NIM : 220605110070

KELAS : C

MATKUL : KALKULUS

DOSEN PENGAMPU : Prof.Dr.Suhartono,M.Kom

JURUSAN : TEKNIK INFORMATIKA

LEMBAGA : UNIVERSITAS ISLAM NEGERI MAULANA MALIK IBRAHIM MALANG

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

#pertimbangkan beberapa data sederhana. Kumpulan data Loblollyberisi 84 pengukuran usia dan tinggi pinus loblolly.

gf_point(height ~ age, data=datasets::Loblolly)

dataup1 = datasets::Loblolly
dataup1
##    height age Seed
## 1    4.51   3  301
## 15  10.89   5  301
## 29  28.72  10  301
## 43  41.74  15  301
## 57  52.70  20  301
## 71  60.92  25  301
## 2    4.55   3  303
## 16  10.92   5  303
## 30  29.07  10  303
## 44  42.83  15  303
## 58  53.88  20  303
## 72  63.39  25  303
## 3    4.79   3  305
## 17  11.37   5  305
## 31  30.21  10  305
## 45  44.40  15  305
## 59  55.82  20  305
## 73  64.10  25  305
## 4    3.91   3  307
## 18   9.48   5  307
## 32  25.66  10  307
## 46  39.07  15  307
## 60  50.78  20  307
## 74  59.07  25  307
## 5    4.81   3  309
## 19  11.20   5  309
## 33  28.66  10  309
## 47  41.66  15  309
## 61  53.31  20  309
## 75  63.05  25  309
## 6    3.88   3  311
## 20   9.40   5  311
## 34  25.99  10  311
## 48  39.55  15  311
## 62  51.46  20  311
## 76  59.64  25  311
## 7    4.32   3  315
## 21  10.43   5  315
## 35  27.16  10  315
## 49  40.85  15  315
## 63  51.33  20  315
## 77  60.07  25  315
## 8    4.57   3  319
## 22  10.57   5  319
## 36  27.90  10  319
## 50  41.13  15  319
## 64  52.43  20  319
## 78  60.69  25  319
## 9    3.77   3  321
## 23   9.03   5  321
## 37  25.45  10  321
## 51  38.98  15  321
## 65  49.76  20  321
## 79  60.28  25  321
## 10   4.33   3  323
## 24  10.79   5  323
## 38  28.97  10  323
## 52  42.44  15  323
## 66  53.17  20  323
## 80  61.62  25  323
## 11   4.38   3  325
## 25  10.48   5  325
## 39  27.93  10  325
## 53  40.20  15  325
## 67  50.06  20  325
## 81  58.49  25  325
## 12   4.12   3  327
## 26   9.92   5  327
## 40  26.54  10  327
## 54  37.82  15  327
## 68  48.43  20  327
## 82  56.81  25  327
## 13   3.93   3  329
## 27   9.34   5  329
## 41  26.08  10  329
## 55  37.79  15  329
## 69  48.31  20  329
## 83  56.43  25  329
## 14   3.46   3  331
## 28   9.05   5  331
## 42  25.85  10  331
## 56  39.15  15  331
## 70  49.12  20  331
## 84  59.49  25  331
library("xlsx")
write.xlsx(dataup1,"... lobolly.xls")
library("readxl")
baca_xls = read_excel("... lobolly.xls")
## New names:
## • `` -> `...1`
baca_xls
## # A tibble: 84 × 4
##    ...1  height   age Seed 
##    <chr>  <dbl> <dbl> <chr>
##  1 1       4.51     3 301  
##  2 15     10.9      5 301  
##  3 29     28.7     10 301  
##  4 43     41.7     15 301  
##  5 57     52.7     20 301  
##  6 71     60.9     25 301  
##  7 2       4.55     3 303  
##  8 16     10.9      5 303  
##  9 30     29.1     10 303  
## 10 44     42.8     15 303  
## # … with 74 more rows

#1. Sebuah “spline kubik”, yang mengikuti kelompok titik data dan kurva dengan mulus dan anggun.

