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Questions and Answers
What is the purpose of the gradient descent algorithm in the context of linear regression?
What is the purpose of the gradient descent algorithm in the context of linear regression?
- To visualize the cost function of the linear regression model
- To compare the performance of different linear regression models
- To generate random data for the linear regression model
- To optimize the parameters of the linear regression model (correct)
What does the cost function $J(\theta_0, \theta_1)$ represent in the context of linear regression?
What does the cost function $J(\theta_0, \theta_1)$ represent in the context of linear regression?
- The learning rate used in the gradient descent algorithm
- The sum of the squared differences between the predicted and actual outputs (correct)
- The difference between the predicted and actual outputs
- The predicted output of the linear regression model
What is the purpose of the update step in the gradient descent algorithm for linear regression?
What is the purpose of the update step in the gradient descent algorithm for linear regression?
- To update the learning rate used in the gradient descent algorithm
- To update the input data for the linear regression model
- To update the cost function of the linear regression model
- To update the parameters of the linear regression model (correct)
What is the relationship between the cost function $J(\theta_0, \theta_1)$ and the parameters $\theta_0$ and $\theta_1$ in the context of linear regression?
What is the relationship between the cost function $J(\theta_0, \theta_1)$ and the parameters $\theta_0$ and $\theta_1$ in the context of linear regression?
What is the role of the learning rate in the gradient descent algorithm for linear regression?
What is the role of the learning rate in the gradient descent algorithm for linear regression?
What is the main difference between the cost function $J(\theta_0, \theta_1)$ and the parameters $\theta_0$ and $\theta_1$ in the context of linear regression?
What is the main difference between the cost function $J(\theta_0, \theta_1)$ and the parameters $\theta_0$ and $\theta_1$ in the context of linear regression?
What happens if the learning rate α is too large in gradient descent?
What happens if the learning rate α is too large in gradient descent?
What is the effect of a small learning rate α on the convergence of gradient descent?
What is the effect of a small learning rate α on the convergence of gradient descent?
How can you choose a good value for the learning rate α in gradient descent?
How can you choose a good value for the learning rate α in gradient descent?
What happens to the step size of gradient descent as it approaches a local minimum?
What happens to the step size of gradient descent as it approaches a local minimum?
What is the main advantage of not decreasing the learning rate α over time in gradient descent?
What is the main advantage of not decreasing the learning rate α over time in gradient descent?
What is the purpose of the Cost Function in linear regression?
What is the purpose of the Cost Function in linear regression?
What does the parameter θ1 represent in linear regression?
What does the parameter θ1 represent in linear regression?
What is the main goal of Gradient Descent in machine learning?
What is the main goal of Gradient Descent in machine learning?
What does 'α' represent in the Gradient Descent algorithm?
What does 'α' represent in the Gradient Descent algorithm?
How are parameters updated in Gradient Descent?
How are parameters updated in Gradient Descent?
What happens if the learning rate 'α' in Gradient Descent is too small?
What happens if the learning rate 'α' in Gradient Descent is too small?
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