Math Problem Statement
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 69.
Homework Grade (x)Test Grade (y)
7777
6464
7676
7676
6060
5959
7272
5757
7979
7070
7979
6464
7575
7777
7272
777
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Correlation
Statistics
Formulas
Linear Regression Formula: y = mx + b
Slope formula: m = Σ[(x_i - x̄)(y_i - ȳ)] / Σ(x_i - x̄)^2
Intercept formula: b = ȳ - m * x̄
Theorems
Least Squares Method
Suitable Grade Level
Grades 10-12
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