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