 1 277 1966 2 301 1966 3 240 1966 4 286 1967 1 278 1967 2 305 1967 3 245 1967 4 286 1968 1 285 1968 2 315 1968 3 255 1968 4 296 1969 1 295 1969 2 320 1969 3 259 1969 4 305 1970 1 305 1970 2 329 1970 3 268 1970 4 315 1971 1 311 1971 2 330 1971 3 273 1971 4 326 1972 1 318 1972 2 344 1972 3 279 1972 4 330 1973 1 322 1973 2 345 1973 3 281 1973 4 340 1974 1 336 1974 2 360 1974 3 292 1974 4 340 1975 1 331 1975 2 356 1975 3 302 1975 4 350 1976 1 341 1976 2 376 1976 3 315 1976 4 357 1977 1 351 1977 2 379 1977 3 319 1977 4 372 1978 1 366 1978 2 397 1978 3 339 1978 4 386 1979 1 374 1979 2 398 1979 3 339 1979 4 387 1980 1 384 1980 2 408 1980 3 343 1980 4 391 1981 1 382 1981 2 412 1981 3 351 1981 4 401 1982 1 401 1982 2 429 1982 3 372 1982 4 416 1983 1 410 1983 2 437 1983 3 371 1983 4 428 1984 1 423 1984 2 454 1984 3 391 1984 4 429 1985 1 435 1985 2 467 1985 3 404 1985 4 446 1986 1 445 1986 2 469 1986 3 408 1986 4 454 1987 1 453 1987 2 468 1987 3 417 1987 4 468 1988 1 470 1988 2 496 1988 3 429 1988 4 476 1989 1 475 1989 2 506 1989 3 447 1989 4 490 1990 1 482 1990 2 512 1990 3 457 1990 4 499 1991 1 494 1991 2 531 1991 3 463 1991 4 519 1992 1 513 1992 2 545 1992 3 481 1992 4 529 1993 1 518 1993 2 545 1993 3 482 1993 4 536 1994 1 538 1994 2 559 1994 3 497 1994 4 551 1995 1 552 1995 2 571 1995 3 515 1995 4 567 1996 1 561 1996 2 584 1996 3 526 1996 4 575 1997 1 568 1997 2 600 1997 3 551 1997 4 595 1998 1 593 1998 2 612 1998 3 560 1998 4 606 1999 1 601 1999 2 632 1999 3 567 1999 4 614 2000 1 619 2000 2 645 2000 3 581 2000 4 638 2001 1 631 2001 2 657 2001 3 590 2001 4 639 2002 1 634 2002 2 666 2002 3 614 2002 4 674 2003 1 670 2003 2 697 2003 3 635 2003 4 684 2004 1 689 2004 2 713 2004 3 654 2004 4 698 2005 1 700 2005 2 732 2005 3 677 2005 4 718 2006 1 712 2006 2 754 2006 3 689 2006 4 742 2007 1 725 2007 2 759 2007 3 706 2007 4 760 2008 1 746 2008 2 774 2008 3 714 2008 4 768 2009 1 783 2009 2 813 2009 3 741 2009 4 794 2010 1 803 2010 2 829 2010 3 770 2010 4 810 2011 1 808 2011 2 841 2011 3 794 2011 4 840 2012 1 816 2012 2 858 2012 3 802 2012 4 834 2013 1 829 2013 2 868 2013 3 819 2013 4 851 2014 1 867 2014 2 908 2014 3 851 2014 4 889 2015 1 881 2015 2 926 2015 3 868 2015 4 916 2016 1 909 2016 2 952 2016 3 882 2016 4 944 2017 1 934 2017 2 987 2017 3 915 2017 4 962 2018 1 965 2018 2 995 2018 3 944 2018 4 998 2019 1 998 2019 2 1007 2019 3 946 2019 4 1001