Month	Commercial Price ($000/cu ft)	Residential Price ($000/cu ft)
Jan-2008	11.20	12.24
Feb-2008	11.49	12.58
Mar-2008	12.03	13.13
Apr-2008	12.63	14.49
May-2008	13.51	16.33
Jun-2008	14.68	18.91
Jul-2008	15.64	20.77
Aug-2008	14.19	20.17
Sep-2008	13.12	18.41
Oct-2008	12.06	15.45
Nov-2008	11.72	13.80
Dec-2008	11.61	12.84
Jan-2009	11.28	12.49
Feb-2009	10.98	12.26
Mar-2009	10.46	11.98
Apr-2009	9.70	11.68
May-2009	9.42	12.86
Jun-2009	9.53	14.26
Jul-2009	9.74	15.27
Aug-2009	9.52	15.61
Sep-2009	9.35	14.80
Oct-2009	8.93	11.78
Nov-2009	9.45	11.48
Dec-2009	9.10	10.42
Jan-2010	9.65	10.56
Feb-2010	9.71	10.69
Mar-2010	9.70	10.99
Apr-2010	9.57	11.97
May-2010	9.50	13.12
Jun-2010	9.72	14.86
Jul-2010	10.04	16.21
Aug-2010	9.94	16.65
Sep-2010	9.56	15.63
Oct-2010	9.27	13.37
Nov-2010	8.86	10.89
Dec-2010	8.82	9.98
Jan-2011	8.74	9.90
Feb-2011	8.88	10.14
Mar-2011	8.89	10.43
Apr-2011	9.02	11.27
May-2011	9.35	12.50
Jun-2011	9.57	14.70
Jul-2011	9.58	16.14
Aug-2011	9.77	16.67
Sep-2011	9.46	15.63
Oct-2011	8.94	12.85
Nov-2011	8.62	10.78
Dec-2011	8.30	9.83
Jan-2012	8.04	9.62
Feb-2012	7.76	9.47
Mar-2012	8.16	10.41
Apr-2012	8.04	10.94
May-2012	8.14	12.61
Jun-2012	8.44	14.18
Jul-2012	8.52	15.13
Aug-2012	8.71	15.82
Sep-2012	8.35	14.72
Oct-2012	8.07	11.68
Nov-2012	7.99	9.99
Dec-2012	8.18	9.80
Jan-2013	7.75	9.15
Feb-2013	7.78	9.23
Mar-2013	7.77	9.35
Apr-2013	8.15	10.43
May-2013	8.71	12.61
Jun-2013	9.07	15.02
Jul-2013	9.04	16.30
Aug-2013	9.04	16.43
Sep-2013	8.80	15.69
Oct-2013	8.28	12.38
Nov-2013	7.94	10.04
Dec-2013	7.81	9.14
Jan-2014	8.11	9.26
Feb-2014	8.69	9.77
Mar-2014	9.35	10.70
Apr-2014	9.49	11.76
May-2014	9.70	13.60
Jun-2014	9.94	16.13
Jul-2014	10.06	17.23
Aug-2014	9.67	17.41
Sep-2014	9.39	16.27
Oct-2014	8.97	13.11
Nov-2014	8.29	10.19
Dec-2014	8.53	10.01
Jan-2015	8.14	9.50
Feb-2015	7.81	9.08
Mar-2015	7.84	9.28
Apr-2015	8.02	10.44
May-2015	8.13	12.73
Jun-2015	8.52	15.07
Jul-2015	8.49	16.28
Aug-2015	8.45	16.89
Sep-2015	8.42	16.40
Oct-2015	7.78	12.60
Nov-2015	7.39	10.02
Dec-2015	7.22	9.27
Jan-2016	6.74	8.30
Feb-2016	6.82	8.38
Mar-2016	7.05	9.21
Apr-2016	6.94	9.65
May-2016	7.35	11.61
Jun-2016	7.71	14.47
Jul-2016	8.11	16.58
Aug-2016	8.25	17.63
Sep-2016	8.27	16.80
Oct-2016	7.93	13.74
Nov-2016	7.59	10.76
Dec-2016	7.24	9.06
Jan-2017	7.58	9.32
Feb-2017	7.89	10.01
Mar-2017	7.68	9.86
Apr-2017	8.04	11.34
May-2017	8.31	13.26
Jun-2017	8.75	16.06
Jul-2017	8.81	17.86
Aug-2017	8.76	18.22
Sep-2017	8.52	16.92
Oct-2017	7.97	13.36
Nov-2017	7.51	10.15
Dec-2017	7.42	9.29
Jan-2018	7.43	8.91
Feb-2018	7.82	9.64
Mar-2018	7.74	9.78
Apr-2018	7.66	10.04
May-2018	8.46	13.64
Jun-2018	8.65	16.51
Jul-2018	8.93	17.92
Aug-2018	8.74	18.63
Sep-2018	8.64	17.31
Oct-2018	7.71	12.26
Nov-2018	7.35	9.43
Dec-2018	7.77	9.63
Jan-2019	7.75	9.43
Feb-2019	7.61	9.47
Mar-2019	7.47	9.48
Apr-2019	7.77	10.92
May-2019	8.12	12.86

16.61 The monthly commercial and residential prices for natural gas (dollars per thousand cubic feet) in the United States from Jan- uary 2008 through May 2019 are stored in Natural Gas Source: Data extracted from Energy Information Administration, U.S. Department of Energy, www.eia.gov, Natural Gas Monthly, July 31, 2019. For the commercial price and the residential price, a. do you think the price for natural gas has a seasonal component? b. plot the time series. Does this chart support your answer in (a)? c. compute an exponential trend forecasting equation for monthly data. d. interpret the monthly compound growth rate. e. interpret the monthly multipliers. Do the multipliers support your answers in (a) and (b)? f. compare the results for the commercial prices and the residential prices