library(wooldridge)
data("rdchem")
help("rdchem")
## démarrage du serveur d'aide httpd ... fini

starting httpd help server … done

rd: Ar-Ge harcamaları, milyonlar kârlar: kârlar, milyonlar satışlar: sabit satışlar, milyonlar

head(rdchem,5-10)
##        rd   sales profits rdintens   profmarg      salessq    lsales       lrd
## 1   430.6  4570.2   186.9 9.421906  4.0895362 2.088673e+07  8.427312 6.0651798
## 2    59.0  2830.0   467.0 2.084806 16.5017662 8.008900e+06  7.948032 4.0775375
## 3    23.5   596.8   107.4 3.937668 17.9959793 3.561702e+05  6.391582 3.1570003
## 4     3.5   133.6    -4.3 2.619760 -3.2185628 1.784896e+04  4.894850 1.2527629
## 5     1.7    42.0     8.0 4.047619 19.0476189 1.764000e+03  3.737670 0.5306283
## 6     8.4   390.0    47.3 2.153846 12.1282053 1.521000e+05  5.966147 2.1282318
## 7     2.5    93.9     0.9 2.662407  0.9584664 8.817210e+03  4.542231 0.9162908
## 8    39.9   907.9    77.4 4.394757  8.5251675 8.242824e+05  6.811134 3.6863763
## 9  1136.0 19773.0  2563.0 5.745208 12.9621201 3.909715e+08  9.892073 7.0352688
## 10 1428.0 39709.0  4154.0 3.596162 10.4611044 1.576805e+09 10.589334 7.2640300
## 11   45.3  2936.5    93.7 1.542653  3.1908734 8.623032e+06  7.984974 3.8133070
## 12   65.2  2513.8   355.4 2.593683 14.1379576 6.319191e+06  7.829551 4.1774592
## 13   20.3  1124.8    45.3 1.804765  4.0273824 1.265175e+06  7.025361 3.0106208
## 14   15.6   921.6     4.1 1.692708  0.4448785 8.493465e+05  6.826111 2.7472708
## 15   74.0  2432.6   132.4 3.042012  5.4427357 5.917543e+06  7.796716 4.3040652
## 16  147.5  6754.0   329.0 2.183891  4.8711872 4.561652e+07  8.817890 4.9938283
## 17   29.2  1066.3   289.9 2.738441 27.1874695 1.136996e+06  6.971950 3.3741686
## 18   92.2  3199.9   163.2 2.881340  5.1001596 1.023936e+07  8.070875 4.5239601
## 19    3.7   150.0    32.6 2.466667 21.7333317 2.250000e+04  5.010635 1.3083328
## 20   19.4   509.7    83.8 3.806160 16.4410439 2.597941e+05  6.233822 2.9652731
## 21   74.4  1452.7   271.2 5.121498 18.6686878 2.110337e+06  7.281179 4.3094559
## 22  612.0  8995.0   809.0 6.803780  8.9938850 8.091002e+07  9.104424 6.4167323
## 23   45.3  1212.3   215.0 3.736699 17.7348843 1.469671e+06  7.100275 3.8133070
## 24   11.0   906.6   154.8 1.213325 17.0747852 8.219235e+05  6.809701 2.3978953
## 25   66.0  2592.0   116.0 2.546296  4.4753084 6.718464e+06  7.860185 4.1896548
## 26   10.4   201.5    23.0 5.161290 11.4143925 4.060225e+04  5.305789 2.3418057
## 27   48.9  2617.8    60.5 1.867981  2.3111010 6.852877e+06  7.870090 3.8897774

