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Data Handling and Analysis

Analysis and interpretation of correlation

  • 4 things to know
  • Paper 2

Overview

The correlation coefficient, how its strength is banded, why correlation does not establish cause, and why a real relationship can still show no straight-line correlation.

What you need to know

Answer each one before you reveal it.

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Key term

What is a correlation coefficient?

Numbers

How is the strength of a correlation banded numerically?

Evaluation

Why does a correlation not prove that one variable causes another?

Evaluation

Why can two related variables show no straight-line correlation?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is correlation in statistical terms?

    Model answer

    A statistical measure that describes the strength and direction of the relationship between two co-variables.

  2. 2

    Define a correlation coefficient.

    Model answer

    A numerical value that quantifies the strength and direction of a correlation, ranging from -1 to +1.

  3. 3

    What does a correlation coefficient of +1 indicate?

    Model answer

    A perfect positive correlation where both variables increase together in exact proportion.

  4. 4

    What does a correlation coefficient of -1 indicate about the relationship between two variables?

    Model answer

    A perfect negative correlation where one variable increases as the other decreases in exact proportion.

  5. 5

    What does a correlation coefficient of 0 indicate?

    Model answer

    No correlation between the two variables.

  6. 6

    How does the proximity of a correlation coefficient to +1 or -1 relate to the strength of the relationship?

    Model answer

    Correlation coefficients closer to +1 or -1 indicate stronger relationships, while those closer to 0 indicate weaker relationships.

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