Tugas 1#

Misalkan kita memiliki data jumlah desa di Indonesia berdasarkan sensus Potensi Desa (PoDes) BPS dengan format csv. Untuk mengetahui isi dari data tersebut, kita memerlukan library: CSV dan DataFrames. Sebelumnya pastikan library tersebut sudah di tambahkan ke dalam Julia dengan perintah: ] add CSV dan add DataFrames.

Pertanyaan

Terapkan cari fungsi interpolasi Polynomial dan interpolasi Lagrange dari permasalahan di atas. Code harus memuat plot data dan plot fungsinya.

Load data#

using CSV
using DataFrames
using Plots

data = DataFrame(CSV.File("./pertemuan_4.1/dataset/podes.csv")) # download data di link yang terdapat di soal
first(data,6)

ArgumentError: "./pertemuan_4.1/dataset/podes.csv" is not a valid file or doesn't exist

Stacktrace:
 [1] CSV.Context(source::CSV.Arg, header::CSV.Arg, normalizenames::CSV.Arg, datarow::CSV.Arg, skipto::CSV.Arg, footerskip::CSV.Arg, transpose::CSV.Arg, comment::CSV.Arg, ignoreemptyrows::CSV.Arg, ignoreemptylines::CSV.Arg, select::CSV.Arg, drop::CSV.Arg, limit::CSV.Arg, buffer_in_memory::CSV.Arg, threaded::CSV.Arg, ntasks::CSV.Arg, tasks::CSV.Arg, rows_to_check::CSV.Arg, lines_to_check::CSV.Arg, missingstrings::CSV.Arg, missingstring::CSV.Arg, delim::CSV.Arg, ignorerepeated::CSV.Arg, quoted::CSV.Arg, quotechar::CSV.Arg, openquotechar::CSV.Arg, closequotechar::CSV.Arg, escapechar::CSV.Arg, dateformat::CSV.Arg, dateformats::CSV.Arg, decimal::CSV.Arg, groupmark::CSV.Arg, truestrings::CSV.Arg, falsestrings::CSV.Arg, stripwhitespace::CSV.Arg, type::CSV.Arg, types::CSV.Arg, typemap::CSV.Arg, pool::CSV.Arg, downcast::CSV.Arg, lazystrings::CSV.Arg, stringtype::CSV.Arg, strict::CSV.Arg, silencewarnings::CSV.Arg, maxwarnings::CSV.Arg, debug::CSV.Arg, parsingdebug::CSV.Arg, validate::CSV.Arg, streaming::CSV.Arg)
   @ CSV ~/.julia/packages/CSV/OnldF/src/context.jl:314
 [2] #File#32
   @ ~/.julia/packages/CSV/OnldF/src/file.jl:222 [inlined]
 [3] CSV.File(source::String)
   @ CSV ~/.julia/packages/CSV/OnldF/src/file.jl:162
 [4] top-level scope
   @ In[2]:1

data[1, 3:end]
DataFrameRow (6 columns)
Row200320052008201120142018
Int64?Int64?Int64?Int64?Int64?Int64?
1474951684845374536303187
x = Array{Float64}(data[1, 3:end])

6-element Vector{Float64}:
 4749.0
 5168.0
 4845.0
 3745.0
 3630.0
 3187.0

cols = names(data)
cols = cols[3:end]

6-element Vector{String}:
 "2003"
 "2005"
 "2008"
 "2011"
 "2014"
 "2018"

y = [parse(Float64, cols[i]) for i=1:6]

6-element Vector{Float64}:
 2003.0
 2005.0
 2008.0
 2011.0
 2014.0
 2018.0

Plot#

t = y .- 2003

6-element Vector{Float64}:
  0.0
  2.0
  5.0
  8.0
 11.0
 15.0

scatter(t, x, label="aktual",
    xlabel="sejak tahun 2003",
    ylabel="jumlah desa (ribu)",
    title="Jumlah desa di Indonesia"
)

Code untuk interpolasi polynomial#

Code untuk interpolasi Lagrange#

Plot hasil interpolasi polynomial dan Lagrange#