soru 1

B4.1 Model kampanya harcamalarının seçim sonuçlarının etkilenip etkilenilmediğini incelemek için yapılan bir çalışmada kullanılabilir

\[ voteA=β0+β1log(expendA)+β2log(expendB)+β3prtystrA+u \] ## Burada voteA Aday A tarafindan alinan oy orani, expendA ve expend aday A ve B tarafindan yapilan kampanya harcamalari ve prtystrA ise Aday A için parti gücünün bir Ölçüsüdür (A’min partisine en son baskanlik secimine giden oy oran)

I-)β1’in yorumu nedir?

CEVAP I Herşey eşit iken A adayının yaptığı harcamalar A adayının oy oranını arttırabilir.Bu yüzden β1 pozitiftir.

II-)A’nın harcamalarındaki %1’lik artışın B’nin harcamalarındaki %1’lik artışla dengelendiği hipotezini parametreler cinsinden ifade ediniz.

\[ voteA=β0+β1log(1)+β2log(1)+β3prtystrA+u \]

III-)Verilen modeli VOTE1.RAW’daki verileri kullanarak tahmin ediniz ve sonuçları her zamanki formda rapor ediniz.A’nın harcamaları sonucu etkiler mi?Ya B’nin harcamaları?bu sonuçları (II)’deki hipotezi test etmek için kullanabilir misiniz?