rd sales profits rdintens profmarg salessq lsales lrd

1 430.6 4570.2 186.9 9.421906 4.0895362 2.088673e+07 8.427312 6.0651798

2 59.0 2830.0 467.0 2.084806 16.5017662 8.008900e+06 7.948032 4.0775375

3 23.5 596.8 107.4 3.937668 17.9959793 3.561702e+05 6.391582 3.1570003

4 3.5 133.6 -4.3 2.619760 -3.2185628 1.784896e+04 4.894850 1.2527629

5 1.7 42.0 8.0 4.047619 19.0476189 1.764000e+03 3.737670 0.5306283

6 8.4 390.0 47.3 2.153846 12.1282053 1.521000e+05 5.966147 2.1282318

7 2.5 93.9 0.9 2.662407 0.9584664 8.817210e+03 4.542231 0.9162908

8 39.9 907.9 77.4 4.394757 8.5251675 8.242824e+05 6.811134 3.6863763

9 1136.0 19773.0 2563.0 5.745208 12.9621201 3.909715e+08 9.892073 7.0352688

10 1428.0 39709.0 4154.0 3.596162 10.4611044 1.576805e+09 10.589334 7.2640300

11 45.3 2936.5 93.7 1.542653 3.1908734 8.623032e+06 7.984974 3.8133070

12 65.2 2513.8 355.4 2.593683 14.1379576 6.319191e+06 7.829551 4.1774592

13 20.3 1124.8 45.3 1.804765 4.0273824 1.265175e+06 7.025361 3.0106208

14 15.6 921.6 4.1 1.692708 0.4448785 8.493465e+05 6.826111 2.7472708

15 74.0 2432.6 132.4 3.042012 5.4427357 5.917543e+06 7.796716 4.3040652

16 147.5 6754.0 329.0 2.183891 4.8711872 4.561652e+07 8.817890 4.9938283

17 29.2 1066.3 289.9 2.738441 27.1874695 1.136996e+06 6.971950 3.3741686

18 92.2 3199.9 163.2 2.881340 5.1001596 1.023936e+07 8.070875 4.5239601

19 3.7 150.0 32.6 2.466667 21.7333317 2.250000e+04 5.010635 1.3083328

20 19.4 509.7 83.8 3.806160 16.4410439 2.597941e+05 6.233822 2.9652731

21 74.4 1452.7 271.2 5.121498 18.6686878 2.110337e+06 7.281179 4.3094559

22 612.0 8995.0 809.0 6.803780 8.9938850 8.091002e+07 9.104424 6.4167323

23 45.3 1212.3 215.0 3.736699 17.7348843 1.469671e+06 7.100275 3.8133070

24 11.0 906.6 154.8 1.213325 17.0747852 8.219235e+05 6.809701 2.3978953

25 66.0 2592.0 116.0 2.546296 4.4753084 6.718464e+06 7.860185 4.1896548

26 10.4 201.5 23.0 5.161290 11.4143925 4.060225e+04 5.305789 2.3418057

27 48.9 2617.8 60.5 1.867981 2.3111010 6.852877e+06 7.870090 3.8897774

RDCHEM=β0+β1rd+β2sales+u

2 , şimdi RDCHERM.RAW’daki veriyi kullanarak model tahmin ediniz. sales ile ilgili olarak rd’nin tahmin edilmiş esneklipi nedir ? bu esnekliğin ne anlama geldiğini bir değişle açıklayınız ? RDCHEM=430,6rd+4570,2sales+u ## rd: Ar-Ge harcamaları, milyonlar

rd: Ar-Ge harcamaları, milyonlar ve satışlar: sabit satışlar, milyonlar arasında pozitif bir ililki vardı , birini artıkça diğeride artmaktadır

soru 3,2 sayfa 111

library(wooldridge)
data("hprice1")
help("hprice1")
          price=β0+β1sqrft+β2bdrms+U
          
