Math Problem Statement

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)

Solution

The correlation coefficient between the given xx and yy values is approximately 0.986-0.986, rounded to three decimal places. This indicates a strong negative linear relationship between the two variables.

Would you like further explanation on correlation, or have any other questions?

Here are some related questions:

  1. What does a correlation coefficient of 0.986-0.986 signify in practical terms?
  2. How is the correlation coefficient calculated step by step?
  3. Can we predict future yy-values using this correlation coefficient?
  4. What is the difference between correlation and causation?
  5. How can outliers affect the correlation coefficient?

Tip: A strong negative correlation means that as one variable increases, the other decreases at nearly the same rate, but it doesn't imply causality.

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

Correlation Coefficient Formula: r = Σ[(X_i - X̄)(Y_i - Ȳ)] / sqrt[Σ(X_i - X̄)^2 * Σ(Y_i - Ȳ)^2]

Theorems

Pearson's Correlation Coefficient

Suitable Grade Level

Grades 9-12