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Understanding PCA Concepts

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

The PCA in data analysis stand for

a)

Principal Component Algorithm

b)

Primary Component Analysis

c)

Principal Coordinate Analysis

d)

Principal Component Analysis

2.

The primary purpose of PCA is

a)

To visualize data in three dimensions.

b)

The primary purpose of PCA is to reduce the dimensionality of data.

c)

To eliminate outliers from the dataset.

d)

To increase the dimensionality of data.

3.

How does PCA reduce the dimensionality of data?

a)

PCA reduces dimensionality by projecting data onto principal components that capture the most variance.

b)

PCA clusters data points into distinct groups without reducing dimensions.

c)

PCA reduces dimensionality by removing all features equally.

d)

PCA increases dimensionality by adding new features.

4.

The eigenvalue in the context of PCA

a)

Eigenvalues represent the number of principal components.

b)

Eigenvalues indicate the direction of the data points.

c)

Eigenvalues are the coefficients of the original variables.

d)

Eigenvalues in PCA indicate the variance explained by each principal component.

5.

The eigenvectors in PCA

a)

Eigenvectors indicate the directions of maximum variance in PCA.

b)

Eigenvectors represent the data points in PCA.

c)

Eigenvectors determine the number of principal components in PCA.

d)

Eigenvectors are used to calculate the mean of the data.

6.

Image Compression in Computer Vision
You have 1024-pixel grayscale images stored as feature vectors. An AI engineer applies PCA and keeps only 50 principal components. The main advantage is

a)

Faster model training with reduced storage requirements

b)

Increase in image sharpness

c)

Elimination of all noise from images

d)

Conversion of images to binary format

7.

IoT Sensor Data in Manufacturing
A factory collects 200 sensor readings every second. PCA is applied before anomaly detection. The primary benefit is

a)

Reduce redundant data and focus on major variance patterns

b)

Increase the number of sensors virtually

c)

Eliminate all faulty sensor readings

d)

Make the data binary for faster processing

8.

Marketing Analytics
A retail company has 60 customer metrics (age, spend patterns, preferences). After PCA, only 3 components are used for visualization. The purpose is

a)

To identify and visualize patterns in a lower-dimensional space

b)

To remove all irrelevant customers

c)

To increase data dimensionality for better clustering

d)

To guarantee higher customer retention

9.

Biomedical Signal Processing
EEG recordings have thousands of time-series points per patient. PCA is applied before feeding data to a neural network. What’s the main advantage?

a)

Minimize irrelevant noise and reduce computational cost

b)

Guarantee 100% disease detection accuracy

c)

Convert EEG signals into images

d)

Increase the amplitude of EEG signals

10.

Cybersecurity Network Traffic Analysis
Network logs have hundreds of features per connection. PCA is used before training an intrusion detection system. Why?

a)

Reduce dimensionality to speed up model training and avoid overfitting

b)

Encrypt the network traffic automatically

c)

Ensure all connections are safe

d)

Increase the variance artificially