library(mosaicCalc)
## Loading required package: mosaic
## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2
## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.
## 
## Attaching package: 'mosaic'
## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally
## The following object is masked from 'package:Matrix':
## 
##     mean
## The following object is masked from 'package:ggplot2':
## 
##     stat
## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var
## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum
## Loading required package: mosaicCore
## 
## Attaching package: 'mosaicCore'
## The following objects are masked from 'package:dplyr':
## 
##     count, tally
## 
## Attaching package: 'mosaicCalc'
## The following object is masked from 'package:stats':
## 
##     D

Proses pemilihan parameter untuk mencocokkan pengamatan disebut model fitting .

Sebagai ilustrasi, data dalam file “utilities.csv” mencatat suhu rata-rata setiap bulan (dalam derajat F) serta penggunaan gas alam bulanan (dalam kaki kubik, ccf).

Utils <- read.csv("http://www.mosaic-web.org/go/datasets/utilities.csv")
gf_point(ccf ~ temp, data = Utils) %>%
  gf_labs(y = "Natural gas usage (ccf/month)", 
          x = "Average outdoor temperature (F)")

Dengan data utilitas inputnya adalah suhu, suhu. Output yang akan dimodelkan adalah ccf. Untuk menyesuaikan fungsi model dengan data, dapat menuliskan rumus dengan nama input, parameter, dan output yang sesuai di tempat yang tepat:

