Lesson L2

L2 Scatter diagrams, regression lines and correlation Quiz: AQA Maths, Unit 11

20 questions

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Lesson L2, Scatter diagrams, regression lines and correlation: 20 multiple choice questions for the AQA Maths (7357), Unit 11: Statistics, written with Revision Ninja.

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The 20 questions

  1. Why does correlation between two variables not guarantee causation?

    • Data is non-linear
    • Correlation is zero
    • Samples are random
    • Confounding variables exist
  2. What type of correlation occurs when one variable increases as the other increases?

    • Positive correlation
    • Negative correlation
    • Zero correlation
    • No correlation
  3. In a scatter diagram showing strong negative correlation, points lie close to a line with what gradient?

    • Positive gradient
    • Infinite gradient
    • Zero gradient
    • Negative gradient
  4. Within what range must the product moment correlation coefficient r lie?

    • -1 to 1 inclusive
    • 0 to infinity
    • 0 to 1 inclusive
    • -10 to 10 inclusive
  5. What do two distinct clusters of points on a scatter diagram suggest about the data?

    • Linear regression model
    • Strong positive correlation
    • Two sub-populations
    • High measurement error
  6. How is a correlation coefficient of r = -0.9 best described?

    • Strong negative linear
    • Strong positive linear
    • Weak positive linear
    • Weak negative linear
  7. A regression line of mark on revision hours has gradient 3.5. What does 3.5 represent?

    • Marks per hour
    • Total exam mark
    • Hours per mark
    • Initial test score
  8. A point lies far away from the rest of a scatter diagram and pulls the line of best fit towards it. What is it called?

    • A correlation coefficient
    • A residual of zero
    • An outlier
    • A cluster
  9. What does a correlation coefficient of r = 0.05 indicate about two variables?

    • Strong negative correlation
    • Strong positive correlation
    • Almost no correlation
    • Moderate negative correlation
  10. What is making predictions outside the range of given data called?

    • Extrapolation
    • Interpolation
    • Regression
    • Correlation
  11. High correlation between ice cream sales and drownings is caused by what type of variable?

    • Lurking variable
    • Response variable
    • Explanatory variable
    • Extrapolated variable
  12. All points lie exactly on a straight line with negative gradient. What is the value of r?

    • -1
    • 0
    • -0.5
    • 1
  13. If data on a scatter diagram clearly forms two separate groups, how should it be analysed?

    • Extrapolated
    • Combined
    • Separately
    • Ignored
  14. How would a product moment correlation coefficient of r = 0.6 be described?

    • Weak negative
    • Moderate positive
    • Strong negative
    • Strong positive
  15. Shoe size and reading score are positively correlated in children due to which lurking variable?

    • Height
    • Age
    • Gender
    • IQ
  16. What value will Pearson's product moment correlation coefficient r give for U-shaped data?

    • Exactly 1
    • Close to zero
    • Close to -1
    • Close to 1
  17. For car value y = 50 - 2x in thousands of pounds, what does 50 represent?

    • Annual depreciation
    • Minimum car value
    • Maximum age
    • New car value
  18. For car value y = 50 - 2x in thousands of pounds, what does -2 represent?

    • Maximum car age
    • Total car cost
    • Initial car value
    • Annual value drop
  19. If all x-values in a dataset are multiplied by 2, what happens to Pearson's r?

    • Doubles
    • Remains unchanged
    • Halves
    • Becomes negative
  20. Why is a correlation coefficient calculated from a sample of 5 data points unreliable?

    • Small sample size
    • Incorrect variables
    • Extrapolation error
    • Non-linear relationship

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