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 31. Homework Grade (x) Test Grade (y) 58 57 62 60 84 79 70 69 80 67 82 81 83 78
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Algebra
Formulas
Linear Regression Equation: y = mx + b
Slope Formula: m = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)
Intercept Formula: b = ȳ - m x̄
Estimation Formula: x = (y - b) / m
Theorems
Linear Regression Theory
Suitable Grade Level
Grades 10-12
Related Recommendation
Linear Regression of Homework and Test Grades with Projection
Linear Regression for Predicting Test Scores Based on Study Hours
Find the Regression Line Equation and Predict Scores Based on Study Hours
Predicting Final Exam Scores Using Linear Regression
Understanding the Linear Regression Equation: y = 22.51x + 63.54