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3300 Econometric HW obs RWAGES PRODUCT 1959 59.87100 48.02600 1960 61.31800 48.86500 1961 63.05400 50.56700 1962...

3300 Econometric HW

obs RWAGES PRODUCT
1959 59.87100 48.02600
1960 61.31800 48.86500
1961 63.05400 50.56700
1962 65.19200 52.88200
1963 66.63300 54.95000
1964 68.25700 56.80800
1965 69.67600 58.81700
1966 72.30000 61.20400
1967 74.12100 62.54200
1968 76.89500 64.67700
1969 78.00800 64.99300
1970 79.45200 66.28500
1971 80.88600 69.01500
1972 83.32800 71.24300
1973 85.06200 73.41000
1974 83.98800 72.25700
1975 84.84300 74.79200
1976 87.14800 77.14500
1977 88.33500 78.45500
1978 89.73600 79.32000
1979 89.86300 79.30500
1980 89.59200 79.15100
1981 89.64500 80.77800
1982 90.63700 80.14800
1983 90.59100 83.00100
1984 90.71200 85.21400
1985 91.91000 87.13100
1986 94.86900 89.67300
1987 95.20700 90.13300
1988 96.52700 91.50600
1989 95.00500 92.40800
1990 96.21900 94.38500
1991 97.46500 95.90300
1992 100.00000 100.00000
1993 99.71200 100.38600
1994 99.02400 101.34900
1995 98.69000 101.49500
1996 99.47800 104.49200
1997 100.51200 106.47800
1998 105.17300 109.47400
1999 108.04400 112.82800
2000 111.99200 116.11700
2001 113.53600 119.08200
2002 115.69400 123.94800
2003 117.70900 128.70500
2004 118.94900 132.39000
2005 119.69200 135.02100
2006 120.44700 136.40000

Problem 2.

Use the data in the “Autocorrelation” tab to test

  1. For Autocorrelation using the Durbin Watson Test

  2. Graph the Residuals and determine whether they are distributed normally or whether they are biased

Solutions

Expert Solution

We are going to use the Durbin Watson Test for testing the autocorrelation. I am using the Stata Software for applying the Durbin Watson test.

You don't have mentioned which of the variable is dependent variable. I am providing the results where once "product" is taken as dependent variable and another time "wages" is taken as dependent variable. Irrespective of the dependent variable, the DW test statistic would be the same.

The output is given in the picture below:

Here you can see that Durbin Watson statistic is 0.1463206.

Graphs: The graph of the residuals is given below.

I am attaching two different plots.

1. k-density plot

2. p-p plot

Along with that I ma going to apply the Shapiro -wilk Test to make sure whether the residuals are normally distributed or not.

Where H0 is r is normally distributed.

Here, p-value is 0.04159. Thus we reject H0. We found that residuals are not normally distributed.


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