head(hprice1, 1-10)
##      price assess bdrms lotsize sqrft colonial   lprice  lassess  llotsize
## 1  300.000  349.1     4    6126  2438        1 5.703783 5.855359  8.720297
## 2  370.000  351.5     3    9903  2076        1 5.913503 5.862210  9.200593
## 3  191.000  217.7     3    5200  1374        0 5.252274 5.383118  8.556414
## 4  195.000  231.8     3    4600  1448        1 5.273000 5.445875  8.433811
## 5  373.000  319.1     4    6095  2514        1 5.921578 5.765504  8.715224
## 6  466.275  414.5     5    8566  2754        1 6.144775 6.027073  9.055556
## 7  332.500  367.8     3    9000  2067        1 5.806640 5.907539  9.104980
## 8  315.000  300.2     3    6210  1731        1 5.752573 5.704449  8.733916
## 9  206.000  236.1     3    6000  1767        0 5.327876 5.464255  8.699514
## 10 240.000  256.3     3    2892  1890        0 5.480639 5.546349  7.969704
## 11 285.000  314.0     4    6000  2336        1 5.652489 5.749393  8.699514
## 12 300.000  416.5     5    7047  2634        1 5.703783 6.031887  8.860357
## 13 405.000  434.0     3   12237  3375        1 6.003887 6.073044  9.412219
## 14 212.000  279.3     3    6460  1899        0 5.356586 5.632287  8.773385
## 15 265.000  287.5     3    6519  2312        1 5.579730 5.661223  8.782476
## 16 227.400  232.9     4    3597  1760        1 5.426711 5.450609  8.187856
## 17 240.000  303.8     4    5922  2000        0 5.480639 5.716370  8.686430
## 18 285.000  305.6     3    7123  1774        1 5.652489 5.722277  8.871084
## 19 268.000  266.7     3    5642  1376        1 5.590987 5.586124  8.637994
## 20 310.000  326.0     4    8602  1835        1 5.736572 5.786897  9.059750
## 21 266.000  294.3     3    5494  2048        1 5.583496 5.684599  8.611412
## 22 270.000  318.8     3    7800  2124        1 5.598422 5.764564  8.961879
## 23 225.000  294.2     3    6003  1768        0 5.416101 5.684260  8.700015
## 24 150.000  208.0     4    5218  1732        0 5.010635 5.337538  8.559870
## 25 247.000  239.7     3    9425  1440        1 5.509388 5.479388  9.151121
## 26 275.000  294.1     3    6114  1932        0 5.616771 5.683920  8.718336
## 27 230.000  267.4     3    6710  1932        0 5.438079 5.588746  8.811355
## 28 343.000  359.9     3    8577  2106        1 5.837730 5.885826  9.056840
## 29 477.500  478.1     7    8400  3529        1 6.168564 6.169820  9.035987
## 30 350.000  355.3     4    9773  2051        1 5.857933 5.872962  9.187379
## 31 230.000  217.8     4    4806  1573        1 5.438079 5.383577  8.477620
## 32 335.000  385.0     4   15086  2829        0 5.814130 5.953243  9.621523
## 33 251.000  224.3     3    5763  1630        1 5.525453 5.412984  8.659213
## 34 235.000  251.9     4    6383  1840        1 5.459586 5.529032  8.761394
## 35 361.000  354.9     4    9000  2066        1 5.888878 5.871836  9.104980
## 36 190.000  212.5     4    3500  1702        0 5.247024 5.358942  8.160519
## 37 360.000  452.4     4   10892  2750        1 5.886104 6.114567  9.295784
## 38 575.000  518.1     5   15634  3880        1 6.354370 6.250168  9.657204
## 39 209.001  289.4     4    6400  1854        1 5.342339 5.667810  8.764053
## 40 225.000  268.1     2    8880  1421        0 5.416101 5.591360  9.091557
## 41 246.000  278.5     3    6314  1662        1 5.505332 5.629418  8.750525
## 42 713.500  655.4     5   28231  3331        1 6.570182 6.485246 10.248176
## 43 248.000  273.3     4    7050  1656        1 5.513429 5.610570  8.860783
## 44 230.000  212.1     3    5305  1171        0 5.438079 5.357058  8.576406
## 45 375.000  354.0     5    6637  2293        1 5.926926 5.869297  8.800415
## 46 265.000  252.1     3    7834  1764        1 5.579730 5.529826  8.966228
## 47 313.000  324.0     3    1000  2768        