Back to the lesson and practice
ActivityPractice worksheet
Do it🖨️ On paper✏️ On screen
New copyMake a new one

Works with a finger, a stylus or a mouse. Nothing is saved or sent anywhere.

Write your answers with a finger, mouse or stylus. Switch to Scroll to move around the page. A stylus always writes.

eurekami

Predict with a regression line and judge reliability

12th grade (Year 13 in England) · 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 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. Screen time causes 2.1 hours less sleep
    • B. A teenager with no screen time sleeps 2.1 hours
    • C. Each extra hour of screen time goes with about 2.1 fewer hours of sleep per week, on average
    • D. The correlation coefficient is −2.1

  2. Question 2

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 7 + 7x. Predict the score for 4 hours of revision.

    Answer

  3. Question 3

    A regression line was found from data with x between 5 and 18 and strong correlation. How reliable is a prediction for x = 29?

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

  4. Question 4

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 1.9x. What does −1.9 tell you?

    • A. Each extra hour of screen time goes with about 1.9 fewer hours of sleep per week, on average
    • B. A teenager with no screen time sleeps 1.9 hours
    • C. The correlation coefficient is −1.9
    • D. Screen time causes 1.9 hours less sleep

  5. Question 5

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 36 + 2x. Predict the score for 11 hours of revision.

    Answer

  6. Question 6

    A regression line was found from data with x between 4 and 16 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

  7. Question 7

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 3x. What does −3 tell you?

    • A. A teenager with no screen time sleeps 3 hours
    • B. Each extra hour of screen time goes with about 3 fewer hours of sleep per week, on average
    • C. The correlation coefficient is −3
    • D. Screen time causes 3 hours less sleep

  8. Question 8

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 17 + 3x. Predict the score for 11 hours of revision.

    Answer

  9. Question 9

    A regression line was found from data with x between 5 and 18 and strong correlation. How reliable is a prediction for x = 36?

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

  10. Question 10

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 2.6x. What does −2.6 tell you?

    • A. A teenager with no screen time sleeps 2.6 hours
    • B. Screen time causes 2.6 hours less sleep
    • C. Each extra hour of screen time goes with about 2.6 fewer hours of sleep per week, on average
    • D. The correlation coefficient is −2.6

  11. Question 11

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 11 + 1x. Predict the score for 4 hours of revision.

    Answer

  12. Question 12

    A regression line was found from data with x between 4 and 18 and strong correlation. How reliable is a prediction for x = 6?

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

  13. Question 13

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 2.8x. What does −2.8 tell you?

    • A. Each extra hour of screen time goes with about 2.8 fewer hours of sleep per week, on average
    • B. Screen time causes 2.8 hours less sleep
    • C. The correlation coefficient is −2.8
    • D. A teenager with no screen time sleeps 2.8 hours

  14. Question 14

    For students who revised 1 to 15 hours, the regression line for test score y on revision hours x is y = 32 + 7x. Predict the score for 11 hours of revision.

    Answer

  15. Question 15

    A regression line was found from data with x between 4 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

  16. Question 16

    For a sample of teenagers, sleep per week s (hours) and daily screen time x (hours) give s = 60 − 1.2x. What does −1.2 tell you?

    • A. Screen time causes 1.2 hours less sleep
    • B. Each extra hour of screen time goes with about 1.2 fewer hours of sleep per week, on average
    • C. A teenager with no screen time sleeps 1.2 hours
    • D. The correlation coefficient is −1.2

Write your answers right on the page. · Free from eurekami.com

All done? Check your answers
  1. Each extra hour of screen time goes with about 2.1 fewer hours of sleep per week, on average
  2. 35
  3. Unreliable: it is extrapolation beyond the data
  4. Each extra hour of screen time goes with about 1.9 fewer hours of sleep per week, on average
  5. 58
  6. Unreliable: it is extrapolation beyond the data
  7. Each extra hour of screen time goes with about 3 fewer hours of sleep per week, on average
  8. 50
  9. Unreliable: it is extrapolation beyond the data
  10. Each extra hour of screen time goes with about 2.6 fewer hours of sleep per week, on average
  11. 15
  12. Reliable: it is interpolation within the data
  13. Each extra hour of screen time goes with about 2.8 fewer hours of sleep per week, on average
  14. 109
  15. Unreliable: it is extrapolation beyond the data
  16. Each extra hour of screen time goes with about 1.2 fewer hours of sleep per week, on average