library(wooldridge)
data("vote1")
head(vote1, 1-10)
##     state district democA voteA  expendA  expendB prtystrA   lexpendA
## 1      AL        7      1    68  328.296    8.737       41  5.7939157
## 2      AK        1      0    62  626.377  402.477       60  6.4399524
## 3      AZ        2      1    73   99.607    3.065       55  4.6012325
## 4      AZ        3      0    69  319.690   26.281       64  5.7673516
## 5      AR        3      0    75  159.221   60.054       66  5.0702929
## 6      AR        4      1    69  570.155   21.393       46  6.3459082
## 7      CA        2      0    59  696.748  193.915       58  6.5464239
## 8      CA        3      1    71  638.688    7.695       49  6.4594159
## 9      CA        5      1    76  616.936   19.245       71  6.4247651
## 10     CA        6      1    73  351.687   50.532       64  5.8627415
## 11     CA        7      1    68  269.887   14.710       53  5.5980034
## 12     CA       11      1    71  269.510   95.575       58  5.5966053
## 13     CA       12      0    52 1440.639 1089.570       49  7.2728419
## 14     CA       16      1    79  252.336   69.563       54  5.5307617
## 15     CA       19      0    50 1470.674 1548.193       54  7.2934761
## 16     CA       23      1    64  140.486  100.956       56  4.9451079
## 17     CA       24      1    72  191.334   15.449       65  5.2540207
## 18     CA       27      1    68  398.597   15.239       54  5.9879508
## 19     CA       30      1    60  460.622  382.111       53  6.1325779
## 20     CA       32      1    67  457.410   20.608       49  6.1255803
## 21     CA       34      1    63  227.098  149.886       50  5.4253817
## 22     CA       36      1    54  532.897  218.696       47  6.2783279
## 23     CA       37      0    64  122.839   13.558       68  4.8108745
## 24     CA       40      0    67 1110.126   47.746       68  7.0122290
## 25     CA       42      0    64  494.487   11.889       65  6.2035208
## 26     CO        1      1    70  217.503   26.040       61  5.3822126
## 27     CO        2      1    63  721.647   85.095       50  6.5815363
## 28     CO        3      1    78  482.789   17.936       46  6.1795797
## 29     CO        5      0    75  183.229    0.930       67  5.2107368
## 30     CO        6      0    63  636.204  489.303       57  6.4555192
## 31     CT        2      1    64  727.919  246.903       49  6.5901899
## 32     CT        4      0    72  372.680   44.410       57  5.9207201
## 33     CT        6      0    66  399.370  128.853       53  5.9898882
## 34     DE        1      1    68  371.747  184.712       43  5.9182134
## 35     FL        1      1    67  210.940   23.912       27  5.3515739
## 36     FL        4      0    50  313.415 1069.699       36  5.7475281
## 37     FL        6      0    54  408.292  503.654       61  6.0119824
## 38     FL       14      1    55  971.883  777.988       47  6.8792353
## 39     FL       19      1    72  337.596    4.907       41  5.8218498
## 40     GA        1      1    67  337.048   40.461       39  5.8202252
## 41     GA        4      1    60  516.737  696.301       41  6.2475343
## 42     GA        5      1    78  101.540    6.047       68  4.6204529
## 43     GA        6      0    59  838.708  358.354       67  6.7318625
## 44     GA        7      1    65  382.281   60.694       29  5.9461560
## 45     GA        9      1    63  405.040   64.400       29  6.0039859
## 46     GA       10      1    64  193.123    6.760       35  5.2633271
## 47     ID        2      1    63  502.083  206.960       33  6.2187653
## 48     IL        4      1    50  359.942  348.339       44  5.8859429
## 49     IL        5      1    61  165.144   48.940       48  5.1068177
## 50     IL        6      0    74  281.229   26.555       68  5.6391692
## 51     IL        9      1    66  122.900   28.324       61  4.8113708
## 52     IL       11      1    65  239.158   41.259       46  5.4771242
## 53     IL       17      1    65  471.233  124.133       53  6.1553526
## 54     IL       19      1    64  193.205   16.241       45  5.2637520
## 55     IL       20      1    69  251.634   57.708       49  5.5279756
## 56     IL       21      1    53  394.412   69.486       54  5.9773960
## 57     IN        2      1    53  444.422  332.880       35  6.0967746
## 58     IN        5      1    56  689.086  244.985       35  6.5353661
## 59     IN        6      0    73  333.723   11.743       69  5.8103113
## 60     IN        8      1    62  551.484  130.243       42  6.3126130
## 61     IN       10      1    61   35.786   24.919       51  3.5775568
## 62     IA        5      0    64  420.730  115.701       47  6.0419912
## 63     IA        6      0    64  523.108  175.951       50  6.2597880
## 64     KS        2      1    73  388.866  119.263       46  5.9632349
## 65     KS        3      0    74  234.583   13.483       54  5.4578094
## 66     KS        4      1    64  545.755  149.035       43  6.3021703
## 67     KY        2      1    61    8.397   84.102       41  2.1278746
## 68     KY        3      1    70  371.431    4.931       53  5.9173632
## 69     KY        4      0    74  468.870   23.636       65  6.1503253
## 70     KY        7      1    59  411.699  432.403       55  6.0202923
## 71     ME        2      0    66  202.317   68.390       55  5.3098359
## 72     MD        3      1    73  354.701   18.893       54  5.8712749
## 73     MA        4      1    60  343.097   34.368       57  5.8380132
## 74     MA        5      1    84  344.930   15.396       47  5.8433414
## 75     MA        6      1    70  337.199   63.013       50  5.8206735
## 76     MA       10      1    67  235.946  121.056       51  5.4636030
## 77     MI        2      0    54  876.779  750.493       58  6.7762551
## 78     