2e.07 Interpret given Pearson’s product moment correlation coefficient (PMCC) in the context... Quiz: Pearson Edexcel Statistics, Unit 2

The 20 questions

1. What does a PMCC value of exactly +1 represent?

   • Perfect negative correlation
   • Strong negative correlation
   • No linear correlation
   • Perfect positive correlation

2. What does a PMCC value of exactly -1 represent?

   • No linear correlation
   • Perfect negative correlation
   • Moderate negative correlation
   • Perfect positive correlation

3. What does a PMCC value of exactly 0 indicate about two variables?

   • Perfect negative correlation
   • Exact inverse proportion
   • Strong positive correlation
   • No linear correlation

4. What specific feature of bivariate data does the PMCC measure?

   • Linear correlation strength
   • Non-linear curvature
   • Gradient of regression
   • Causal relationship

5. How is a calculated PMCC value of 0.95 best classified?

   • Weak positive correlation
   • Strong positive correlation
   • No correlation
   • Strong negative correlation

6. What does a PMCC value of -0.2 signify?

   • No correlation
   • Weak negative correlation
   • Strong negative correlation
   • Weak positive correlation

7. Is calculating the PMCC formula required for GCSE Statistics students?

   • Always compulsory
   • Only in Foundation
   • Yes
   • No

8. Which aspect of data does PMCC primarily evaluate?

   • Spread of data
   • Straight-line fit
   • Rate of change
   • Curved trend

9. Which PMCC value indicates a stronger linear relationship than 0.2?

   • 0.1
   • -0.1
   • 0.0
   • 0.7

10. How does PMCC fundamentally differ from Spearman's rank coefficient?

    • Ignores outliers
    • Handles non-linear data
    • Measures linear relationships
    • Uses ranked data

11. What does a PMCC of -0.9 between car age and value indicate?

    • No correlation
    • Strong negative correlation
    • Weak negative correlation
    • Strong positive correlation

12. Why is PMCC specifically termed a measure of linear correlation?

    • Calculates intercepts
    • Assesses curve fit
    • Measures gradient
    • Assesses straight-line fit

13. What scatter graph pattern is represented by a PMCC of +1?

    • Downward straight line
    • Random scatter
    • U-shaped curve
    • Upward straight line

14. What limitation is exposed when PMCC is applied to a clear curved relationship?

    • Only measures discrete data
    • Requires tied ranks
    • Misses non-linear relationships
    • Exaggerates the gradient

15. How does a PMCC of -0.55 compare in strength to -0.9?

    • Positive tendency
    • Stronger negative tendency
    • Equal strength
    • Weaker negative tendency

16. Which indicates a stronger linear correlation: r = -0.8 or r = 0.6?

    • -0.8
    • They are equal
    • Cannot tell
    • 0.6

17. What conclusion should be drawn if PMCC is 0.9 but data curves sharply?

    • Perfect correlation
    • Data is invalid
    • Linear model unsuitable
    • No correlation

18. What can be concluded if PMCC is 0 for data forming a U-shape?

    • Data is erroneous
    • No relationship exists
    • Strong linear correlation
    • Non-linear relationship exists

19. A scatter has points lying exactly on a sloping straight line. What is the PMCC?

    • Undefined
    • 0.5
    • 0
    • +1 or -1

20. What does a PMCC of -0.3 indicate about a dataset?

    • Weak positive correlation
    • No correlation
    • Weak negative correlation
    • Strong negative correlation

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