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