f <- fitModel(ccf ~ A * temp + B, data = Utils)
Utilities$fitmodel <- f(Utilities$temp)
Utilities
##     month day year temp  kwh ccf thermsPerDay billingDays totalbill gasbill
## 1      12  29 1999   26  892 194          5.5          36    173.65  112.72
## 2       1  28 2000   18  533 164          5.6          30    139.18   95.88
## 3       2  26 2000   24  521 228          8.0          29    177.48  134.65
## 4       3  25 2000   41  554  16          0.6          28     61.27   15.32
## 5       4  28 2000   45  638  74          2.2          34    100.33   47.33
## 6       5  30 2000   60  700 129          4.1          32    153.32   89.87
## 7       6  24 2000   66  583  23          0.9          25     85.30   25.55
## 8       7  26 2000   72  935   0          0.0          32    102.44    8.08
## 9       8  24 2000   72  789  13          0.4          29     96.47   17.66
## 10      9  25 2000   64  864  17          0.5          32    104.86   21.39
## 11     10  24 2000   54  778  37          1.3          29    107.50   41.19
## 12     11  26 2000   37  617 123          3.8          33    150.13  102.52
## 13     12  27 2000   11  586 235          7.7          31    254.23  210.87
## 14      6  26 2001   70  160   1          0.1          10     31.55    3.42
## 15      7  26 2001   76  736   7          0.2          30     92.36   12.79
## 16      8  26 2001   75  923  15          0.5          31    114.95   18.10
## 17      9  25 2001   64  865  20          0.7          30    105.91   20.17
## 18     10  24 2001   51  828  44          1.6          29    107.58   32.38
## 19     11  26 2001   48 1046  79          2.4          33    134.50   53.60
## 20      1  28 2002   23  581 210          6.6          32    174.45  127.86
## 21      2  26 2002   28  551 178          6.2          29    147.06  102.85
## 22      3  27 2002   21  471 190          6.6          29    152.32  113.63
## 23      4  28 2002   45  449 106          3.3          32    106.04   70.34
## 24      5  28 2002   51  394  60          2.0          30     87.47   48.92
## 25      6  26 2002   69  496  23          0.8          29     76.43   23.42
## 26      7  28 2002   76  925  16          0.5          32    111.65   18.61
## 27      8  26 2002   72  812  15          0.5          29    101.39   17.56
## 28      9  25 2002   69  838  16          0.5          30     99.46   18.16
## 29     10  24 2002   47  790  69          2.4          29    122.51   55.74
## 30     11  24 2002   34  865 126          4.1          31    154.93   94.67
## 31     12  29 2002   25 1032 190          5.5          35    217.42  140.49
## 32      2  26 2003   17  580 224          7.8          29    232.41  187.05
## 33      3  27 2003   29  648 153          5.3          29    226.92  176.02
## 34      4  28 2003   46  503 100          3.2          32    127.07   86.83
## 35      5  28 2003   56  496  43          1.4          30     92.86   43.77
## 36      6  26 2003   67  722  18          0.6          29     99.52   24.46
## 37      7  28 2003   72  934  15          0.5          32    116.29   21.28
## 38      8  26 2003   75  869  14          0.5          29    108.04   19.56
## 39      9  25 2003   69  888  16          0.5          30    108.54   21.08
## 40     10  26 2003   53  927  48          1.5          31    127.37   45.28
## 41     11  24 2003   35  570 130          4.6          29    151.62  106.61
## 42     12  29 2003   25  725 204          5.9          35    225.73  168.93
## 43      1  28 2004   15  594 242          8.1          30    262.81  216.89
## 44      2  26 2004   16  563 216          7.6          29    239.60  193.45
## 45      3  28 2004   35  510 144          4.7          31    166.51  124.18
## 46      4  27 2004   48  709  78          2.6          30    120.08   65.67
## 47      5  26 2004   58  742  35          1.2          29    109.38   39.40
## 48      6  27 2004   64  911  18          0.6          32    119.65   25.14
## 49      7  27 2004   72  860   8          0.3          30    106.65   15.59
## 50      8  25 2004   67  841  15          0.5          29    111.08   21.72
## 51      9  26 2004   71  922  15          0.5          32    117.46   21.25
## 52     11  23 2004   43  860  82          2.8          29    160.26   88.51
## 53     12  28 2004   23 1160 208          6.0          35    317.47  224.18
## 54      1  27 2005   15  891 224          7.5          30    294.96  223.92
## 55      2  24 2005   29  557 166          6.0          28    213.71  166.63
## 56      3  29 2005   31  772 179          5.5          33    239.85  117.05
## 57      4  28 2005   54  444  61          2.0          30    103.34   64.99
## 58      5  26 2005   56  645  51          1.8          28    127.22   61.81
## 59      6  27 2005   72  939  19          0.6          32    131.02   27.30
## 60      7  27 2005   78  862  11          0.4          30    116.72   19.96
## 61      8  25 2005   74  845   9          0.3          29    120.53   18.16
## 62      9  26 2005   69  995  11          0.3          32    135.07   22.33
## 63     10  25 2005   56  965  32          1.1          29    150.62   55.74
## 64     11  27 2005   41  926  99          3.1          33    212.49  153.24
## 65     12  28 2005   21  931 176          5.8          31    324.52  240.90
## 66      1  29 2006   30  927 144          4.5          32    282.25  193.84
## 67      2  27 2006   22  876 161          5.6          29    289.91  198.11
## 68      3  28 2006   34  749 116          4.0          29    210.85  138.65
## 69      4  26 2006   53  428  52          1.8          29     96.87   55.00
## 70      5  25 2006   59  450  38          1.3          29     95.04   47.39
## 71      6  26 2006   74  694  10          0.3          32     98.48   19.19
## 72      7  26 2006   78  954   7          0.2          30    131.27   16.37
## 73      8  24 2006   77  957   6          0.2          29    134.96   15.88
## 74      9  25 2006   64 1027  15          0.5          32    156.51   25.74
## 75     10  24 2006   50  893  47          1.6          29    144.16   46.12
## 76     11  26 2006   41  663 101          3.1          33    168.24  106.54
## 77     12  27 2006   30  720 140          4.5          31    229.40  159.08
## 78      1  28 2007   24  897 168          5.3          32    267.72  178.16
## 79      2  26 2007   13  808 191          6.7          29    298.50  207.53
## 80      3  26 2007   38  724 101          3.6          29    192.67  118.78
## 81      4  26 2007   46  707  77          2.6          30    159.01   82.76
## 82      5  28 2007   65  442  18          0.6          32     86.54   32.98
## 83      6  26 2007   74  305   7          0.2          29     67.19   21.41
## 84      7  27 2007   76  839   9          0.3          30    135.73   22.87
## 85      8  26 2007   75  809   6          0.2          31    123.07   19.17
## 86      9  25 2007   68  812  13          0.4          30    117.82   24.54
## 87     10  24 2007   58  761  28          1.0          29    123.40   38.59
## 88     11  26 2007   41  767  98          3.0          33    181.53  104.52
## 89     12  27 2007   18  980 182          6.0          31    296.10  194.91
## 90      2  26 2008   15  804 191          6.7          29    292.12  207.32
## 91      3  27 2008   28  752 139          4.7          30    245.27  167.30
## 92      4  27 2008   45  623  79          2.6          31    160.69   97.11
## 93      5  27 2008   55  410  29          1.0          30    105.50   52.15
## 94      6  25 2008   68  196   6          0.2          29     53.92   20.97
## 95      7  27 2008   76  477  11          0.3          32     99.14   69.82
## 96      8  25 2008   75  544  12          0.4          29    103.28   26.83
## 97      9  25 2008   67  746  16          0.5          31    124.82   29.77
## 98     10  26 2008   55  801  32          1.1          31    134.30   41.74
## 99     11  24 2008   39  868  91          3.0          29    186.18   93.60
## 100    12  29 2008   18 1205 199          5.8          35    332.09  209.21
## 101     1  28 2009    9  986 211          7.2          30    330.27  225.72
## 102     2  26 2009   23  870 159          5.6          29    242.12  147.82
## 103     3  29 2009   32  830 134          4.4          31    207.96  114.66
## 104     4  28 2009   47  497  74          2.5          30    113.50   58.03
## 105     5  28 2009   61  436  34          1.2          30     93.09   37.33
## 106     6  28 2009   69  579  19          0.6          31    103.70   24.88
## 107     7  28 2009   71  734  15          0.5          30    122.70   22.86
## 108     8  28 2009   72  774  10          0.3          29    125.37   19.43
## 109     9  27 2009   69  909  18          0.6          32    142.82   23.72
## 110    10  26 2009   45  842  62          2.2          29    158.02   58.38
## 111    11  24 2009   46  826  67          2.3          29    153.68   61.46
## 112    12  30 2009   22 1213 188          5.4          36    283.69  131.49
## 113     1  28 2010   15  992 206          6.9          29    291.10  180.73
## 114     2  28 2010   20 1024 187          6.1          31    268.07  163.62
## 115     3  29 2010   41  923  95          3.3          29    181.82   79.15
## 116     4  27 2010   56  814  31          1.1          29    100.61   29.44
## 117     5  36 2010   60  941  31          1.1          29    151.57   38.29
##     elecbill                                                      notes
## 1      68.25                                                           
## 2      43.30                                                           
## 3      42.83                                                           
## 4      45.95                                          bad meter reading
## 5      53.00                                                           
## 6      63.45                                                           
## 7      59.75                                                           
## 8      94.36                                                           
## 9      78.81                                                           
## 10     83.47                                                           
