Pattern Recognition Lecture 2: Linear Regression II

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Questions and Answers

What is the purpose of the Gradient Descent algorithm in linear regression?

  • To minimize the cost function (correct)
  • To add noise to the data
  • To make the model more complex
  • To maximize the cost function

In the context of linear regression, what does J(θ₀,θ₁) represent?

  • The cost function (correct)
  • The learning rate
  • The parameters of the model
  • The number of iterations

How does the learning rate affect the Gradient Descent algorithm?

  • Learning rate determines the number of iterations
  • Higher learning rate leads to faster convergence (correct)
  • Lower learning rate leads to faster convergence
  • Learning rate has no impact on convergence

What is the relationship between the parameters θ₀ and θ₁ in linear regression?

<p>θ₀ represents the intercept and θ₁ represents the slope (B)</p>
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Which function does the Gradient Descent algorithm aim to optimize in linear regression?

<p>Cost function (A)</p>
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What is the significance of iterations in the Gradient Descent algorithm for linear regression?

<p>Iterations are needed to update the parameters towards convergence (D)</p>
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Which concept relates to finding the 'elbow' in linear regression?

<p>'Bowel-shaped' function (B)</p>
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How does adjusting the model parameters impact linear regression?

<p>It improves the cost function (A)</p>
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What is a key characteristic of a good learning rate in Gradient Descent for linear regression?

<p>High learning rate for stable convergence (C)</p>
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In linear regression, what is primarily updated during each iteration of the Gradient Descent algorithm?

<p>The model parameters like slope and intercept (D)</p>
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