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ggplot geom_contour as background colour

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I am trying to plot the following data using ggplot

The data I have looks like:

# A tibble: 200 x 4
   svm   randomForest Petal.Length Sepal.Width
   <fct> <fct>               <dbl>       <dbl>
 1 0     0                    3           2   
 2 0     0                    3.02        2.01
 3 0     0                    3.04        2.02
 4 0     0                    3.06        2.03
 5 0     0                    3.08        2.04

This table should plot all the Petal.Length and Sepal.Width points using geom_contour and colour them according to the column svm.

I also have the iris dataset, called df where I plot the geom_points.

# A tibble: 100 x 5
   Sepal.Length Sepal.Width Petal.Length Petal.Width Species
          <dbl>       <dbl>        <dbl>       <dbl>   <int>
 1          7           3.2          4.7         1.4       0
 2          6.4         3.2          4.5         1.5       0
 3          6.9         3.1          4.9         1.5       0
 4          5.5         2.3          4           1.3       0

I try to plot the both data using:

ggplot() +
  geom_point(aes(x = Petal.Length, y = Sepal.Width, colour = svm),
             data = plt_Data) +
  geom_contour(aes(x = Petal.Length, y = Sepal.Width, z = as.numeric(as.character(svm))),
               bins = 2,
               data = plt_Data, size = 0.01) +
  geom_point(aes(x = Petal.Length, y = Sepal.Width, color = factor(Species)),
             size = 3,
             data = df) +
  geom_point(aes(x = Petal.Length, y = Sepal.Width),
             size = 3,
             shape = 1,
             data = df)

But I cannot seem to get the geom_contour working. I am hoping the plot will look something very loosly - similar to the following.

enter image description here

Where in my problem I have a 2 class-classification problem (as opposed to the image which is a multi class problem).

Data:

df <- structure(list(Sepal.Length = c(7, 6.4, 6.9, 5.5, 6.5, 5.7, 6.3, 
