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, find the projected test grade, to the nearest integer, for a student with a homework grade of 62.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Regression
Correlation
Statistics

Formulas

Linear regression equation: y = mx + b
Slope formula: m = (n(Σxy) - (Σx)(Σy)) / (n(Σx^2) - (Σx)^2)
Intercept formula: b = (Σy - m(Σx)) / n

Theorems

Least Squares Method

Suitable Grade Level

Grades 10-12