Principal Component Analysis (PCA) in ML Python - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the PCA class from scikit-learn.

ML Python

from sklearn.decomposition import [1]

Drag options to blanks, or click blank then click option'

APCA

BLinearRegression

CKMeans

DDecisionTreeClassifier

Attempts:

3 left

💡 Hint

Common Mistakes

Importing a different model class like LinearRegression or KMeans instead of PCA.

The PCA class is imported from sklearn.decomposition to perform Principal Component Analysis.

2fill in blank

medium

Complete the code to create a PCA object that reduces data to 2 components.

ML Python

pca = PCA(n_components=[1])

Drag options to blanks, or click blank then click option'

A1

B2

C3

D0

Attempts:

3 left

💡 Hint

Common Mistakes

Setting n_components to 0 or 1 when 2 components are needed.

Setting n_components=2 tells PCA to reduce the data to 2 principal components.

3fill in blank

hard

Fix the error in the code to fit PCA on the data array named 'data'.

ML Python

pca.fit([1])

Drag options to blanks, or click blank then click option'

Afit

Bdataset

Cpca

Ddata

Attempts:

3 left

💡 Hint

Common Mistakes

Passing the PCA object itself or a wrong variable name.

The fit method requires the data array as input. Here, the data is stored in the variable 'data'.

4fill in blank

hard

Fill both blanks to transform the data and store the result in 'pca_result'.

ML Python

pca_result = pca.[1]([2])

Drag options to blanks, or click blank then click option'

Atransform

Bfit_transform

Cdata

Dpca_result

Attempts:

3 left

💡 Hint

Common Mistakes

Using transform without fitting first or passing wrong variables.

fit_transform fits PCA on the data and returns the transformed data in one step.

5fill in blank

hard

Fill the two blanks to print the explained variance ratio of the first principal component.

ML Python

print(pca.[1][[2]])

Drag options to blanks, or click blank then click option'

Aexplained_variance_ratio_

C0

Dcomponents_

Attempts:

3 left

💡 Hint

Common Mistakes

Confusing components_ with explained_variance_ratio_ or missing the index.

explained_variance_ratio_ is the attribute that holds the fraction of total variance explained by each principal component. Index it with 0 to access the first component.

Practice

1. What is the main purpose of Principal Component Analysis (PCA) in machine learning?

easy

A. To reduce the number of features while keeping important information

B. To increase the number of features for better accuracy

C. To split data into training and testing sets

D. To normalize data by scaling features between 0 and 1

Solution

1. Step 1: Understand PCA's goal

   PCA aims to reduce many features into fewer main features without losing important information.

2. Step 2: Compare options with PCA's goal

   To reduce the number of features while keeping important information correctly states PCA reduces features while keeping key info. Other options describe different tasks.

3. Final Answer:

   To reduce the number of features while keeping important information -> Option A

4. Quick Check:

   PCA purpose = reduce features + keep info [OK]

Hint: PCA simplifies data by reducing features, not increasing them [OK]

Common Mistakes:

• Thinking PCA increases features
• Confusing PCA with data splitting
• Mixing PCA with data normalization

2. Which of the following is the correct way to import PCA from scikit-learn in Python?

easy

A. import PCA from sklearn.decomposition

B. import decomposition.PCA from sklearn

C. from sklearn import PCA

D. from sklearn.decomposition import PCA

Solution

1. Step 1: Recall correct import syntax for PCA

   In scikit-learn, PCA is in the decomposition module, imported as: from sklearn.decomposition import PCA.

2. Step 2: Check each option's syntax

   from sklearn.decomposition import PCA matches the correct Python import syntax. Others are invalid or incorrect.

3. Final Answer:

   from sklearn.decomposition import PCA -> Option D

4. Quick Check:

   Correct import = from sklearn.decomposition import PCA [OK]

Hint: Remember: PCA is in sklearn.decomposition module [OK]

Common Mistakes:

• Using wrong import order
• Trying to import PCA directly from sklearn
• Incorrect Python import syntax

3. Given the following Python code using PCA, what will be the shape of X_pca?

from sklearn.decomposition import PCA
import numpy as np
X = np.random.rand(100, 5)
pca = PCA(n_components=2)
X_pca = pca.fit_transform(X)

medium

A. (100, 5)

B. (2, 100)

C. (100, 2)

D. (5, 2)

Solution

1. Step 1: Understand input and PCA parameters

   Input X has shape (100 samples, 5 features). PCA is set to reduce to 2 components.

2. Step 2: Determine output shape after PCA transform

   fit_transform returns transformed data with shape (samples, n_components), so (100, 2).

3. Final Answer:

   (100, 2) -> Option C

4. Quick Check:

   Output shape = (samples, components) = (100, 2) [OK]

Hint: Output shape = (samples, n_components) after PCA transform [OK]

Common Mistakes:

• Confusing samples and features in output shape
• Mixing up n_components with original features
• Thinking PCA changes sample count

4. Identify the error in this PCA code snippet:

from sklearn.decomposition import PCA
import numpy as np
X = np.random.rand(50, 4)
pca = PCA(n_components=5)
X_pca = pca.fit_transform(X)

medium

A. n_components cannot be greater than number of features

B. Random data cannot be used with PCA

C. fit_transform should be called before PCA initialization

D. Import statement for PCA is incorrect

Solution

1. Step 1: Check PCA parameter n_components vs data features

   Data has 4 features, but n_components is set to 5, which is invalid.

2. Step 2: Validate other code parts

   Random data is fine, fit_transform is correctly called, and import is correct.

3. Final Answer:

   n_components cannot be greater than number of features -> Option A

4. Quick Check:

   n_components ≤ features = True [OK]

Hint: n_components must be ≤ number of original features [OK]

Common Mistakes:

• Setting n_components larger than features
• Misunderstanding fit_transform order
• Thinking random data is invalid

5. You have a dataset with 10 features and want to keep 95% of the variance using PCA. Which approach is best to choose the number of components?

hard

A. Set n_components=5 because it's half of 10 features

B. Set n_components=0.95 to keep 95% variance automatically

C. Set n_components=10 to keep all variance

D. Set n_components=1 to simplify data as much as possible

Solution

1. Step 1: Understand PCA's explained variance ratio parameter

   Setting n_components as a float between 0 and 1 tells PCA to select components to keep that fraction of variance.

2. Step 2: Evaluate options for keeping 95% variance

   Set n_components=0.95 to keep 95% variance automatically uses n_components=0.95, which automatically selects the right number of components. Others do not guarantee 95% variance.

3. Final Answer:

   Set n_components=0.95 to keep 95% variance automatically -> Option B

4. Quick Check:

   n_components=0.95 keeps 95% variance [OK]

Hint: Use n_components as float for variance ratio in PCA [OK]

Common Mistakes:

• Choosing fixed number without variance check
• Setting n_components too low or too high blindly
• Confusing number of features with variance percentage