4.9, 6.6, 5.2, 5, 5.9, 6, 6.1, 5.6, 6.7, 5.6, 5.8, 6.2, 5.6, 
5.9, 6.1, 6.3, 6.1, 6.4, 6.6, 6.8, 6.7, 6, 5.7, 5.5, 5.5, 5.8, 
6, 5.4, 6, 6.7, 6.3, 5.6, 5.5, 5.5, 6.1, 5.8, 5, 5.6, 5.7, 5.7, 
6.2, 5.1, 5.7, 6.3, 5.8, 7.1, 6.3, 6.5, 7.6, 4.9, 7.3, 6.7, 7.2, 
6.5, 6.4, 6.8, 5.7, 5.8, 6.4, 6.5, 7.7, 7.7, 6, 6.9, 5.6, 7.7, 
6.3, 6.7, 7.2, 6.2, 6.1, 6.4, 7.2, 7.4, 7.9, 6.4, 6.3, 6.1, 7.7, 
6.3, 6.4, 6, 6.9, 6.7, 6.9, 5.8, 6.8, 6.7, 6.7, 6.3, 6.5, 6.2, 
5.9), Sepal.Width = c(3.2, 3.2, 3.1, 2.3, 2.8, 2.8, 3.3, 2.4, 
2.9, 2.7, 2, 3, 2.2, 2.9, 2.9, 3.1, 3, 2.7, 2.2, 2.5, 3.2, 2.8, 
2.5, 2.8, 2.9, 3, 2.8, 3, 2.9, 2.6, 2.4, 2.4, 2.7, 2.7, 3, 3.4, 
3.1, 2.3, 3, 2.5, 2.6, 3, 2.6, 2.3, 2.7, 3, 2.9, 2.9, 2.5, 2.8, 
3.3, 2.7, 3, 2.9, 3, 3, 2.5, 2.9, 2.5, 3.6, 3.2, 2.7, 3, 2.5, 
2.8, 3.2, 3, 3.8, 2.6, 2.2, 3.2, 2.8, 2.8, 2.7, 3.3, 3.2, 2.8, 
3, 2.8, 3, 2.8, 3.8, 2.8, 2.8, 2.6, 3, 3.4, 3.1, 3, 3.1, 3.1, 
3.1, 2.7, 3.2, 3.3, 3, 2.5, 3, 3.4, 3), Petal.Length = c(4.7, 
4.5, 4.9, 4, 4.6, 4.5, 4.7, 3.3, 4.6, 3.9, 3.5, 4.2, 4, 4.7, 
3.6, 4.4, 4.5, 4.1, 4.5, 3.9, 4.8, 4, 4.9, 4.7, 4.3, 4.4, 4.8, 
5, 4.5, 3.5, 3.8, 3.7, 3.9, 5.1, 4.5, 4.5, 4.7, 4.4, 4.1, 4, 
4.4, 4.6, 4, 3.3, 4.2, 4.2, 4.2, 4.3, 3, 4.1, 6, 5.1, 5.9, 5.6, 
5.8, 6.6, 4.5, 6.3, 5.8, 6.1, 5.1, 5.3, 5.5, 5, 5.1, 5.3, 5.5, 
6.7, 6.9, 5, 5.7, 4.9, 6.7, 4.9, 5.7, 6, 4.8, 4.9, 5.6, 5.8, 
6.1, 6.4, 5.6, 5.1, 5.6, 6.1, 5.6, 5.5, 4.8, 5.4, 5.6, 5.1, 5.1, 
5.9, 5.7, 5.2, 5, 5.2, 5.4, 5.1), Petal.Width = c(1.4, 1.5, 1.5, 
1.3, 1.5, 1.3, 1.6, 1, 1.3, 1.4, 1, 1.5, 1, 1.4, 1.3, 1.4, 1.5, 
1, 1.5, 1.1, 1.8, 1.3, 1.5, 1.2, 1.3, 1.4, 1.4, 1.7, 1.5, 1, 
1.1, 1, 1.2, 1.6, 1.5, 1.6, 1.5, 1.3, 1.3, 1.3, 1.2, 1.4, 1.2, 
1, 1.3, 1.2, 1.3, 1.3, 1.1, 1.3, 2.5, 1.9, 2.1, 1.8, 2.2, 2.1, 
1.7, 1.8, 1.8, 2.5, 2, 1.9, 2.1, 2, 2.4, 2.3, 1.8, 2.2, 2.3, 
1.5, 2.3, 2, 2, 1.8, 2.1, 1.8, 1.8, 1.8, 2.1, 1.6, 1.9, 2, 2.2, 
1.5, 1.4, 2.3, 2.4, 1.8, 1.8, 2.1, 2.4, 2.3, 1.9, 2.3, 2.5, 2.3, 
1.9, 2, 2.3, 1.8), Species = c(0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 
0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L)), row.names = c(NA, 
-100L), class = "data.frame")

