Math Problem Statement
Find the least-squares
regression
line treating number of absences as the explanatory variable and the final exam score as the response variable.
ModifyingAbove y with caretyequals=enter your response herexplus+enter your response here
(Round to three decimal places as needed.) Number of absences, x Final exam score, y
0 90.2
1 87.2
2 82.9
3 80.7
4 77.9
5 73.9
6 64.5
7 71.6
8 65.4
9 65.7
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Statistics
Least Squares Method
Formulas
Least-squares regression line: ŷ = mx + b
Slope: m = Σ((x_i - x̄)(y_i - ȳ)) / Σ((x_i - x̄)^2)
Intercept: b = ȳ - m * x̄
Theorems
Least-Squares Regression
Suitable Grade Level
Grades 10-12
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