Case Study

Impact of an Outlier on OLS Coefficients

Based on the case study below, explain why the calculated regression line is a poor fit for the majority of the data. Your explanation should refer to the mathematical objective that the equation β^=(XTX)1XTy\hat{\beta} = (X^{T} X)^{-1} X^{T} y is designed to optimize.

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Updated 2025-10-06

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