Data:

plt_Data <- structure(list(svm = structure(c(`1` = 1L, `2` = 1L, `3` = 1L, 
`4` = 1L, `5` = 1L, `6` = 1L, `7` = 1L, `8` = 1L, `9` = 1L, `10` = 1L, 
`11` = 1L, `12` = 1L, `13` = 1L, `14` = 1L, `15` = 1L, `16` = 1L, 
`17` = 1L, `18` = 1L, `19` = 1L, `20` = 1L, `21` = 1L, `22` = 1L, 
`23` = 1L, `24` = 1L, `25` = 1L, `26` = 1L, `27` = 1L, `28` = 1L, 
`29` = 1L, `30` = 1L, `31` = 1L, `32` = 1L, `33` = 1L, `34` = 1L, 
`35` = 1L, `36` = 1L, `37` = 1L, `38` = 1L, `39` = 1L, `40` = 1L, 
`41` = 1L, `42` = 1L, `43` = 1L, `44` = 1L, `45` = 1L, `46` = 1L, 
`47` = 1L, `48` = 1L, `49` = 1L, `50` = 1L, `51` = 1L, `52` = 1L, 
`53` = 1L, `54` = 1L, `55` = 1L, `56` = 1L, `57` = 1L, `58` = 1L, 
`59` = 1L, `60` = 1L, `61` = 1L, `62` = 1L, `63` = 1L, `64` = 1L, 
`65` = 1L, `66` = 1L, `67` = 1L, `68` = 1L, `69` = 1L, `70` = 1L, 
`71` = 1L, `72` = 1L, `73` = 1L, `74` = 1L, `75` = 1L, `76` = 1L, 
`77` = 1L, `78` = 1L, `79` = 1L, `80` = 1L, `81` = 1L, `82` = 1L, 
`83` = 1L, `84` = 1L, `85` = 1L, `86` = 1L, `87` = 1L, `88` = 1L, 
`89` = 1L, `90` = 1L, `91` = 1L, `92` = 1L, `93` = 1L, `94` = 1L, 
`95` = 1L, `96` = 1L, `97` = 2L, `98` = 2L, `99` = 2L, `100` = 2L, 
`101` = 2L, `102` = 2L, `103` = 2L, `104` = 2L, `105` = 2L, `106` = 2L, 
`107` = 2L, `108` = 2L, `109` = 2L, `110` = 2L, `111` = 2L, `112` = 2L, 
`113` = 2L, `114` = 2L, `115` = 2L, `116` = 2L, `117` = 2L, `118` = 2L, 
`119` = 2L, `120` = 2L, `121` = 2L, `122` = 2L, `123` = 2L, `124` = 2L, 
`125` = 2L, `126` = 2L, `127` = 2L, `128` = 2L, `129` = 2L, `130` = 2L, 
`131` = 2L, `132` = 2L, `133` = 2L, `134` = 2L, `135` = 2L, `136` = 2L, 
`137` = 2L, `138` = 2L, `139` = 2L, `140` = 2L, `141` = 2L, `142` = 2L, 
`143` = 2L, `144` = 2L, `145` = 2L, `146` = 2L, `147` = 2L, `148` = 2L, 
`149` = 2L, `150` = 2L, `151` = 2L, `152` = 2L, `153` = 2L, `154` = 2L, 
`155` = 2L, `156` = 2L, `157` = 2L, `158` = 2L, `159` = 2L, `160` = 2L, 
`161` = 2L, `162` = 2L, `163` = 2L, `164` = 2L, `165` = 2L, `166` = 2L, 
`167` = 2L, `168` = 2L, `169` = 2L, `170` = 2L, `171` = 2L, `172` = 2L, 
`173` = 2L, `174` = 2L, `175` = 2L, `176` = 2L, `177` = 2L, `178` = 2L, 
`179` = 2L, `180` = 2L, `181` = 2L, `182` = 2L, `183` = 2L, `184` = 2L, 
`185` = 2L, `186` = 2L, `187` = 2L, `188` = 2L, `189` = 2L, `190` = 2L, 
`191` = 2L, `192` = 2L, `193` = 2L, `194` = 2L, `195` = 2L, `196` = 2L, 
`197` = 2L, `198` = 2L, `199` = 2L, `200` = 2L), .Label = c("0", 
"1"), class = "factor"), randomForest = structure(c(`1` = 1L, 
`2` = 1L, `3` = 1L, `4` = 1L, `5` = 1L, `6` = 1L, `7` = 1L, `8` = 1L, 
`9` = 1L, `10` = 1L, `11` = 1L, `12` = 1L, `13` = 1L, `14` = 1L, 
`15` = 1L, `16` = 1L, `17` = 1L, `18` = 1L, `19` = 1L, `20` = 1L, 
`21` = 1L, `22` = 1L, `23` = 1L, `24` = 1L, `25` = 1L, `26` = 1L, 
`27` = 1L, `28` = 1L, `29` = 1L, `30` = 1L, `31` = 1L, `32` = 1L, 
`33` = 1L, `34` = 1L, `35` = 1L, `36` = 1L, `37` = 1L, `38` = 1L, 
`39` = 1L, `40` = 1L, `41` = 1L, `42` = 1L, `43` = 1L, `44` = 1L, 
`45` = 1L, `46` = 1L, `47` = 1L, `48` = 1L, `49` = 1L, `50` = 1L, 
`51` = 1L, `52` = 1L, `53` = 1L, `54` = 1L, `55` = 1L, `56` = 1L, 
`57` = 1L, `58` = 1L, `59` = 1L, `60` = 1L, `61` = 1L, `62` = 1L, 
`63` = 1L, `64` = 1L, `65` = 1L, `66` = 1L, `67` = 1L, `68` = 1L, 
`69` = 1L, `70` = 1L, `71` = 1L, `72` = 1L, `73` = 1L, `74` = 1L, 
`75` = 1L, `76` = 1L, `77` = 1L, `78` = 1L, `79` = 1L, `80` = 1L, 
