Math Problem Statement

x y 10 128 13 127 17 115 19 108 21 101

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Correlation
Interpolation
Extrapolation
Data Visualization

Formulas

y = mx + b (Equation of a line)
m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2) (Slope of the line)
r = Σ(x - x̄)(y - ȳ) / sqrt(Σ(x - x̄)^2Σ(y - ȳ)^2) (Correlation coefficient)

Theorems

Least Squares Method
Pearson Correlation Coefficient

Suitable Grade Level

Grades 10-12