Math Problem Statement

Consider the data set {(2, 2), (3, 4), (5, 4)},

  1. Calculate the correlation coefficient r for this set of data.
  2. Explain what a correlation coefficient of r=1 would suggest about the data.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Linear Relationships

Formulas

Pearson correlation coefficient formula: r = (n∑xy - ∑x∑y) / sqrt((n∑x^2 - (∑x)^2)(n∑y^2 - (∑y)^2))

Theorems

Correlation Theorem
Properties of Linear Correlation

Suitable Grade Level

Grades 10-12