Math Problem Statement

Which graph best shows data with a correlation closest to 0.3?

Solution

The question asks which graph shows a correlation closest to 0.3.

Correlation values range from -1 to 1, where:

  • 1 indicates a perfect positive linear relationship,
  • -1 indicates a perfect negative linear relationship,
  • 0 indicates no linear relationship,
  • And values near 0.3 indicate a weak but positive linear relationship.

Let's analyze each graph:

  • Graph A shows no clear pattern; the points are scattered, likely indicating a correlation near 0.
  • Graph B also shows scattered points without a clear trend, likely near 0.
  • Graph C shows points that follow a more noticeable linear pattern, but they seem scattered enough that the correlation might be low or slightly negative.
  • Graph D shows a moderately upward trend, meaning it is the best candidate for a weak positive correlation near 0.3.

Thus, Graph D best matches a correlation close to 0.3.

Would you like more details or have any further questions?

Here are 5 related questions:

  1. What is the interpretation of a correlation of -0.3?
  2. How does a correlation of 1 differ from a correlation of 0?
  3. Can correlation imply causation? Why or why not?
  4. What is the formula for calculating correlation between two variables?
  5. How would you describe a dataset with a correlation of 0?

Tip: A correlation value near 0 indicates very weak or no linear relationship between variables, while values near 1 or -1 indicate strong linear relationships.

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Math Problem Analysis

Mathematical Concepts

Correlation
Statistics
Linear Relationships

Formulas

Correlation coefficient formula

Theorems

Correlation properties

Suitable Grade Level

Grades 9-12