0 5.746203 5.780744  6.907755
## 48 417.500  475.5     4    8112  3733        0 6.034285 6.164367  9.001100
## 49 253.000  256.8     3    5850  1536        1 5.533390 5.548297  8.674197
## 50 315.000  279.2     4    6660  1638        1 5.752573 5.631928  8.803875
## 51 264.000  313.9     3    6637  1972        1 5.575949 5.749074  8.800415
## 52 255.000  279.8     2   15267  1478        0 5.541264 5.634075  9.633449
## 53 210.000  198.7     3    5146  1408        1 5.347107 5.291796  8.545975
## 54 180.000  221.5     3    6017  1812        1 5.192957 5.400423  8.702344
## 55 250.000  268.4     3    8410  1722        1 5.521461 5.592478  9.037177
## 56 250.000  282.3     4    5625  1780        1 5.521461 5.642970  8.634976
## 57 209.000  230.7     4    5600  1674        1 5.342334 5.441118  8.630522
## 58 258.000  287.0     4    6525  1850        1 5.552959 5.659482  8.783396
## 59 289.000  298.7     3    6060  1925        1 5.666427 5.699440  8.709465
## 60 316.000  314.6     4    5539  2343        0 5.755742 5.751302  8.619569
## 61 225.000  291.0     3    7566  1567        0 5.416101 5.673323  8.931419
## 62 266.000  286.4     4    5484  1664        1 5.583496 5.657390  8.609590
## 63 310.000  253.6     6    5348  1386        1 5.736572 5.535758  8.584478
## 64 471.250  482.0     5   15834  2617        1 6.155389 6.177944  9.669915
## 65 335.000  384.3     4    8022  2321        1 5.814130 5.951424  8.989944
## 66 495.000  543.6     4   11966  2638        1 6.204558 6.298213  9.389825
## 67 279.500  336.5     4    8460  1915        1 5.633002 5.818598  9.043104
## 68 380.000  515.1     4   15105  2589        1 5.940171 6.244361  9.622781
## 69 325.000  437.0     4   10859  2709        0 5.783825 6.079933  9.292749
## 70 220.000  263.4     3    6300  1587        1 5.393628 5.573674  8.748305
## 71 215.000  300.4     3   11554  1694        0 5.370638 5.705115  9.354787
## 72 240.000  250.7     3    6000  1536        1 5.480639 5.524257  8.699514
## 73 725.000  708.6     5   31000  3662        0 6.586172 6.563291 10.341743
## 74 230.000  276.3     3    4054  1736        1 5.438079 5.621487  8.307459
## 75 306.000  388.6     2   20700  2205        0 5.723585 5.962551  9.937889
## 76 425.000  252.5     3    5525  1502        0 6.052089 5.531411  8.617039
## 77 318.000  295.2     4   92681  1696        1 5.762052 5.687653 11.436919
## 78 330.000  359.5     3    8178  2186        1 5.799093 5.884714  9.009203
## 79 246.000  276.2     4    5944  1928        1 5.505332 5.621125  8.690138
##      lsqrft
## 1  7.798934
## 2  7.638198
## 3  7.225482
## 4  7.277938
## 5  7.829630
## 6  7.920810
## 7  7.633853
## 8  7.456455
## 9  7.477038
## 10 7.544332
## 11 7.756196
## 12 7.876259
## 13 8.124150
## 14 7.549083
## 15 7.745868
## 16 7.473069
## 17 7.600903
## 18 7.480992
## 19 7.226936
## 20 7.514800
## 21 7.624619
## 22 7.661057
## 23 7.477604
## 24 7.457032
## 25 7.272398
## 26 7.566311
## 27 7.566311
## 28 7.652546
## 29 8.168770
## 30 7.626083
## 31 7.360740
## 32 7.947679
## 33 7.396335
## 34 7.517521
## 35 7.633369
## 36 7.439559
## 37 7.919356
## 38 8.263591
## 39 7.525101
## 40 7.259116
## 41 7.415777
## 42 8.111028
## 43 7.412160
## 44 7.065613
## 45 7.737616
## 46 7.475339
## 47 7.925880
## 48 8.224967
## 49 7.336937
## 50 7.401231
## 51 7.586803
## 52 7.298445
## 53 7.249926
## 54 7.502186
## 55 7.451241
## 56 7.484369
## 57 7.422971
## 58 7.522941
## 59 7.562681
## 60 7.759187
## 61 7.356918
## 62 7.416980
## 63 7.234177
## 64 7.869784
## 65 7.749753
## 66 7.877776
## 67 7.557473
## 68 7.859027
## 69 7.904335
## 70 7.369601
## 71 7.434848
## 72 7.336937
## 73 8.205765
## 74 7.459339
## 75 7.698483
## 76 7.314553
## 77 7.436028
## 78 7.689829
## 79 7.564239

