📚 Learning Guide
Matrix Decomposition Techniques
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How can Principal Component Analysis (PCA) enhance financial forecasting accuracy in a dataset with multiple correlated variables?

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Learning Path
Learning Path

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Choose the Best Answer

A

By reducing the dimensionality and retaining variance

B

By increasing the number of variables in the analysis

C

By eliminating outliers from the dataset

D

By creating more complex models

Understanding the Answer

Let's break down why this is correct

Answer

PCA turns many correlated financial variables into a few independent components, so the data become simpler to model. Because the new components are uncorrelated, forecasting models can focus on real signals instead of being misled by multicollinearity. The first few components usually capture most of the variation, letting you use fewer variables while keeping the essential information. For example, if a portfolio has daily returns for ten stocks that move together, PCA might produce one component that represents the overall market trend and another that captures sector‑specific movement. Using these components instead of the original ten stock returns in a forecast reduces overfitting and improves prediction accuracy.

Detailed Explanation

PCA looks for directions that hold the most variation in the data. Other options are incorrect because Some think adding more variables helps, but PCA actually removes variables; PCA does not automatically delete outliers.

Key Concepts

Principal Component Analysis (PCA)
Financial Forecasting
Topic

Matrix Decomposition Techniques

Difficulty

medium level question

Cognitive Level

understand

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