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Relations and Modeling of GDP and House price index of USA

Use R coding
You could refer to the example report uploaded.
1. data background
2. process data to be used
3. use models to model the two datasets separately.
Models: AR, MA, ARMA, or seasonal model.
Test and use GARCH models (different kinds)
Could compare different models
Pick models
Test models, use tsdiag, box-test
Predict/forecast
4. regress GDP on House Price Index
test linear relation
test regress
5. conclusion
Month    US_house price indexes(1/1/91 is 100)    US-Real GDP(billion)
1/1/1993    104.46     8421.122
2/1/1993    104.22     8441.720
3/1/1993    104.54     8434.974
4/1/1993    105.22     8456.270
5/1/1993    105.40     8493.134
6/1/1993    105.80     8510.093
7/1/1993    105.88     8488.211
8/1/1993    106.22     8519.392
9/1/1993    106.63     8585.967
10/1/1993    106.90     8577.206
11/1/1993    107.19     8665.331
12/1/1993    107.69     8689.101
1/1/1994    107.98     8693.560
2/1/1994    108.19     8743.073
3/1/1994    108.59     8747.339
4/1/1994    108.92     8784.426
5/1/1994    109.27     8900.355
6/1/1994    109.49     8857.441
7/1/1994    109.62     8883.274
8/1/1994    109.91     8936.925
9/1/1994    110.01     8893.050
10/1/1994    110.26     8986.683
11/1/1994    110.52     8984.437
12/1/1994    110.51     9038.793
1/1/1995    110.89     9066.653
2/1/1995    111.38     8983.778
3/1/1995    111.30     9025.702
4/1/1995    111.48     9004.417
5/1/1995    111.59     9028.002
6/1/1995    112.02     9102.100
7/1/1995    112.54     9060.917
8/1/1995    112.83     9112.276
9/1/1995    113.06     9189.307
10/1/1995    113.19     9160.983
11/1/1995    113.37     9161.269
12/1/1995    113.81     9231.176
1/1/1996    114.26     9227.709
2/1/1996    114.49     9230.075
3/1/1996    114.83     9284.575
4/1/1996    115.15     9416.306
5/1/1996    115.43     9380.146
6/1/1996    115.54     9425.590
7/1/1996    115.97     9461.372
8/1/1996    115.93     9478.114
9/1/1996    116.31     9527.729
10/1/1996    116.35     9597.305
11/1/1996    116.69     9612.219
12/1/1996    117.03     9568.335
1/1/1997    117.16     9630.832
2/1/1997    117.48     9695.267
3/1/1997    117.99     9672.755
4/1/1997    118.21     9800.132
5/1/1997    118.64     9765.642
6/1/1997    118.73     9863.249
7/1/1997    119.05     9909.637
8/1/1997    119.47     9920.097
9/1/1997    119.59     9968.654
10/1/1997    120.24     9998.874
11/1/1997    120.62     9971.687
12/1/1997    121.02     10056.427
1/1/1998    121.42     9994.757
2/1/1998    122.33     10144.596
3/1/1998    122.74     10171.217
4/1/1998    123.32     10153.150
5/1/1998    123.81     10167.215
6/1/1998    124.61     10262.722
7/1/1998    124.91     10246.877
8/1/1998    125.48     10297.130
9/1/1998    126.26     10442.584
10/1/1998    126.81     10488.396
11/1/1998    127.61     10528.351
12/1/1998    128.17     10506.185
1/1/1999    128.94     10531.156
2/1/1999    129.50     10610.546
3/1/1999    130.02     10661.897
4/1/1999    130.68     10652.193
5/1/1999    131.48     10703.495
6/1/1999    132.07     10696.316
7/1/1999    132.79     10803.424
8/1/1999    133.64     10796.405
9/1/1999    134.04     10859.905
10/1/1999    134.93     10930.045
11/1/1999    135.43     11016.745
12/1/1999    136.06     11096.097
1/1/2000    137.61     10985.345
2/1/2000    137.52     11037.937
3/1/2000    138.54     11105.711
4/1/2000    139.51     11240.435
5/1/2000    140.15     11252.356
6/1/2000    141.07     11282.574
7/1/2000    141.84     11196.460
8/1/2000    142.39     11307.394
9/1/2000    143.29     11299.557
10/1/2000    144.09     11349.222
11/1/2000    144.99     11347.371
