Math Problem Statement
Given the table data, plot the points, calculate the regression line using the least squares method, and construct the regression equation.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Least Squares Method
Graphical Representation
Formulas
Regression line: y = ax + b
Slope (a) = Σ((x - x̄)(y - ȳ)) / Σ((x - x̄)^2)
Intercept (b) = ȳ - a * x̄
Theorems
Least Squares Regression Theorem
Suitable Grade Level
Grades 11-12 or Introductory College Level
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