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Given the data below, use timeseries forecasting techniques include linear, quadratic, exponential, moving average, exponential smoothing to predict data from November 2021 to December 2023.

Given the data below, use timeseries forecasting techniques include linear, quadratic, exponential, moving average, exponential smoothing to predict data from November 2021 to December 2023.

Requirements:

  1. In liner, calculate slope, intercept, linear forecast, forecast error, squared forecast error.
  2. In exponential, calculate b0, b1, exponential forecast, forecast error, squared forecast error.
  3. In quadratic, calculate b0_quad, b1_quad, b2_quad, quadratic forecast, forecast error, squared forecast error.
  4. In moving average, calculate period, moving average forecast, forecast error, squared forecast error.
  5. In exponential smoothing, calculate alpha, exponential forecast, forecast error, squared forecast error.
  6. Give a conclusion to your prediction.
Year Period Label Observation Value
2010 M01 2010 Jan 9.8
2010 M02 2010 Feb 9.8
2010 M03 2010 Mar 9.9
2010 M04 2010 Apr 9.9
2010 M05 2010 May 9.6
2010 M06 2010 Jun 9.4
2010 M07 2010 Jul 9.4
2010 M08 2010 Aug 9.5
2010 M09 2010 Sep 9.5
2010 M10 2010 Oct 9.4
2010 M11 2010 Nov 9.8
2010 M12 2010 Dec 9.3
2011 M01 2011 Jan 9.1
2011 M02 2011 Feb 9
2011 M03 2011 Mar 9
2011 M04 2011 Apr 9.1
2011 M05 2011 May 9
2011 M06 2011 Jun 9.1
2011 M07 2011 Jul 9
2011 M08 2011 Aug 9
2011 M09 2011 Sep 9
2011 M10 2011 Oct 8.8
2011 M11 2011 Nov 8.6
2011 M12 2011 Dec 8.5
2012 M01 2012 Jan 8.3
2012 M02 2012 Feb 8.3
2012 M03 2012 Mar 8.2
2012 M04 2012 Apr 8.2
2012 M05 2012 May 8.2
2012 M06 2012 Jun 8.2
2012 M07 2012 Jul 8.2
2012 M08 2012 Aug 8.1
2012 M09 2012 Sep 7.8
2012 M10 2012 Oct 7.8
2012 M11 2012 Nov 7.7
2012 M12 2012 Dec 7.9
2013 M01 2013 Jan 8
2013 M02 2013 Feb 7.7
2013 M03 2013 Mar 7.5
2013 M04 2013 Apr 7.6
2013 M05 2013 May 7.5
2013 M06 2013 Jun 7.5
2013 M07 2013 Jul 7.3
2013 M08 2013 Aug 7.2
2013 M09 2013 Sep 7.2
2013 M10 2013 Oct 7.2
2013 M11 2013 Nov 6.9
2013 M12 2013 Dec 6.7
2014 M01 2014 Jan 6.6
2014 M02 2014 Feb 6.7
2014 M03 2014 Mar 6.7
2014 M04 2014 Apr 6.2
2014 M05 2014 May 6.3
2014 M06 2014 Jun 6.1
2014 M07 2014 Jul 6.2
2014 M08 2014 Aug 6.1
2014 M09 2014 Sep 5.9
2014 M10 2014 Oct 5.7
2014 M11 2014 Nov 5.8
2014 M12 2014 Dec 5.6
2015 M01 2015 Jan 5.7
2015 M02 2015 Feb 5.5
2015 M03 2015 Mar 5.4
2015 M04 2015 Apr 5.4
2015 M05 2015 May 5.6
2015 M06 2015 Jun 5.3
2015 M07 2015 Jul 5.2
2015 M08 2015 Aug 5.1
2015 M09 2015 Sep 5
2015 M10 2015 Oct 5
2015 M11 2015 Nov 5.1
2015 M12 2015 Dec 5
2016 M01 2016 Jan 4.8
2016 M02 2016 Feb 4.9
2016 M03 2016 Mar 5
2016 M04 2016 Apr 5.1
2016 M05 2016 May 4.8
2016 M06 2016 Jun 4.9
2016 M07 2016 Jul 4.8
2016 M08 2016 Aug 4.9
2016 M09 2016 Sep 5
2016 M10 2016 Oct 4.9
2016 M11 2016 Nov 4.7
2016 M12 2016 Dec 4.7
2017 M01 2017 Jan 4.7
2017 M02 2017 Feb 4.6
2017 M03 2017 Mar 4.4
2017 M04 2017 Apr 4.5
2017 M05 2017 May 4.4
2017 M06 2017 Jun 4.3
2017 M07 2017 Jul 4.3
2017 M08 2017 Aug 4.4
2017 M09 2017 Sep 4.2
2017 M10 2017 Oct 4.1
2017 M11 2017 Nov 4.2
2017 M12 2017 Dec 4.1
2018 M01 2018 Jan 4
2018 M02 2018 Feb 4.1
2018 M03 2018 Mar 4
2018 M04 2018 Apr 4
2018 M05 2018 May 3.8
2018 M06 2018 Jun 4
2018 M07 2018 Jul 3.8
2018 M08 2018 Aug 3.8
2018 M09 2018 Sep 3.7
2018 M10 2018 Oct 3.8
2018 M11 2018 Nov 3.8
2018 M12 2018 Dec 3.9
2019 M01 2019 Jan 4
2019 M02 2019 Feb 3.8
2019 M03 2019 Mar 3.8
2019 M04 2019 Apr 3.7
2019 M05 2019 May 3.7
2019 M06 2019 Jun 3.6
2019 M07 2019 Jul 3.6
2019 M08 2019 Aug 3.7
2019 M09 2019 Sep 3.5
2019 M10 2019 Oct 3.6
2019 M11 2019 Nov 3.6
2019 M12 2019 Dec 3.6
2021 M01 2021 Jan 6.3
2021 M02 2021 Feb 6.2
2021 M03 2021 Mar 6
2021 M04 2021 Apr 6.1
2021 M05 2021 May 5.8
2021 M06 2021 Jun 5.9
2021 M07 2021 Jul 5.4
2021 M08 2021 Aug 5.2
2021 M09 2021 Sep 4.8
2021 M10 2021 Oct 4.6

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