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Linear Regression
Linear Regression
Which metric is NOT affected by multicollinearity?
- A-R²
- B-SER
- C-Adjusted R²
- D-VIF
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Which plot detects heteroskedasticity in linear regression?
- A-Q-Q
- B-Residual vs Fitted
- C-Scale-Location
- D-DFBETAS
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Which assumption makes OLS unbiased?
- A-Normality
- B-Heteroskedasticity
- C-Zero conditional mean
- D-No multicollinearity
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- Data Science / Linear Regression
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What does linear regression model?
- A-Linear relationship between variables
- B-Non-linear relationship
- C-Categorical data
- D-Time series data
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What is the purpose of regularization techniques in Linear Regression?
- A-To increase bias and reduce variance
- B-To decrease bias and increase variance
- C-To penalize large coefficients and reduce overfitting
- D-To penalize small coefficients and increase overfitting
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Which of the following is NOT a method to handle overfitting in Linear Regression?
- A-Ridge Regression
- B-Lasso Regression
- C-Elastic Net Regression
- D-Decision Tree Regression
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What is multicollinearity in the context of Linear Regression?
- A-The presence of outliers in the data
- B-The relationship between the independent and dependent variables is not linear
- C-The presence of strong correlations among independent variables
- D-The assumption that the residuals are normally distributed
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In a simple Linear Regression model with one independent variable, what does the slope coefficient represent?
- A-The intercept of the regression line
- B-The change in the dependent variable for a one-unit change in the independent variable
- C-The average value of the dependent variable
- D-The standard deviation of the dependent variable
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What does the coefficient of determination (R-squared) measure in Linear Regression?
- A-The strength of the relationship between independent and dependent variables
- B-The slope of the regression line
- C-The proportion of variance in the dependent variable explained by the independent variables
- D-The intercept of the regression line
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Which algorithm is commonly used to optimize the parameters in Linear Regression?
- A-Gradient Descent
- B-K-means
- C-Decision Tree
- D-Support Vector Machine (SVM)
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What is the loss function typically used in Linear Regression?
- A-Cross-entropy loss
- B-Mean absolute error (MAE)
- C-Mean squared error (MSE)
- D-Hinge loss
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What does the term "line of best fit" refer to in Linear Regression?
- A-The line that passes through the origin
- B-The line with the maximum slope
- C-The line that minimizes the sum of squared errors
- D-The line that intersects the most data points
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Which of the following is a assumption of Linear Regression?
- A-The relationship between the independent and dependent variables is linear
- B-The data is normally distributed
- C-The data contains no outliers
- D-The number of features is greater than the number of samples
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What is the primary objective of Linear Regression in machine learning?
- A-Classification
- B-Clustering
- C-Prediction
- D-Feature extraction
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