f1 <- spliner(height ~ age, data = datasets::Loblolly)
## Warning in regularize.values(x, y, ties, missing(ties)): collapsing to unique
## 'x' values
f1 
## function (age, deriv = 0) 
## {
##     x <- get(fnames[2])
##     if (connect) 
##         SF(x)
##     else SF(x, deriv = deriv)
## }
## <environment: 0x00000177d40aad88>

#2. Sebuah “interpolant linier”, yang menghubungkan kelompok titik data dengan garis lurus.

f2 <- connector(height ~ age, data = datasets::Loblolly)
## Warning in regularize.values(x, y, ties, missing(ties), na.rm = na.rm):
## collapsing to unique 'x' values
f2
## function (age) 
## {
##     x <- get(fnames[2])
##     if (connect) 
##         SF(x)
##     else SF(x, deriv = deriv)
## }
## <environment: 0x00000177d44c5500>

#Anda dapat membuat grafiknya:

library(dplyr)
library(mosaicCalc)
gf_point(height ~ age, data = datasets::Loblolly) %>%
  slice_plot(f1(age) ~ age, color = "blue") %>%
  slice_plot(f2(age) ~ age, color = "red")

library(mosaicCalc)
gf_point(Seed ~ age, data=datasets::Loblolly)

#Anda bahkan dapat “menyelesaikan” mereka, misalnya menemukan usia di mana ketinggian akan menjadi 35 kaki:

findZeros(f1(age) - 35 ~ age, xlim=range(0,30))
##       age
## 1 12.6905
findZeros(f2(age) - 35 ~ age, xlim=range(0,30))
##    age
## 1 12.9

#bila data tidak dibagi menjadi kelompok-kelompok terpisah, seperti data pinus loblolly. Misalnya, trees.csvkumpulan data adalah pengukuran volume, ketebalan, dan tinggi pohon ceri hitam.

Cherry <- datasets::trees
gf_point(Volume ~ Girth, data = Cherry)

#Cukup mudah untuk membuat spline atau konektor linier:

g1 = spliner(Volume ~ Girth, data = Cherry)
## Warning in regularize.values(x, y, ties, missing(ties)): collapsing to unique
## 'x' values
g2 = connector(Volume ~ Girth, data = Cherry)
## Warning in regularize.values(x, y, ties, missing(ties), na.rm = na.rm):
## collapsing to unique 'x' values
slice_plot(g1(x) ~ x, domain(x = 8:18)) %>%
  slice_plot(g2(x) ~ x, color ="pink") %>%
  gf_point(Volume ~ Girth, data = Cherry) %>%
  gf_labs(x = "Girth (inches)")

#fungsi mulus lebih tepat daripada fungsi dengan banyak pasang surut, jenis fungsi yang berbeda sesuai: lebih halus.

g3 <- smoother(Volume ~ Girth, data = Cherry, span=1.5)
gf_point(Volume~Girth, data=Cherry) %>%
  slice_plot(g3(Girth) ~ Girth) %>%
  gf_labs(x = "Girth (inches)")

#membangun fungsi smooth yang mendekati data. Anda memiliki kendali atas seberapa mulus fungsi tersebut. Parameter hiper span mengatur ini:

g4 <- smoother(Volume ~ Girth, data=Cherry, span=1.0)
gf_point(Volume~Girth, data = Cherry) %>%
  slice_plot(g4(Girth) ~ Girth) %>%
  gf_labs(x = "Girth (inches)", y = "Wood volume")

#Smoother melakukan ini dengan sangat baik; cukup tentukan variabel mana yang akan menjadi input.

g5 <- smoother(Volume ~ Girth+Height, 
               data = Cherry, span = 1.0)
gf_point(Height ~ Girth, data = Cherry) %>%
  contour_plot(g5(Girth, Height) ~ Girth + Height) %>%
  gf_labs(x = "Girth (inches)", 
          y = "Height (ft)", 
          title = "Volume (ft^3)")

#menentukan rentang yang sesuaa dengan data yang menjadi dasar fungsi,Anda dapat menemukan ini dengan range() perintah, misalnya

range(Cherry$Height)
## [1] 63 87

Sumber Referensi : https://dtkaplan.github.io/RforCalculus/graphing-functions.html