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