Statistics

Practice problems for Statistics

• Chi-Square Test for Independence: Compute the Statistic
• Confidence Interval Width Scaling with Sample Size
• Multiple Regression: Interpreting a Partial Effect
• Sample Size for a Desired Margin of Error (Proportion)
• Type I/II Errors: Compute Test Power
• AR(1) Autocorrelation at Lag 3
• Bayesian Coin Updating
• CLT Bounds: Berry–Esseen Sample Size
• Expected Heads in 100 Coin Flips
• LLN Rate: Chebyshev Sample Size Requirement
• MLE for a Poisson Rate Parameter
• Multicollinearity Effects in Regression
• Order Statistics: Probability the Maximum is Below a Threshold
• Regression Diagnostics: Test for Heteroskedasticity
• Sufficient Statistic for Exponential Rate
• Time Series Stationarity: AR(1) Condition
• Conditional Expectation of Gaussian Given Sum Constraint
• Effect of Duplicating Data in Linear Regression
• Pattern Recognition: Find Next Term
• Quick Mental Math: 0.01-Wide Interval for 3/12
• R-Squared Symmetry: Regressing Y on X vs X on Y
• Valid Range of Common Correlation for Three Random Variables
• Maximum R² from Combined Predictors
• MGF of an Exponential Random Variable