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 hundredth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 89.

Homework Grade (x)Test Grade (y)

7070

7575

7171

6161

7979

6969

6060

5454

8888

7878

9090

8181

7373

6262

8282

7575

5656

4747

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Algebra
Statistics

Formulas

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

Theorems

Least Squares Method

Suitable Grade Level

Grades 10-12