Math Problem Statement
new data x = [5, 10, 15, 20, 25] y = [10, 18,25,30,33]
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Correlation
Descriptive Statistics
Formulas
Linear regression formula: y = mx + b
Correlation coefficient formula: r = Σ((x - x̄)(y - ȳ)) / sqrt(Σ(x - x̄)^2 * Σ(y - ȳ)^2)
Mean formula: x̄ = Σx / n
Standard deviation formula: σ = sqrt(Σ(x - x̄)^2 / n)
Theorems
Least Squares Method
Pearson Correlation Coefficient
Suitable Grade Level
Grades 10-12