## 11     66.31                                                           
## 12     47.61                                                           
## 13     46.59                                                           
## 14     17.43                                 transfer back from England
## 15     79.57                                                           
## 16     96.85                                                           
## 17     85.74                                                           
## 18     75.20                                                           
## 19     80.90                                                           
## 20     46.59                                                           
## 21     44.21                                                           
## 22     38.69                                                           
## 23     35.70                                                           
## 24     38.55                                                           
## 25     53.01                                                           
## 26     93.04                                                           
## 27     83.83                                                           
## 28     82.20                                                           
## 29     66.77                                                           
## 30     65.02                                                           
## 31     76.93                                                           
## 32     45.36                                                           
## 33     50.90                                                           
## 34     40.24                                                           
## 35     49.09                                                           
## 36     75.06                                                           
## 37     95.01                                                           
## 38     89.12                                                           
## 39     87.46                                                           
## 40     82.09                                                           
## 41     45.01                                                           
## 42     56.80                                                           
## 43     47.37                                                           
## 44     46.15                                                           
## 45     42.33                                                           
## 46     54.41                                                           
## 47     69.98                                                           
## 48     94.51                                                           
## 49     91.06                                                           
## 50     89.36                                                           
## 51     96.21                                                           
## 52     71.75                                                           
## 53     93.29                                                           
## 54     71.04                                                           
## 55     47.08                                                           
## 56     62.80                                                           
## 57     38.35                                                           
## 58     65.41                                                           
## 59    103.72                                                           
## 60     96.76 high efficiency gas furnace and gas water heater installed
## 61    102.37                                                           
## 62    112.74                                                           
## 63     94.88                                                           
## 64     84.75                                                           
## 65     83.62                                                           
## 66     90.28                                                           
## 67     91.80                                                           
## 68     72.20                                                           
## 69     41.87                                                           
## 70     47.65                                                           
## 71     79.32                               away for 10 days on vacation
## 72    114.90                                                           
## 73    119.30                                                           
## 74    130.77                                                           
## 75     98.04                                                           
## 76     62.72                                                           
## 77     70.32                                                           
## 78     89.97                                                           
## 79     90.97                                                           
## 80     73.89                                                           
## 81     76.25                                                           
## 82     53.56                                                           
## 83     45.78                                                           
## 84    112.99                                                           
## 85    103.90                                                           
## 86     98.90                              5.46 credit for "cost of gas"
## 87     85.81                                                           
## 88     77.01                                                           
## 89    101.19                                                           
## 90     84.80                                               housesitters
## 91     77.97                                               housesitters
## 92     63.58                                               housesitters
## 93     53.35                                               housesitters
## 94     32.95                                                empty house
## 95     29.32                                                empty house
## 96     76.45                                                           
## 97     95.05                                                           
## 98     92.56                                                           
## 99     92.58                                                           
## 100   122.88                                                           
## 101   104.55                                                           
## 102    94.30                                                           
## 103    93.30                                                           
## 104    55.47                                                           
## 105    55.76                                                           
## 106    78.82                                                           
## 107    99.84                                                           
## 108   105.94                                           Was this August?
## 109   119.10                                                           
## 110   102.52                                                           
## 111    92.22                                                           
## 112   152.20                                          estimated reading
## 113   110.37                                                           
## 114   114.02                                         9.57 escrow refund
## 115   102.67                                                           
## 116    95.22                                  24.05 interim elec refund
## 117   113.18                                                           
##       fitmodel
## 1   163.027680
## 2   190.741689
## 3   169.956182
## 4   111.063913
## 5    97.206909
## 6    45.243143
## 7    24.457636
## 8     3.672130
## 9     3.672130
## 10   31.386138
## 11   66.028649
## 12  124.920918
## 13  214.991446
## 14   10.600632
## 15  -10.184875
## 16   -6.720624
## 17   31.386138
## 18   76.421403
## 19   86.814156
## 20  173.420433
## 21  156.099178
## 22  180.348935
## 23   97.206909
## 24   76.421403
## 25   14.064883
## 26  -10.184875
## 27    3.672130
## 28   14.064883
## 29   90.278407
## 30  135.313671
## 31  166.491931
## 32  194.205940
## 33  152.634927
## 34   93.742658
## 35   59.100147
## 36   20.993385
## 37    3.672130
## 38   -6.720624
## 39   14.064883
## 40   69.492900
## 41  131.849420
## 42  166.491931
## 43  201.134442
## 44  197.670191
## 45  131.849420
## 46   86.814156
## 47   52.171645
## 48   31.386138
## 49    3.672130
## 50   20.993385
## 51    7.136381
## 52  104.135411
## 53  173.420433
## 54  201.134442
## 55  152.634927
## 56  145.706424
## 57   66.028649
## 58   59.100147
## 59    3.672130
## 60  -17.113377
## 61   -3.256372
## 62   14.064883
## 63   59.100147
## 64  111.063913
## 65  180.348935
## 66  149.170675
## 67  176.884684
## 68  135.313671
## 69   69.492900
## 70   48.707394
## 71   -3.256372
## 72  -17.113377
## 73  -13.649126
## 74   31.386138
## 75   79.885654
## 76  111.063913
## 77  149.170675
## 78  169.956182
## 79  208.062944
## 80  121.456667
## 81   93.742658
## 82   27.921887
## 83   -3.256372
## 84  -10.184875
## 85   -6.720624
## 86   17.529134
## 87   52.171645
## 88  111.063913
## 89  190.741689
## 90  201.134442
## 91  156.099178
## 92   97.206909
## 93   62.564398
## 94   17.529134
## 95  -10.184875
## 96   -6.720624
## 97   20.993385
## 98   62.564398
## 99  117.992416
## 100 190.741689
## 101 221.919948
## 102 173.420433
## 103 142.242173
## 104  90.278407
## 105  41.778892
## 106  14.064883
## 107   7.136381
## 108   3.672130
## 109  14.064883
## 110  97.206909
## 111  93.742658
## 112 176.884684
## 113 201.134442
## 114 183.813186
## 115 111.063913
## 116  59.100147
## 117  45.243143
gf_point(ccf ~ temp, data = Utils) %>%
  slice_plot(f(temp) ~ temp)

