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Logistic Regression

What does AIC penalize?

1. A-Number of observations
2. B-Number of parameters
3. C-Residual variance
4. D-Mean leverage
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Which test compares nested logistic models?

1. A-Wald
2. B-Score
3. C-Likelihood-ratio
4. D-Lagrange
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Which link is canonical for binomial logistic regression?

1. A-Identity
2. B-Logit
3. C-Probit
4. D-Complementary log-log
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What is logistic regression used for?

1. A-Regression
2. B-Classification
3. C-Clustering
4. D-Dimensionality reduction
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What is the log-odds ratio in Logistic Regression?

1. A-The ratio of the probabilities of the two classes
2. B-The logarithm of the odds of the positive class
3. C-The logarithm of the odds of the negative class
4. D-The ratio of the odds of the positive class to the odds of the negative class
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Which of the following is NOT a method to handle class imbalance in Logistic Regression?

1. A-Undersampling the majority class
2. B-Oversampling the minority class
3. C-Using synthetic minority oversampling technique (SMOTE)
4. D-Assigning equal weights to each class during training
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What is the purpose of the threshold in Logistic Regression?

1. A-To determine the learning rate
2. B-To define the decision boundary between classes
3. C-To set the number of iterations for training
4. D-To adjust the sensitivity of the model
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Which optimization algorithm is commonly used to train Logistic Regression models?

1. A-Gradient Descent
2. B-K-means
3. C-Decision Tree
4. D-Support Vector Machine (SVM)
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What does the logistic function output for input values outside the range (-∞, +∞)?

1. A-Values between 0 and 1
2. B-Values between -1 and 1
3. C-Values between 0 and ∞
4. D-Values between -∞ and +∞
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What is the decision boundary in Logistic Regression?

1. A-The line that separates the data points into two classes
2. B-The line with the maximum slope
3. C-The line that minimizes the sum of squared errors
4. D-The line that intersects the most data points
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Which of the following evaluation metrics is commonly used for assessing the performance of Logistic Regression models?

1. A-Mean Squared Error (MSE)
2. B-R-squared (R2)
3. C-Accuracy, Precision, Recall, F1-score
4. D-Area Under the Receiver Operating Characteristic (ROC) Curve (AUC-ROC)
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What type of probability distribution does Logistic Regression assume for the target variable?

1. A-Gaussian distribution
2. B-Poisson distribution
3. C-Binomial distribution
4. D-Exponential distribution
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Which activation function is used in Logistic Regression?

1. A-ReLU
2. B-Sigmoid
3. C-Tanh
4. D-Softmax
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What is the primary objective of Logistic Regression in machine learning?

1. A-Predicting continuous numerical values
2. B-Classifying input data into discrete categories
3. C-Clustering similar data points together
4. D-Extracting features from raw data
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