Math Problem Statement
Compute the least-squares regression equation for the given data set. x values = 5, 7, 6, 2, 1. y values = 4, 3, 2, 5, 1
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Regression Analysis
Least-Squares Method
Formulas
Least-squares regression line formula: y = mx + b
Slope formula: m = Σ(x_i - x̄)(y_i - ȳ) / Σ(x_i - x̄)²
Intercept formula: b = ȳ - m * x̄
Theorems
Least-Squares Theorem
Suitable Grade Level
Grades 10-12
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