Statistical modelling
  • 1. Statistical modelling is a powerful tool used in various fields such as economics, biology, psychology, and more to analyze and interpret data. It involves the use of mathematical models to represent relationships between variables and make predictions or decisions based on observed data. By applying statistical techniques, researchers can uncover patterns, trends, and dependencies in the data, leading to valuable insights and informed decision-making. Through the process of model building, testing, and refinement, statistical modelling allows us to quantify uncertainty, validate hypotheses, and draw meaningful conclusions from complex datasets. Overall, statistical modelling plays a crucial role in advancing knowledge and understanding in numerous disciplines by providing a systematic framework for analyzing data and drawing reliable conclusions.

    What is the purpose of regression analysis in statistical modelling?
A) To summarize categorical data.
B) To examine the relationship between variables.
C) To create visual representations of data.
D) To calculate averages of numeric data.
  • 2. What does the term 'goodness of fit' refer to in statistical modelling?
A) The type of statistical test used.
B) The number of variables in the model.
C) How well the model fits the observed data.
D) The size of the dataset.
  • 3. Which of the following is an assumption of linear regression?
A) Independence of observations
B) Homoscedasticity
C) Normal distribution of residuals
D) Linearity
  • 4. In statistical modelling, what does the term 'overfitting' refer to?
A) When a model is too simple and lacks predictive power.
B) When a model is just right and generalizes well to unseen data.
C) When a model perfectly fits the training data but fails on new data.
D) When a model is too complex and captures noise in the data.
  • 5. Which type of statistical model is suitable for predicting binary outcomes?
A) Decision tree
B) PCA
C) ANOVA
D) Logistic regression
  • 6. What is the purpose of clustering in statistical modelling?
A) To create a single composite measure from multiple variables.
B) To group similar data points together based on patterns or features.
C) To investigate cause-and-effect relationships.
D) To plot data points in a two-dimensional space.
  • 7. What is a common method for validating a statistical model?
A) Cross-validation
B) Chi-square test
C) Regression analysis
D) Principal component analysis
  • 8. In statistical modelling, what is the purpose of feature engineering?
A) To fit the model exactly to the training data.
B) To create new input variables from existing data to improve model performance.
C) To remove all input variables except the most important one.
D) To automate the entire modelling process.
  • 9. What is the purpose of a confusion matrix in statistical modelling?
A) To test the linearity assumption in regression models.
B) To assess the goodness of fit in logistic regression.
C) To evaluate the performance of a classification model.
D) To summarize the distribution of a dataset.
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