`81` = 1L, `82` = 1L, `83` = 1L, `84` = 1L, `85` = 1L, `86` = 1L, 
`87` = 1L, `88` = 1L, `89` = 1L, `90` = 1L, `91` = 2L, `92` = 2L, 
`93` = 2L, `94` = 2L, `95` = 1L, `96` = 2L, `97` = 2L, `98` = 2L, 
`99` = 2L, `100` = 2L, `101` = 2L, `102` = 2L, `103` = 2L, `104` = 2L, 
`105` = 2L, `106` = 2L, `107` = 2L, `108` = 2L, `109` = 2L, `110` = 2L, 
`111` = 2L, `112` = 2L, `113` = 2L, `114` = 2L, `115` = 2L, `116` = 2L, 
`117` = 2L, `118` = 2L, `119` = 2L, `120` = 2L, `121` = 2L, `122` = 2L, 
`123` = 2L, `124` = 2L, `125` = 2L, `126` = 2L, `127` = 2L, `128` = 2L, 
`129` = 2L, `130` = 2L, `131` = 2L, `132` = 2L, `133` = 2L, `134` = 2L, 
`135` = 2L, `136` = 2L, `137` = 2L, `138` = 2L, `139` = 2L, `140` = 2L, 
`141` = 2L, `142` = 2L, `143` = 2L, `144` = 2L, `145` = 2L, `146` = 2L, 
`147` = 2L, `148` = 2L, `149` = 2L, `150` = 2L, `151` = 2L, `152` = 2L, 
`153` = 2L, `154` = 2L, `155` = 2L, `156` = 2L, `157` = 2L, `158` = 2L, 
`159` = 2L, `160` = 2L, `161` = 2L, `162` = 2L, `163` = 2L, `164` = 2L, 
`165` = 2L, `166` = 2L, `167` = 2L, `168` = 2L, `169` = 2L, `170` = 2L, 
`171` = 2L, `172` = 2L, `173` = 2L, `174` = 2L, `175` = 2L, `176` = 2L, 
`177` = 2L, `178` = 2L, `179` = 2L, `180` = 2L, `181` = 2L, `182` = 2L, 
`183` = 2L, `184` = 2L, `185` = 2L, `186` = 2L, `187` = 2L, `188` = 2L, 
`189` = 2L, `190` = 2L, `191` = 2L, `192` = 2L, `193` = 2L, `194` = 2L, 
`195` = 2L, `196` = 2L, `197` = 2L, `198` = 2L, `199` = 2L, `200` = 2L
), .Label = c("0", "1"), class = "factor"), Petal.Length = c(3, 
3.01959798994975, 3.0391959798995, 3.05879396984925, 3.07839195979899, 
3.09798994974874, 3.11758793969849, 3.13718592964824, 3.15678391959799, 
3.17638190954774, 3.19597989949749, 3.21557788944724, 3.23517587939698, 
3.25477386934673, 3.27437185929648, 3.29396984924623, 3.31356783919598, 
3.33316582914573, 3.35276381909548, 3.37236180904523, 3.39195979899498, 
3.41155778894472, 3.43115577889447, 3.45075376884422, 3.47035175879397, 
3.48994974874372, 3.50954773869347, 3.52914572864322, 3.54874371859296, 
3.56834170854271, 3.58793969849246, 3.60753768844221, 3.62713567839196, 
3.64673366834171, 3.66633165829146, 3.68592964824121, 3.70552763819095, 
3.7251256281407, 3.74472361809045, 3.7643216080402, 3.78391959798995, 
3.8035175879397, 3.82311557788945, 3.8427135678392, 3.86231155778894, 
3.88190954773869, 3.90150753768844, 3.92110552763819, 3.94070351758794, 
3.96030150753769, 3.97989949748744, 3.99949748743719, 4.01909547738693, 
4.03869346733668, 4.05829145728643, 4.07788944723618, 4.09748743718593, 
4.11708542713568, 4.13668341708543, 4.15628140703518, 4.17587939698493, 
4.19547738693467, 4.21507537688442, 4.23467336683417, 4.25427135678392, 
4.27386934673367, 4.29346733668342, 4.31306532663317, 4.33266331658291, 
4.35226130653266, 4.37185929648241, 4.39145728643216, 4.41105527638191, 
4.43065326633166, 4.45025125628141, 4.46984924623116, 4.4894472361809, 
4.50904522613065, 4.5286432160804, 4.54824120603015, 4.5678391959799, 
4.58743718592965, 4.6070351758794, 4.62663316582915, 4.64623115577889, 
4.66582914572864, 4.68542713567839, 4.70502512562814, 4.72462311557789, 
4.74422110552764, 4.76381909547739, 4.78341708542714, 4.80301507537688, 
4.82261306532663, 4.84221105527638, 4.86180904522613, 4.88140703517588, 
