Explain P-Value Reporting and Bootstrap for Coefficient Estimation
Company: Voleon Group
Role: Data Scientist
Category: Statistics & Math
Difficulty: medium
Interview Round: Technical Screen
##### Scenario
Voleon DS tech round: statistical inference checks after regression.
##### Question
You observe a p-value printed as 0.000 for a coefficient. Is this possible? Why might software report it that way, and how do you communicate significance appropriately?
Follow-up: Explain how you would use bootstrapping to estimate the sampling distribution of this coefficient and relate the bootstrap expectation to the true population parameter.
##### Hints
Discuss numerical rounding, significance thresholds, reporting scientific notation, bootstrap resampling, bias and variance.
Quick Answer: This question evaluates a candidate's understanding of statistical inference for regression coefficients, specifically p-value interpretation and numerical reporting nuances, along with resampling-based coefficient estimation using bootstrapping.