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
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