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Alt text source: @allison_horst https://github.com/allisonhorst/penguins

You have been asked to support a team of researchers who have been collecting data about penguins in Antartica! The data is available in csv-Format as penguins.csv

Origin of this data : Data were collected and made available by Dr. Kristen Gorman and the Palmer Station, Antarctica LTER, a member of the Long Term Ecological Research Network.

The dataset consists of 5 columns.

ColumnDescription
culmen_length_mmculmen length (mm)
culmen_depth_mmculmen depth (mm)
flipper_length_mmflipper length (mm)
body_mass_gbody mass (g)
sexpenguin sex

Unfortunately, they have not been able to record the species of penguin, but they know that there are at least three species that are native to the region: Adelie, Chinstrap, and Gentoo. Your task is to apply your data science skills to help them identify groups in the dataset!

# Import Required Packages
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.cluster import KMeans
from sklearn.preprocessing import StandardScaler

# Loading and examining the dataset
penguins_df = pd.read_csv("penguins.csv")
penguins_df.head()
import numpy as  np
from sklearn.manifold import TSNE
# check data for missing values

penguins_df.isna().sum()
# convert gender to dummy variable
df1 = pd.get_dummies(penguins_df['sex'])

penguins_df2 = penguins_df.drop(columns = 'sex')

penguins_df2 = pd.concat([penguins_df2, df1], axis=1)

penguins_df2.head
features_num = penguins_df2.drop(columns = ['FEMALE', 'MALE']).values

print(features_num)

Scaled data

scaler = StandardScaler()

features_num_scaled = scaler.fit_transform(features_num)
# use t-SNE to get estimate of number of clusters
# Create a TSNE instance: model
model = TSNE(learning_rate = 200)

# Apply fit_transform to samples: tsne_features
tsne_features = model.fit_transform(features_num_scaled)

# Select the 0th feature: xs
xs = tsne_features[:,0]

# Select the 1st feature: ys
ys = tsne_features[:,1]

# Scatter plot
plt.scatter(xs, ys)
plt.show()

it seems there are at least 2 clusters based on numeric features only. Likely 3 clusters.

KMeans

# use kmeans inertia elbow plot to check how many clusters are there
ks = range(1, 6)
inertias = []

for k in ks:
    model = KMeans (n_clusters = k)
    
    model.fit(features_num_scaled)
    
    inertias.append(model.inertia_)
    
# Plot ks vs inertias
plt.plot(ks, inertias, '-o')
plt.xlabel('number of clusters, k')
plt.ylabel('inertia')
plt.xticks(ks)
plt.show()

Inertia seems to slow decreasing after 3 clusters. Let's go with 3.

The model