Statistical Modeling Quiz :Statistics Foundations (Meta Marketing Analytics Professional Certificate) Answers 2025
Question 1
Consider the assumptions in simple linear regression. What is the assumption of normality?
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❌ The independent variables do not affect one another.
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✅ The data creates a normal distribution.
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❌ The minimum sample is 20.
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❌ All independent variables have similar variance.
Question 2
Which one of the following is a modeling technique in clustering analysis?
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❌ I. Simple linear regression
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✅ II. K-means
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❌ III. Logistic regression
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❌ All of them
Question 3
In time series analysis, what does the assumption of dependence mean?
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✅ That the dependent variable depends on the independent variable.
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❌ That all the observations come from the same place.
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❌ That time must be one of the independent variables.
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❌ That the dependent variable does not change over time.
Question 4
In time series analysis, one of the independent variables must be time.
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❌ False
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✅ True
Question 5
What is the difference between a classification model and a regression model?
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❌ A classification model is used with numerical data, while a regression model works with qualitative variables.
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❌ A classification model predicts a quantitative variable, while a regression model predicts a qualitative variable.
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✅ A classification model predicts a qualitative variable, while a regression model predicts a quantitative variable.
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❌ A classification model is used with qualitative data, while a regression model works with categorical data.
Question 6
What is the assumption equal prior probability for K-means clustering?
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✅ That each cluster has the same probability of happening.
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❌ That each data value has the same probability of occurring.
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❌ That one of the clusters is more likely to occur than the others.
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❌ That each cluster has the same number of data points.
Question 7
In time series there are three assumptions: minimum sample size, dependence, and:
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❌ independence.
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❌ normality.
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✅ stationarity.
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❌ homogeneity.
Question 8
In time series analysis, what is the assumed minimum sample size if time is measured in quarters?
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✅ 40 quarters of information.
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❌ 50 quarters of information.
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❌ 100 quarters of information.
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❌ 4 quarters of information.
Question 9
Which of the following is an assumption in simple linear regression?
I. Independence
II. Sphericity
III. Dependence
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✅ I.
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❌ All of them are.
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❌ III.
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❌ II.
Question 10
Which of the following is a type of quantitative variable?
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❌ Dependent.
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❌ Categorical.
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❌ Independent.
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✅ Continuous.
🧾 Summary Table
| Q# | ✅ Correct Answer | Key Concept |
|---|---|---|
| 1 | The data creates a normal distribution | Normality assumption in regression |
| 2 | K-means | Clustering method |
| 3 | Dependent variable depends on independent variable | Dependence in time series |
| 4 | True | Time must be a variable |
| 5 | Classification → qualitative, Regression → quantitative | Model type difference |
| 6 | Each cluster has same probability | Equal prior probability |
| 7 | Stationarity | Constant mean/variance assumption |
| 8 | 40 quarters | Minimum sample size for time series |
| 9 | Independence | Regression assumption |
| 10 | Continuous | Quantitative variable type |