price assess bdrms lotsize sqrft colonial lprice lassess llotsize

1 300.000 349.1 4 6126 2438 1 5.703783 5.855359 8.720297

2 370.000 351.5 3 9903 2076 1 5.913503 5.862210 9.200593

3 191.000 217.7 3 5200 1374 0 5.252274 5.383118 8.556414

4 195.000 231.8 3 4600 1448 1 5.273000 5.445875 8.433811

5 373.000 319.1 4 6095 2514 1 5.921578 5.765504 8.715224

6 466.275 414.5 5 8566 2754 1 6.144775 6.027073 9.055556

7 332.500 367.8 3 9000 2067 1 5.806640 5.907539 9.104980

8 315.000 300.2 3 6210 1731 1 5.752573 5.704449 8.733916

9 206.000 236.1 3 6000 1767 0 5.327876 5.464255 8.699514

10 240.000 256.3 3 2892 1890 0 5.480639 5.546349 7.969704

11 285.000 314.0 4 6000 2336 1 5.652489 5.749393 8.699514

12 300.000 416.5 5 7047 2634 1 5.703783 6.031887 8.860357

13 405.000 434.0 3 12237 3375 1 6.003887 6.073044 9.412219

14 212.000 279.3 3 6460 1899 0 5.356586 5.632287 8.773385

15 265.000 287.5 3 6519 2312 1 5.579730 5.661223 8.782476

16 227.400 232.9 4 3597 1760 1 5.426711 5.450609 8.187856

17 240.000 303.8 4 5922 2000 0 5.480639 5.716370 8.686430

18 285.000 305.6 3 7123 1774 1 5.652489 5.722277 8.871084

19 268.000 266.7 3 5642 1376 1 5.590987 5.586124 8.637994

20 310.000 326.0 4 8602 1835 1 5.736572 5.786897 9.059750

21 266.000 294.3 3 5494 2048 1 5.583496 5.684599 8.611412

22 270.000 318.8 3 7800 2124 1 5.598422 5.764564 8.961879

23 225.000 294.2 3 6003 1768 0 5.416101 5.684260 8.700015

24 150.000 208.0 4 5218 1732 0 5.010635 5.337538 8.559870

25 247.000 239.7 3 9425 1440 1 5.509388 5.479388 9.151121

26 275.000 294.1 3 6114 1932 0 5.616771 5.683920 8.718336

27 230.000 267.4 3 6710 1932 0 5.438079 5.588746 8.811355

28 343.000 359.9 3 8577 2106 1 5.837730 5.885826 9.056840

29 477.500 478.1 7 8400 3529 1 6.168564 6.169820 9.035987

30 350.000 355.3 4 9773 2051 1 5.857933 5.872962 9.187379

31 230.000 217.8 4 4806 1573 1 5.438079 5.383577 8.477620

32 335.000 385.0 4 15086 2829 0 5.814130 5.953243 9.621523

33 251.000 224.3 3 5763 1630 1 5.525453 5.412984 8.659213

34 235.000 251.9 4 6383 1840 1 5.459586 5.529032 8.761394

35 361.000 354.9 4 9000 2066 1 5.888878 5.871836 9.104980

36 190.000 212.5 4 3500 1702 0 5.247024 5.358942 8.160519

37 360.000 452.4 4 10892 2750 1 5.886104 6.114567 9.295784

38 575.000 518.1 5 15634 3880 1 6.354370 6.250168 9.657204

39 209.001 289.4 4 6400 1854 1 5.342339 5.667810 8.764053

40 225.000 268.1 2 8880 1421 0 5.416101 5.591360 9.091557

41 246.000 278.5 3 6314 1662 1 5.505332 5.629418 8.750525

42 713.500 655.4 5 28231 3331 1 6.570182 6.485246 10.248176

43 248.000 273.3 4 7050 1656 1 5.513429 5.610570 8.860783

44 230.000 212.1 3 5305 1171 0 5.438079 5.357058 8.576406

45 375.000 354.0 5 6637 2293 1 5.926926 5.869297 8.800415

46 265.000 252.1 3 7834 1764 1 5.579730 5.529826 8.966228

47 313.000 324.0 3 1000 2768 0 5.746203 5.780744 6.907755

