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Common Core HSS.ID.C.7 worksheet

High school · 16 questions · Common Core: HSS.ID.B.6, HSS.ID.C.7, HSS.ID.C.8, HSS.ID.B.6.A · England: A-level Statistics

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Date

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  1. Question 1

    A regression line was found from data with x between 4 and 16 and strong correlation. How reliable is a prediction for x = 37?

    • A. Reliable: it is interpolation within the data
    • B. Unreliable: it is extrapolation beyond the data

  2. Question 2

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 14 + 6.5x. Predict the score for 8 hours of revision.

    Answer

  3. Question 3

    The regression line is ŷ = 6x + 21. By how much does the predicted y change when x increases by 1?

    Answer

  4. Question 4

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 0.6x. What does −0.6 tell you?

    • A. A teenager with no screen time sleeps 0.6 hours
    • B. The correlation coefficient is −0.6
    • C. Screen time causes 0.6 hours less sleep
    • D. Each extra hour of screen time goes with about 0.6 fewer hours of sleep per week, on average

  5. Question 5

    A correlation coefficient is r = −0.4. How would you describe the correlation?

    • A. strong positive
    • B. strong negative
    • C. weak positive
    • D. weak negative
    • E. no linear correlation

  6. Question 6

    A regression line was found from data with x between 1 and 9 and strong correlation. How reliable is a prediction for x = 2?

    • A. Reliable: it is interpolation within the data
    • B. Unreliable: it is extrapolation beyond the data

  7. Question 7

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 7 + 3.5x. Predict the score for 12 hours of revision.

    Answer

  8. Question 8

    The regression line is ŷ = 2.5x + 11. A data point is (13, 38.5). What is its residual (actual − predicted)?

    Answer

  9. Question 9

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 2x. What does −2 tell you?

    • A. Screen time causes 2 hours less sleep
    • B. A teenager with no screen time sleeps 2 hours
    • C. The correlation coefficient is −2
    • D. Each extra hour of screen time goes with about 2 fewer hours of sleep per week, on average

  10. Question 10

    A correlation coefficient is r = −0.4. How would you describe the correlation?

    • A. strong positive
    • B. strong negative
    • C. weak positive
    • D. weak negative
    • E. no linear correlation

  11. Question 11

    A regression line was found from data with x between 1 and 14 and strong correlation. How reliable is a prediction for x = 38?

    • A. Reliable: it is interpolation within the data
    • B. Unreliable: it is extrapolation beyond the data

  12. Question 12

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 38 + 7x. Predict the score for 10 hours of revision.

    Answer

  13. Question 13

    The regression line is ŷ = 5x + 5. A data point is (2, 16). What is its residual (actual − predicted)?

    Answer

  14. Question 14

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 2.2x. What does −2.2 tell you?

    • A. Each extra hour of screen time goes with about 2.2 fewer hours of sleep per week, on average
    • B. The correlation coefficient is −2.2
    • C. Screen time causes 2.2 hours less sleep
    • D. A teenager with no screen time sleeps 2.2 hours

  15. Question 15

    A correlation coefficient is r = 0.45. How would you describe the correlation?

    • A. strong positive
    • B. strong negative
    • C. weak positive
    • D. weak negative
    • E. no linear correlation

  16. Question 16

    A regression line was found from data with x between 5 and 19 and strong correlation. How reliable is a prediction for x = 40?

    • A. Reliable: it is interpolation within the data
    • B. Unreliable: it is extrapolation beyond the data

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Answer key: Common Core HSS.ID.C.7 worksheet

  1. 1. B. Unreliable: it is extrapolation beyond the data

  2. 2. 66

  3. 3. 6

  4. 4. D. Each extra hour of screen time goes with about 0.6 fewer hours of sleep per week, on average

  5. 5. D. weak negative

  6. 6. A. Reliable: it is interpolation within the data

  7. 7. 49

  8. 8. -5

  9. 9. D. Each extra hour of screen time goes with about 2 fewer hours of sleep per week, on average

  10. 10. D. weak negative

  11. 11. B. Unreliable: it is extrapolation beyond the data

  12. 12. 108

  13. 13. 1

  14. 14. A. Each extra hour of screen time goes with about 2.2 fewer hours of sleep per week, on average

  15. 15. C. weak positive

  16. 16. B. Unreliable: it is extrapolation beyond the data

HSS.ID.C.7 Worksheet: Linear regression and correlation coefficient | Eurekami