12/1/2000    145.81     11306.723
1/1/2001    146.77     11320.607
2/1/2001    147.76     11285.784
3/1/2001    148.58     11285.102
4/1/2001    149.40     11349.007
5/1/2001    150.07     11419.197
6/1/2001    150.79     11345.593
7/1/2001    151.67     11311.565
8/1/2001    152.39     11434.606
9/1/2001    153.23     11274.012
10/1/2001    154.11     11357.953
11/1/2001    154.61     11299.768
12/1/2001    155.62     11482.811
1/1/2002    156.56     11496.388
2/1/2002    157.46     11427.356
3/1/2002    158.41     11510.106
4/1/2002    159.33     11522.492
5/1/2002    160.39     11524.424
6/1/2002    161.38     11569.682
7/1/2002    162.40     11630.264
8/1/2002    163.51     11568.979
9/1/2002    164.52     11590.056
10/1/2002    165.61     11565.872
11/1/2002    166.60     11591.361
12/1/2002    167.77     11639.068
1/1/2003    168.82     11606.663
2/1/2003    169.85     11693.256
3/1/2003    170.48     11637.643
4/1/2003    171.54     11707.865
5/1/2003    172.42     11689.362
6/1/2003    173.28     11819.194
7/1/2003    174.56     11878.383
8/1/2003    175.88     11926.224
9/1/2003    177.30     12002.216
10/1/2003    178.35     12012.603
11/1/2003    179.70     12055.406
12/1/2003    181.18     12060.651
1/1/2004    182.48     12033.859
2/1/2004    183.90     12143.894
3/1/2004    185.06     12205.262
4/1/2004    186.65     12183.488
5/1/2004    188.43     12278.178
6/1/2004    190.38     12179.938
7/1/2004    192.01     12290.194
8/1/2004    193.34     12311.545
9/1/2004    194.85     12308.878
10/1/2004    196.27     12416.025
11/1/2004    198.13     12401.426
12/1/2004    199.81     12413.540
1/1/2005    201.28     12539.381
2/1/2005    202.72     12503.565
3/1/2005    204.79     12559.521
4/1/2005    206.55     12572.268
5/1/2005    208.24     12539.956
6/1/2005    210.02     12650.331
7/1/2005    212.05     12658.603
8/1/2005    213.68     12703.405
9/1/2005    215.67     12687.505
10/1/2005    216.88     12709.948
11/1/2005    218.28     12710.738
12/1/2005    219.55     12825.278
1/1/2006    221.11     12876.969
2/1/2006    221.54     12864.698
3/1/2006    222.44     13005.643
4/1/2006    222.82     12928.263
5/1/2006    223.47     12984.213
6/1/2006    223.41     12974.591
7/1/2006    223.48     12943.299
8/1/2006    224.06     12957.783
9/1/2006    224.02     12996.291
10/1/2006    224.41     13016.733
11/1/2006    225.02     13092.641
12/1/2006    225.30     13072.459
1/1/2007    226.11     13066.769
2/1/2007    225.94     13146.739
3/1/2007    227.10     13054.380
4/1/2007    227.10     13187.631
5/1/2007    226.02     13210.721
6/1/2007    225.22     13183.940
7/1/2007    224.15     13175.689
8/1/2007    223.25     13273.783
9/1/2007    222.33     13355.997
10/1/2007    220.61     13308.452
11/1/2007    219.21     13345.534
12/1/2007    218.26     13436.170
1/1/2008    216.21     13452.289
2/1/2008    215.15     13262.775
3/1/2008    213.26     13301.225
4/1/2008    210.89     13302.936
5/1/2008    208.64     13325.277
6/1/2008    207.32     13445.863
7/1/2008    205.51     13324.160
8/1/2008    203.66     13213.977
9/1/2008    201.83     13131.222
10/1/2008    199.80     13071.049
11/1/2008    196.32     13080.629
12/1/2008    196.20     12829.733
1/1/2009    198.05     12854.981
2/1/2009    198.41     12829.519
3/1/2009    196.20     12816.690
4/1/2009    194.94     12823.109
5/1/2009    194.48     12846.551
6/1/2009    194.34     12763.536
7/1/2009    193.83     12805.774
8/1/2009    193.50     12867.887
9/1/2009    193.22     12911.607
10/1/2009    193.84     13062.917
11/1/2009    194.34     13027.202
12/1/2009    192.26     12968.788
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