MI        3      1    57  600.940  164.856       45  6.3984952
## 79     MI        4      0    71  323.829    8.577       63  5.7802157
## 80     MI        7      1    76  150.594    1.310       55  5.0145874
## 81     MI        8      1    72  128.400    2.188       50  4.8551502
## 82     MI        9      0    70  450.801   14.866       62  6.1110258
## 83     MI       11      0    60  680.819  415.660       52  6.5232964
## 84     MI       12      1    54  434.200  143.886       39  6.0735054
## 85     MI       14      1    63  137.560    3.537       44  4.9240603
## 86     MI       15      1    64  234.435    7.993       45  5.4571781
## 87     MI       18      1    23    9.459   77.103       30  2.2469666
## 88     MN        2      1    42  152.295  623.776       49  5.0258193
## 89     MN        4      0    28   35.789  216.172       39  3.5776405
## 90     MN        5      0    28   16.915  281.455       35  2.8282008
## 91     MN        6      0    35  100.941  320.219       49  4.6145363
## 92     MN        8      0    25    7.743  157.802       40  2.0467892
## 93     MO        3      0    37  202.524  512.206       53  5.3108582
## 94     MO        6      1    41  198.617  341.344       50  5.2913785
## 95     MO        7      1    47  215.064  338.125       39  5.3709354
## 96     MO        8      1    42  516.239  768.792       45  6.2465696
## 97     MO        9      0    32    9.565  210.841       55  2.2581105
## 98     MT        1      0    39   58.204  250.276       52  4.0639539
## 99     MT        2      1    45  394.102  380.928       46  5.9766097
## 100    NE        1      1    33   96.278  221.530       44  4.5672398
## 101    NE        2      0    49 1158.294  858.762       58  7.0547032
## 102    NV        1      0    36  147.891  652.199       58  4.9964757
## 103    NJ        3      0    48  981.865  678.647       63  6.8894539
## 104    NJ        4      1    34   53.964  252.823       45  3.9883173
## 105    NJ        6      0    38   38.919  123.632       54  3.6614826
## 106    NJ        9      0    32   57.260  403.059       54  4.0476022
## 107    NM        1      1    49  576.677  559.134       46  6.3572822
## 108    NM        3      0    27   41.669  267.633       46  3.7297573
## 109    NY        3      0    43   90.892  364.087       60  4.5096722
## 110    NY        5      1    35   35.627  337.792       44  3.5731037
## 111    NY       15      1    39  162.157  602.942       67  5.0885649
## 112    NY       17      0    16    2.851  170.567       22  1.0476699
## 113    NY       22      1    29   10.427  411.056       43  2.3443985
## 114    NY       23      0    38  174.790  273.505       44  5.1635852
## 115    NY       24      1    28   15.936  151.276       42  2.7685807
## 116    NY       27      1    43  645.123  594.965       48  6.4694409
## 117    NY       30      0    43  310.704  802.886       55  5.7388406
## 118    NY       31      1    47  453.462  688.382       44  6.1169114
## 119    NC        1      0    35   16.758   82.147       54  2.8188758
## 120    NC        4      0    42  745.726 1006.641       56  6.6143584
## 121    NC        5      0    47  718.015  756.115       60  6.5764904
## 122    NC        6      1    38  583.013  738.088       39  6.3682094
## 123    NC        8      0    48  242.782  581.888       62  5.4921641
## 124    NC       10      1    39   44.329  302.215       35  3.7916391
## 125    ND        1      0    29    1.154  143.210       57  0.1432342
## 126    OH        2      1    28   13.961  125.682       38  2.6362677
## 127    OH        6      1    26   43.485  884.754       36  3.7724161
## 128    OH        9      0    19   47.945  244.030       47  3.8700545
## 129    OH       11      0    38  860.766  561.070       56  6.7578225
## 130    OH       14      0    25   13.244  419.005       48  2.5835447
## 131    OH       15      1    25    6.682  211.963       38  1.8994174
## 132    OH       17      0    23    2.391   96.003       38  0.8717117
## 133    OH       19      0    30    0.522  226.086       55 -0.6500877
## 134    OK        1      1    48  253.585  484.585       39  5.5356989
## 135    OK        2      0    35   81.634  358.705       53  4.4022460
## 136    OK        5      1    28    0.302  318.822       33 -1.1973283
## 137    OR        4      0    28   58.563  279.809       46  4.0701032
## 138    PA        1      0    24    1.643  234.957       34  0.4965239
## 139    PA        3      0    37   23.101  250.480       52  3.1398759
## 140    PA        6      0    37   12.002  121.435       62  2.4850733
## 141    PA        7      1    32  203.582  507.360       40  5.3160686
## 142    PA        8      0    43  507.682 1089.612       62  6.2298551
## 143    PA       13      1    33   60.672  225.412       44  4.1054821
## 144    PA       15      1    43  355.016  752.332       45  5.8721628
## 145    PA       23      1    38  106.463  336.675       44  4.6677976
## 146    RI        1      1    44  801.289  385.402       58  6.6862216
## 147    SC        1      1    36   82.035  118.702       39  4.4071460
## 148    SC        3      0    46  354.575  641.429       67  5.8709197
## 149    SC        4      0    48  630.913 1143.351       68  6.4471679
## 150    SD        1      0    28  199.420  632.105       53  5.2954130
## 151    TN        6      0    24   12.623  454.346       61  2.5355206
## 152    TX        1      0    38   94.477  505.611       53  4.5483565
## 153    TX        5      0    39  179.201  646.218       50  5.1885080
## 154    TX        6      1    32   17.414  654.260       38  2.8572745
## 155    TX       13      0    48  476.220  384.738       64  6.1658797
## 156    TX       14      0    47  645.988  600.114       58  6.4707808
## 