4.90100502512563, 4.92060301507538, 4.94020100502513, 4.95979899497487, 
4.97939698492462, 4.99899497487437, 5.01859296482412, 5.03819095477387, 
5.05778894472362, 5.07738693467337, 5.09698492462312, 5.11658291457286, 
5.13618090452261, 5.15577889447236, 5.17537688442211, 5.19497487437186, 
5.21457286432161, 5.23417085427136, 5.25376884422111, 5.27336683417085, 
5.2929648241206, 5.31256281407035, 5.3321608040201, 5.35175879396985, 
5.3713567839196, 5.39095477386935, 5.4105527638191, 5.43015075376884, 
5.44974874371859, 5.46934673366834, 5.48894472361809, 5.50854271356784, 
5.52814070351759, 5.54773869346734, 5.56733668341709, 5.58693467336683, 
5.60653266331658, 5.62613065326633, 5.64572864321608, 5.66532663316583, 
5.68492462311558, 5.70452261306533, 5.72412060301508, 5.74371859296482, 
5.76331658291457, 5.78291457286432, 5.80251256281407, 5.82211055276382, 
5.84170854271357, 5.86130653266332, 5.88090452261306, 5.90050251256281, 
5.92010050251256, 5.93969849246231, 5.95929648241206, 5.97889447236181, 
5.99849246231156, 6.01809045226131, 6.03768844221106, 6.0572864321608, 
6.07688442211055, 6.0964824120603, 6.11608040201005, 6.1356783919598, 
6.15527638190955, 6.1748743718593, 6.19447236180905, 6.21407035175879, 
6.23366834170854, 6.25326633165829, 6.27286432160804, 6.29246231155779, 
6.31206030150754, 6.33165829145729, 6.35125628140704, 6.37085427135678, 
6.39045226130653, 6.41005025125628, 6.42964824120603, 6.44924623115578, 
6.46884422110553, 6.48844221105528, 6.50804020100503, 6.52763819095477, 
6.54723618090452, 6.56683417085427, 6.58643216080402, 6.60603015075377, 
6.62562814070352, 6.64522613065327, 6.66482412060301, 6.68442211055276, 
6.70402010050251, 6.72361809045226, 6.74321608040201, 6.76281407035176, 
6.78241206030151, 6.80201005025126, 6.821608040201, 6.84120603015075, 
6.8608040201005, 6.88040201005025, 6.9), Sepal.Width = c(2, 2.00904522613065, 
2.01809045226131, 2.02713567839196, 2.03618090452261, 2.04522613065327, 
2.05427135678392, 2.06331658291457, 2.07236180904523, 2.08140703517588, 
2.09045226130653, 2.09949748743719, 2.10854271356784, 2.11758793969849, 
2.12663316582915, 2.1356783919598, 2.14472361809045, 2.15376884422111, 
2.16281407035176, 2.17185929648241, 2.18090452261307, 2.18994974874372, 
2.19899497487437, 2.20804020100503, 2.21708542713568, 2.22613065326633, 
2.23517587939698, 2.24422110552764, 2.25326633165829, 2.26231155778894, 
2.2713567839196, 2.28040201005025, 2.2894472361809, 2.29849246231156, 
2.30753768844221, 2.31658291457286, 2.32562814070352, 2.33467336683417, 
2.34371859296482, 2.35276381909548, 2.36180904522613, 2.37085427135678, 
2.37989949748744, 2.38894472361809, 2.39798994974874, 2.4070351758794, 
2.41608040201005, 2.4251256281407, 2.43417085427136, 2.44321608040201, 
2.45226130653266, 2.46130653266332, 2.47035175879397, 2.47939698492462, 
2.48844221105528, 2.49748743718593, 2.50653266331658, 2.51557788944724, 
2.52462311557789, 2.53366834170854, 2.5427135678392, 2.55175879396985, 
2.5608040201005, 2.56984924623116, 2.57889447236181, 2.58793969849246, 
2.59698492462312, 2.60603015075377, 2.61507537688442, 2.62412060301508, 
2.63316582914573, 2.64221105527638, 2.65125628140704, 2.66030150753769, 
2.66934673366834, 2.67839195979899, 2.68743718592965, 2.6964824120603, 
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