Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Ordinary Least Squares (OLS)
Maximum Likelihood Estimation (MLE)
Formulas
y_t = a + b * t + u_t
OLS: minimize Σ(y_t - (a + b * t))^2
MLE: log-likelihood for normally distributed errors u_t
Theorems
Gauss-Markov Theorem
Normal Equation
Maximum Likelihood Principle
Suitable Grade Level
University Level - Statistics/Econometrics
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