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