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Common Core HSS.ID.B.6.A worksheet

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

Name

Date

Score/ 16

  1. Question 1

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 43 + 2x. Predict the score for 9 hours of revision.

    Answer

  2. Question 2

    A regression line was found from data with x between 5 and 15 and strong correlation. How reliable is a prediction for x = 35?

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

  3. Question 3

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 2.1x. What does −2.1 tell you?

    • A. A teenager with no screen time sleeps 2.1 hours
    • B. Each extra hour of screen time goes with about 2.1 fewer hours of sleep per week, on average
    • C. Screen time causes 2.1 hours less sleep
    • D. The correlation coefficient is −2.1

  4. Question 4

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 37 + 2.5x. Predict the score for 4 hours of revision.

    Answer

  5. Question 5

    A regression line was found from data with x between 1 and 13 and strong correlation. How reliable is a prediction for x = 26?

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

  6. Question 6

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 0.3x. What does −0.3 tell you?

    • A. Screen time causes 0.3 hours less sleep
    • B. A teenager with no screen time sleeps 0.3 hours
    • C. Each extra hour of screen time goes with about 0.3 fewer hours of sleep per week, on average
    • D. The correlation coefficient is −0.3

  7. Question 7

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 16 + 1.5x. Predict the score for 8 hours of revision.

    Answer

  8. Question 8

    A regression line was found from data with x between 3 and 14 and strong correlation. How reliable is a prediction for x = 13?

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

  9. Question 9

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 1.6x. What does −1.6 tell you?

    • A. The correlation coefficient is −1.6
    • B. A teenager with no screen time sleeps 1.6 hours
    • C. Screen time causes 1.6 hours less sleep
    • D. Each extra hour of screen time goes with about 1.6 fewer hours of sleep per week, on average

  10. Question 10

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 36 + 1.5x. Predict the score for 12 hours of revision.

    Answer

  11. Question 11

    A regression line was found from data with x between 3 and 16 and strong correlation. How reliable is a prediction for x = 4?

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

  12. Question 12

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 2.5x. What does −2.5 tell you?

    • A. Each extra hour of screen time goes with about 2.5 fewer hours of sleep per week, on average
    • B. A teenager with no screen time sleeps 2.5 hours
    • C. Screen time causes 2.5 hours less sleep
    • D. The correlation coefficient is −2.5

  13. Question 13

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 42 + 2.5x. Predict the score for 8 hours of revision.

    Answer

  14. Question 14

    A regression line was found from data with x between 5 and 20 and strong correlation. How reliable is a prediction for x = 34?

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

  15. Question 15

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 1.4x. What does −1.4 tell you?

    • A. The correlation coefficient is −1.4
    • B. Screen time causes 1.4 hours less sleep
    • C. A teenager with no screen time sleeps 1.4 hours
    • D. Each extra hour of screen time goes with about 1.4 fewer hours of sleep per week, on average

  16. Question 16

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 30 + 5x. Predict the score for 6 hours of revision.

    Answer

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Answer key: Common Core HSS.ID.B.6.A worksheet

  1. 1. 61

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

  3. 3. B. Each extra hour of screen time goes with about 2.1 fewer hours of sleep per week, on average

  4. 4. 47

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

  6. 6. C. Each extra hour of screen time goes with about 0.3 fewer hours of sleep per week, on average

  7. 7. 28

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

  9. 9. D. Each extra hour of screen time goes with about 1.6 fewer hours of sleep per week, on average

  10. 10. 54

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

  12. 12. A. Each extra hour of screen time goes with about 2.5 fewer hours of sleep per week, on average

  13. 13. 62

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

  15. 15. D. Each extra hour of screen time goes with about 1.4 fewer hours of sleep per week, on average

  16. 16. 60

HSS.ID.B.6a Worksheet: Predict with a regression line and judge… | Eurekami