Math Problem Statement
The percentage of students scoring 85 or better on a mathematics final exam and an English final exam during a recent school year for seven schools is shown in the table below.
Table containing values of percentage of students scoring 85 or better.
Write the linear regression equation for these data, rounding all values to the nearest hundredth.
State the correlation coefficient of the linear regression equation, to the nearest hundredth. Explain the meaning of this value in the context of these data.
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Solution
To provide a comprehensive solution, please upload the table or share its values directly. I’ll extract the data and compute the linear regression equation, correlation coefficient, and its interpretation.
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Tip: Linear regression finds the "line of best fit," showing how one variable predicts another!
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Correlation Coefficient
Statistics
Formulas
Linear regression equation: y = mx + b
Correlation coefficient formula: r = Σ((xi - x̄)(yi - ȳ)) / √(Σ(xi - x̄)²Σ(yi - ȳ)²)
Theorems
Least Squares Method for Regression
Suitable Grade Level
Grades 10-12
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