48 417.500 475.5 4 8112 3733 0 6.034285 6.164367 9.001100

49 253.000 256.8 3 5850 1536 1 5.533390 5.548297 8.674197

50 315.000 279.2 4 6660 1638 1 5.752573 5.631928 8.803875

51 264.000 313.9 3 6637 1972 1 5.575949 5.749074 8.800415

52 255.000 279.8 2 15267 1478 0 5.541264 5.634075 9.633449

53 210.000 198.7 3 5146 1408 1 5.347107 5.291796 8.545975

54 180.000 221.5 3 6017 1812 1 5.192957 5.400423 8.702344

55 250.000 268.4 3 8410 1722 1 5.521461 5.592478 9.037177

56 250.000 282.3 4 5625 1780 1 5.521461 5.642970 8.634976

57 209.000 230.7 4 5600 1674 1 5.342334 5.441118 8.630522

58 258.000 287.0 4 6525 1850 1 5.552959 5.659482 8.783396

59 289.000 298.7 3 6060 1925 1 5.666427 5.699440 8.709465

60 316.000 314.6 4 5539 2343 0 5.755742 5.751302 8.619569

61 225.000 291.0 3 7566 1567 0 5.416101 5.673323 8.931419

62 266.000 286.4 4 5484 1664 1 5.583496 5.657390 8.609590

63 310.000 253.6 6 5348 1386 1 5.736572 5.535758 8.584478

64 471.250 482.0 5 15834 2617 1 6.155389 6.177944 9.669915

65 335.000 384.3 4 8022 2321 1 5.814130 5.951424 8.989944

66 495.000 543.6 4 11966 2638 1 6.204558 6.298213 9.389825

67 279.500 336.5 4 8460 1915 1 5.633002 5.818598 9.043104

68 380.000 515.1 4 15105 2589 1 5.940171 6.244361 9.622781

69 325.000 437.0 4 10859 2709 0 5.783825 6.079933 9.292749

70 220.000 263.4 3 6300 1587 1 5.393628 5.573674 8.748305

71 215.000 300.4 3 11554 1694 0 5.370638 5.705115 9.354787

72 240.000 250.7 3 6000 1536 1 5.480639 5.524257 8.699514

73 725.000 708.6 5 31000 3662 0 6.586172 6.563291 10.341743

74 230.000 276.3 3 4054 1736 1 5.438079 5.621487 8.307459

75 306.000 388.6 2 20700 2205 0 5.723585 5.962551 9.937889

76 425.000 252.5 3 5525 1502 0 6.052089 5.531411 8.617039

77 318.000 295.2 4 92681 1696 1 5.762052 5.687653 11.436919

78 330.000 359.5 3 8178 2186 1 5.799093 5.884714 9.009203

79 246.000 276.2 4 5944 1928 1 5.505332 5.621125 8.690138

lsqrft

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  1. denklem şekilde sonuçları yazalım price=12438sqrf+4bdrms+U #soru(ii) Ayak kare sabit tutalarak,yatak odası sayısı bir fazla olan bir ev için fiyatta tahmim edilen artış nedir

cevap fiyat: bir ev fiyatı, 1000 $

soru (iii) 140 ayak kare büyüklükte olan ek bir yatak odalı bir ev için fiyatta tahmin arış nedir ? cevap : bir ev 6126 ve ayak kare 140 olduğu zaman tahmii fiyat 6126*140 = 9257640 $ artmaktadır (iv) fiyattaki değişimin ne kadarlık yüzdesi ayak kare ve yatak odalarının sayısı ile açıklanmaktadır ? fiyattakı yüzde 1 birimlik artışı , yatak odaların sayısı ve ayak kare de o kadarına artmaktadır. soru(v) : örneklemdeki ilk eve ait değerler , sqrdt = 2438 ve bdrms = 4 tür . SEKK tegresyon doğrusundan bu ev için tahmin edilen satış fiyatını bulunz . cevap : bu ev için tahmin edilen satış değeri = 1000$