157    TX       23      0    35    6.365  187.302       51  1.8508142
## 158    TX       26      1    31  189.780  314.903       32  5.2458653
## 159    UT        1      1    40  391.928  426.902       28  5.9710784
## 160    UT        2      0    43  254.823  676.472       60  5.5405693
## 161    VA        1      1    27   30.302  284.702       40  3.4112136
## 162    VA       10      1    32  241.445  758.365       43  5.4866419
## 163    WA        1      1    45  625.926 1321.021       51  6.4392323
## 164    WA        3      0    50  354.142  684.206       49  5.8696980
##        lexpendB      shareA
## 1    2.16756701 97.40766907
## 2    5.99763775 60.88103867
## 3    1.12004757 97.01476288
## 4    3.26884627 92.40370178
## 5    4.09524441 72.61247253
## 6    3.06306386 96.38355255
## 7    5.26741982 78.22801971
## 8    2.04057074 98.80953217
## 9    2.95725131 96.97491455
## 10   3.92260695 87.43669128
## 11   2.68852758 94.83129120
## 12   4.55991125 73.82116699
## 13   6.99353838 56.93754959
## 14   4.24223280 78.38980865
## 15   7.34484386 48.71609116
## 16   4.61468458 58.18622971
## 17   2.73754430 92.52888489
## 18   2.72385788 96.31762695
## 19   5.94571114 54.65811920
## 20   3.02567935 95.68886566
## 21   5.00987482 60.24075317
## 22   5.38768244 70.90233612
## 23   2.60697675 90.05989838
## 24   3.86589527 95.87640381
## 25   2.47561359 97.65213776
## 26   3.25963378 89.30784607
## 27   4.44376850 89.45201874
## 28   2.88680983 96.41799164
## 29  -0.07257068 99.49500275
## 30   6.19298172 56.52599335
## 31   5.50899553 74.67198944
## 32   3.79346466 89.35241699
## 33   4.85867214 75.60632324
## 34   5.21879768 66.80581665
## 35   3.17438054 89.81826782
## 36   6.97513247 22.66009903
## 37   6.22188950 44.77151108
## 38   6.65671110 55.54026413
## 39   1.59066272 98.56731415
## 40   3.70033860 89.28211212
## 41   6.54578209 42.59858322
## 42   1.79956222 94.37943268
## 43   5.88152122 70.06387329
## 44   4.10584497 86.29854584
## 45   4.16511345 86.28152466
## 46   1.91102290 96.61801910
## 47   5.33252573 70.81136322
## 48   5.85317612 50.81909561
## 49   3.89059496 77.13981628
## 50   3.27921796 91.37219238
## 51   3.34370947 81.27017212
## 52   3.71986914 85.28655243
## 53   4.82135344 79.15013885
## 54   2.78753877 92.24573517
## 55   4.05539560 81.34491730
## 56   4.24112511 85.02127838
## 57   5.80778217 57.17494583
## 58   5.50119686 73.77233887
## 59   2.46325731 96.60082245
## 60   4.86940193 80.89514160
## 61   3.21563053 58.95066452
## 62   4.75100946 78.43133545
## 63   5.17020559 74.83030701
## 64   4.78133106 76.52899170
## 65   2.60142970 94.56475067
## 66   5.00418139 78.54963684
## 67   4.43203020  9.07793617
## 68   1.59554183 98.68982697
## 69   3.16277099 95.20087433
## 70   6.06935787 48.77360916
## 71   4.22522640 74.73652649
## 72   2.93879151 94.94290924
## 73   3.53712583 90.89505005
## 74   2.73410773 95.72720337
## 75   4.14334106 84.25509644
## 76   4.79625320 66.09095001
## 77   6.62073040 53.88029861
## 78   5.10507250 78.47259521
## 79   2.14908409 97.41972351
## 80   0.27002710 99.13761139
## 81   0.78298789 98.32450104
## 82   2.69907665 96.80758667
## 83   6.02986765 62.09138489
## 84   4.96902132 75.10993195
## 85   1.26327884 97.49321747
## 86   2.07856607 96.70294189
## 87   4.34514236 10.92742920
## 88   6.43579149 19.62384796
## 89   5.37607431 14.20418549
## 90   5.63997269  5.66913605
## 91   5.76900530 23.96737671
## 92   5.06134129  4.67727661
## 93   6.23872709 28.33573151
## 94   5.83289099 36.78358078
## 95   5.82341576 38.87712860
## 96   6.64482021 40.17327118
## 97   5.35110426  4.33972168
## 98   5.52256441 18.86799622
## 99   5.94261026 50.84990311
## 100  5.40055799 30.29438782
## 101  6.75549173 57.42498016
## 102  6.48034954 18.48429871
## 103  6.52010107 59.13025665
## 104  5.53268957 17.59005737
## 105  4.81730938 23.94264221
## 106  5.99908304 12.43920135
## 107  6.32638931 50.77226639
## 108  5.58961678 13.47194672
## 109  5.89739275 19.97718811
## 110  5.82243013  9.54075623
## 111  6.40182114 21.19425201
## 112  5.13912821  1.64400482
## 113  6.01872969  2.47388458
## 114  5.61132002 38.98995209
## 115  5.01910591  9.53041840
## 116  6.38850260 52.02235794
## 117  6.68821287 27.90111542
## 118  6.53434372 39.71313095
## 119  4.40851021 16.94353485
## 120  6.91437435 42.55535507
## 121  6.62819338 48.70771408
## 122  6.60406303 44.13084412
## 123  6.36627817 29.43989563
## 124  5.71113873 12.79174042
## 125  4.96431208  0.79936981
## 126  4.83375502  9.99763489
## 127  6.78530979  4.68467712
## 128  5.49729109 16.42092896
## 129  6.32984591 60.53905106
## 130  6.03788280  3.06397247
## 131  5.35641193  3.05609894
## 132  4.56437922  2.43002319
## 133  5.42091560  0.23035431
## 134  6.18329287 34.35319519
## 135  5.88250017 18.53889465
## 136  5.76463270  0.09463501
## 137  5.63410711 17.30728149
## 138  5.45940256  0.69441986
## 139  5.52337885  8.44393158
## 140  4.79937935  8.99450684
## 141  6.22922087 28.63552856
## 142  6.99357700 31.78388214
## 143  5.41792965 21.20775604
## 144  6.62317753 32.06002045
## 145  5.81911802 24.02479553
## 146  5.95428705 67.52296448
## 147  4.77661610 40.86690521
## 148  6.46369839 35.59975433
## 149  7.04171848 35.55913544
## 150  6.44905567 23.98244476
## 151  6.11885881  2.70317841
## 152  6.22576761 15.74385834
## 153  6.47113705 21.71030426
## 154  6.48350477  2.59262848
## 155  5.95256281 55.31280136
## 156  6.39711952 51.84069824
## 157  5.23272228  3.28656769
## 158  5.75226450 37.60380173
## 159  6.05655432 47.86439133
## 160  6.51689100 27.36222076
## 161  5.65144300  9.61956024
## 162  6.63116455 24.14908600
## 163  7.18616009 32.14910126
## 164  6.52825880 34.10629272
help(vote1)
## httpd yardım sunucusu başlatılıyor ... tamamlandı

