Math Problem Statement

help

Help with matching correlation coefficients to their descriptions.

Solution

In the image, you are asked to match different correlation coefficients with their descriptions of correlation strength and direction.

Here’s how you should match them:

  1. -0.44: This is a negative correlation, but it's not very strong. It should match with weak negative correlation.
  2. +0.79: This is a relatively high positive correlation, indicating a strong relationship. It should match with strong positive correlation.
  3. -0.97: This is a very high negative correlation, meaning the variables are strongly related in a negative way. It should match with strong negative correlation.
  4. +0.31: This is a positive correlation, but it is not very strong. It should match with weak positive correlation.

Summary of Matches:

  • -0.44: Weak negative correlation
  • +0.79: Strong positive correlation
  • -0.97: Strong negative correlation
  • +0.31: Weak positive correlation

Would you like more details or have any questions? Here are five related questions for practice:

  1. What would be considered a perfect positive correlation?
  2. What value represents no correlation?
  3. How would you describe a correlation of +0.05?
  4. What does a negative correlation indicate about the relationship between two variables?
  5. Can a correlation value exceed 1 or be less than -1?

Tip:

When interpreting correlation values, remember that closer to ±1 indicates a stronger relationship, while values near 0 indicate weaker relationships.

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Positive and Negative Correlation

Formulas

Pearson's correlation coefficient formula: r = (Σ(xy) - ΣxΣy/n) / sqrt([Σ(x^2) - (Σx)^2/n][Σ(y^2) - (Σy)^2/n])

Theorems

Correlation Coefficient Interpretation

Suitable Grade Level

Grades 9-12