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Autocorrelation Problem Set Refer to the attached “stocks” data

Statistics Dec 04, 2020

Autocorrelation Problem Set

Refer to the attached “stocks” data.  Data include NYSE index values, GDP measured in billions of dollars, and time from 1980-2006.  First, estimate the following equation using Ordinary Least Squares (OLS):

NYSEt=B1+B2GDPt+ut

 

  1. Use a scatter diagram to assess whether there is first-order autocorrelation in this series? 
  2. Now, assess whether there is first-order autocorrelation based on the basis of the d test.  Note: use the command “tsset time” so that you can estimate the Durbin-Watson statistic using “estat dwatson.”
  3. Finally, correct the problem of autocorrelation using the “Newey-West” method.
  4. (Optional) Use the d value from (b) to transform the data per the generalized difference equation below:

YtYt-1=B11-ρ+B2XtXt-1+vt

 

Is there autocorrelation in the transformed model?

 

NYSE

GDP

time

720.15

2789.5

1980

782.62

3128.4

1981

728.84

3255

1982

979.52

3536.7

1983

977.33

3933.2

1984

1142.97

4220.3

1985

1438.02

4462.8

1986

1709.79

4739.5

1987

1585.14

5103.8

1988

1903.36

5484.4

1989

1939.47

5803.1

1990

2181.72

5995.9

1991

2421.51

6337.7

1992

2638.96

6657.4

1993

2687.02

7072.2

1994

3078.56

7397.7

1995

3787.2

7816.9

1996

4827.35

8304.3

1997

5818.26

8747

1998

6546.81

9268.4

1999

6805.89

9817

2000

6397.85

10128

2001

5578.89

10469.6

2002

5447.46

10960.8

2003

6612.62

11685.9

2004

7349

12433.9

2005

8357.99

13194.7

2006

 

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