The data in the table represent the January 1 stock price for the 33-year period from 1987 to 2019 for General Electric, one of the world's largest companies.

Year	GE Stock Price
1987	2.25
1988	2.36
1989	2.48
1990	3.68
1991	3.38
1992	4.65
1993	5.35
1994	6.74
1995	6.76
1996	9.80
1997	13.75
1998	20.77
1999	29.99
2000	44.98
2001	42.27
2002	35.90
2003	22.37
2004	29.25
2005	35.29
2006	34.79
2007	22.30
2008	22.54
2009	8.15
2010	11.35
2011	14.62
2012	14.05
2013	17.36
2014	20.22
2015	19.90
2016	26.39
2017	15.09
2018	9.75
2019	6.89

a. Fit a third-order autoregressive model to the GE stock price and test for the significance of the third-order autoregressive parameter. ( Use alpha=0.05).

b. If necessary, fit a second-order autoregressive model to the GE stock price and test for the significance of the second-order autoregressive parameter. ( Use alpha=0.05).

c. If necessary, fit a first-order autoregressive model to the GE stock price and test for the significance of the first-order autoregressive parameter. ( Use alpha=0.05). Plot the predicted values by this model.

d. Forecast the GE stock price for years 2020 and 2021 using the appropriate autoregressive model among a b and c.

Please use excel to show answer. ty!