oy1

Açıklama

Wooldridge Kaynak: M. Barone ve G. Ujifusa’dan, The Almanac of American Politics, 1992. Washington, DC: National Journal. Veriler geç yükleniyor.

Kullanım

veri(‘oy1’)

Biçim

10 değişken üzerinde 173 gözlem içeren bir data.frame:

eyalet: eyalet posta kodu

bölge: kongre bölgesi

democA: =1, eğer A demokratsa

oy A: A için oy yüzdesi

harcamakA: kamp. harcar. A tarafından, 1000$

harcamakB: kamp. harcar. B tarafından, 1000$

prtystrA: cumhurbaşkanı için oy yüzdesi

lexpendA: günlük(expendA)

lexpendB: günlük(expendB)

paylaşımA: 100*(expendA/(expendA+expendB))

coklureg <- lm(voteA~ expendA+expendB+prtystrA,data=vote1 )
summary(coklureg)
## 
## Call:
## lm(formula = voteA ~ expendA + expendB + prtystrA, data = vote1)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -26.661  -8.385   0.362   8.536  30.814 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 33.267190   4.416784   7.532 2.87e-12 ***
## expendA      0.034924   0.003369  10.365  < 2e-16 ***
## expendB     -0.034924   0.003001 -11.636  < 2e-16 ***
## prtystrA     0.342514   0.087952   3.894 0.000142 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.12 on 169 degrees of freedom
## Multiple R-squared:  0.5687, Adjusted R-squared:  0.561 
## F-statistic: 74.27 on 3 and 169 DF,  p-value: < 2.2e-16

\[ voteA=β0+β1log(1)+β2log(1)+β3prtystrA+u \] \[ voteA=33.267+0.035log(1)+(−0.035)log(1)+0.343prtystrA+u \]

Bu Sonuca göre A ve B’nin yaptığı harcamalar sonucu aynı oranda etkiler

IV-) (II)’deki hipotezi test etmek için t istatistiğini doğrudan veren bir model tahmin ediniz.Ne sonuca varırsınız?(İki taraflı alternatif kullanınız.)

reg <- lm(log(voteA)~ expendA+expendB+prtystrA,data = vote1)
summary(reg)
## 
## Call:
## lm(formula = log(voteA) ~ expendA + expendB + prtystrA, data = vote1)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.72557 -0.15588  0.01689  0.19425  0.67449 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  3.431e+00  9.919e-02  34.597  < 2e-16 ***
## expendA      7.985e-04  7.567e-05  10.553  < 2e-16 ***
## expendB     -6.769e-04  6.740e-05 -10.044  < 2e-16 ***
## prtystrA     7.776e-03  1.975e-03   3.937  0.00012 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.2497 on 169 degrees of freedom
## Multiple R-squared:  0.5437, Adjusted R-squared:  0.5356 
## F-statistic: 67.11 on 3 and 169 DF,  p-value: < 2.2e-16
qt(0.01,169)
## [1] -2.348615