Dapat menambahkan fungsi lain ke dalam campuran. Misalnya, sqrt(temp)

f2 <- fitModel(
  ccf ~ A * temp + B + C *sqrt(temp),
  data = Utils)
gf_point(
  ccf ~ temp, data = Utils) %>%
  slice_plot(f2(temp) ~ temp)

Sebagai ilustrasi, data “used-hondas.csv”harga mobil Honda bekas.

Hondas <- read.csv("http://www.mosaic-web.org/go/datasets/used-hondas.csv")
head(Hondas)
##   Price Year Mileage Location Color Age
## 1 20746 2006   18394  St.Paul  Grey   1
## 2 19787 2007       8  St.Paul Black   0
## 3 17987 2005   39998  St.Paul  Grey   2
## 4 17588 2004   35882  St.Paul Black   3
## 5 16987 2004   25306  St.Paul  Grey   3
## 6 16987 2005   33399  St.Paul Black   2

model yang yang menggunakan kedua variabel:

carPrice1 <- fitModel(
  Price ~ A + B * Age + C * Mileage, data = Hondas
)

dapat memplot fungsi yang dipasang:

contour_plot(
  carPrice1(Age = age, Mileage = miles) ~ age + miles,
  domain(age=2:8, miles=range(0, 60000)))

Model yang agak lebih canggih mungkin mencakup apa yang disebut interaksi antara usia dan jarak tempuh, mengakui bahwa efek usia mungkin berbeda tergantung pada jarak tempuh.

carPrice2 <- fitModel(
  Price ~ A + B * Age + C * Mileage + D * Age * Mileage,
  data = Hondas)

memplot dengan cara biasa

contour_plot(
  carPrice2(Age=age, Mileage=miles) ~ age + miles,
  domain(age = range(0, 8), miles = range(0, 60000)))