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Common Core HSS.ID.C.9 worksheet

High school · 16 questions · Common Core: HSS.ID.C.8, HSS.ID.C.9 · England: GCSE Higher Statistics, A-level Statistics

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  1. Question 1

    A data set has correlation coefficient r = −0.95. How would you describe the correlation?

    • A. Strong negative
    • B. Moderate negative
    • C. Little or no linear correlation

  2. Question 2

    Towns with more libraries have more crime. Does this show that one causes the other?

    • A. No: the correlation must be a calculation error
    • B. Not necessarily: a third factor, population size, could explain both
    • C. Yes, but only if r is above 0.9
    • D. Yes: strong correlation proves causation

  3. Question 3

    A data set has correlation coefficient r = 0.71. How would you describe the correlation?

    • A. Strong positive
    • B. Moderate positive
    • C. Little or no linear correlation

  4. Question 4

    Children with bigger shoe sizes have better reading scores. Does this show that one causes the other?

    • A. Yes, but only if r is above 0.9
    • B. Not necessarily: a third factor, age, could explain both
    • C. No: the correlation must be a calculation error
    • D. Yes: strong correlation proves causation

  5. Question 5

    A data set has correlation coefficient r = −0.45. How would you describe the correlation?

    • A. Strong negative
    • B. Moderate negative
    • C. Little or no linear correlation

  6. Question 6

    Towns with more libraries have more crime. Does this show that one causes the other?

    • A. Not necessarily: a third factor, population size, could explain both
    • B. Yes: strong correlation proves causation
    • C. Yes, but only if r is above 0.9
    • D. No: the correlation must be a calculation error

  7. Question 7

    A data set has correlation coefficient r = −0.95. How would you describe the correlation?

    • A. Strong negative
    • B. Moderate negative
    • C. Little or no linear correlation

  8. Question 8

    Children with bigger shoe sizes have better reading scores. Does this show that one causes the other?

    • A. Yes, but only if r is above 0.9
    • B. No: the correlation must be a calculation error
    • C. Yes: strong correlation proves causation
    • D. Not necessarily: a third factor, age, could explain both

  9. Question 9

    A data set has correlation coefficient r = 0.93. How would you describe the correlation?

    • A. Strong positive
    • B. Moderate positive
    • C. Little or no linear correlation

  10. Question 10

    Towns with more libraries have more crime. Does this show that one causes the other?

    • A. No: the correlation must be a calculation error
    • B. Yes, but only if r is above 0.9
    • C. Yes: strong correlation proves causation
    • D. Not necessarily: a third factor, population size, could explain both

  11. Question 11

    A data set has correlation coefficient r = 0.38. How would you describe the correlation?

    • A. Strong positive
    • B. Moderate positive
    • C. Little or no linear correlation

  12. Question 12

    Ice-cream sales and sunburn cases are strongly correlated. Does this show that one causes the other?

    • A. Yes, but only if r is above 0.9
    • B. No: the correlation must be a calculation error
    • C. Yes: strong correlation proves causation
    • D. Not necessarily: a third factor, hot, sunny weather, could explain both

  13. Question 13

    A data set has correlation coefficient r = −0.45. How would you describe the correlation?

    • A. Strong negative
    • B. Moderate negative
    • C. Little or no linear correlation

  14. Question 14

    Ice-cream sales and sunburn cases are strongly correlated. Does this show that one causes the other?

    • A. Yes: strong correlation proves causation
    • B. No: the correlation must be a calculation error
    • C. Yes, but only if r is above 0.9
    • D. Not necessarily: a third factor, hot, sunny weather, could explain both

  15. Question 15

    A data set has correlation coefficient r = −0.1. How would you describe the correlation?

    • A. Strong negative
    • B. Moderate negative
    • C. Little or no linear correlation

  16. Question 16

    Towns with more libraries have more crime. Does this show that one causes the other?

    • A. Yes, but only if r is above 0.9
    • B. Not necessarily: a third factor, population size, could explain both
    • C. No: the correlation must be a calculation error
    • D. Yes: strong correlation proves causation

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Answer key: Common Core HSS.ID.C.9 worksheet

  1. 1. A. Strong negative

  2. 2. B. Not necessarily: a third factor, population size, could explain both

  3. 3. A. Strong positive

  4. 4. B. Not necessarily: a third factor, age, could explain both

  5. 5. B. Moderate negative

  6. 6. A. Not necessarily: a third factor, population size, could explain both

  7. 7. A. Strong negative

  8. 8. D. Not necessarily: a third factor, age, could explain both

  9. 9. A. Strong positive

  10. 10. D. Not necessarily: a third factor, population size, could explain both

  11. 11. B. Moderate positive

  12. 12. D. Not necessarily: a third factor, hot, sunny weather, could explain both

  13. 13. B. Moderate negative

  14. 14. D. Not necessarily: a third factor, hot, sunny weather, could explain both

  15. 15. C. Little or no linear correlation

  16. 16. B. Not necessarily: a third factor, population size, could explain both

HSS.ID.C.9 Worksheet: Interpret correlation coefficients and avoid… | Eurekami