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

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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