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Interpret the slope and intercept of a line of best fit

8th grade (Year 9 in England) · 16 questions · Common Core: 8.SP.A.3 · England: KS3 Statistics

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  1. Question 1

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 4x + 5. What does 5 represent?

    • A. The cost of a 5 km trip
    • B. The predicted cost for a 0 km trip (the starting charge)
    • C. The longest possible trip
    • D. The cost per km

  2. Question 2

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 2x + 27. What does 2 mean?

    • A. Plants grow about 2 cm per week
    • B. Plants grow for 2 weeks
    • C. Plants grow 27 cm per week
    • D. Plants are 2 cm tall at the start

  3. Question 3

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 2x + 19. What does 19 represent?

    • A. The cost per km
    • B. The cost of a 19 km trip
    • C. The predicted cost for a 0 km trip (the starting charge)
    • D. The longest possible trip

  4. Question 4

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 7x + 42. What does 7 mean?

    • A. Plants grow 42 cm per week
    • B. Plants grow about 7 cm per week
    • C. Plants are 7 cm tall at the start
    • D. Plants grow for 7 weeks

  5. Question 5

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 5x + 14. What does 14 represent?

    • A. The cost of a 14 km trip
    • B. The predicted cost for a 0 km trip (the starting charge)
    • C. The longest possible trip
    • D. The cost per km

  6. Question 6

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 7x + 55. What does 7 mean?

    • A. Plants grow 55 cm per week
    • B. Plants grow for 7 weeks
    • C. Plants are 7 cm tall at the start
    • D. Plants grow about 7 cm per week

  7. Question 7

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 16. What does 16 represent?

    • A. The predicted cost for a 0 km trip (the starting charge)
    • B. The longest possible trip
    • C. The cost per km
    • D. The cost of a 16 km trip

  8. Question 8

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 3x + 25. What does 3 mean?

    • A. Plants grow for 3 weeks
    • B. Plants grow 25 cm per week
    • C. Plants grow about 3 cm per week
    • D. Plants are 3 cm tall at the start

  9. Question 9

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 1x + 23. What does 23 represent?

    • A. The cost of a 23 km trip
    • B. The cost per km
    • C. The longest possible trip
    • D. The predicted cost for a 0 km trip (the starting charge)

  10. Question 10

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 2x + 30. What does 2 mean?

    • A. Plants grow about 2 cm per week
    • B. Plants grow for 2 weeks
    • C. Plants are 2 cm tall at the start
    • D. Plants grow 30 cm per week

  11. Question 11

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 9. What does 9 represent?

    • A. The predicted cost for a 0 km trip (the starting charge)
    • B. The cost of a 9 km trip
    • C. The longest possible trip
    • D. The cost per km

  12. Question 12

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 7x + 53. What does 7 mean?

    • A. Plants grow 53 cm per week
    • B. Plants are 7 cm tall at the start
    • C. Plants grow for 7 weeks
    • D. Plants grow about 7 cm per week

  13. Question 13

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 4x + 26. What does 26 represent?

    • A. The longest possible trip
    • B. The cost per km
    • C. The cost of a 26 km trip
    • D. The predicted cost for a 0 km trip (the starting charge)

  14. Question 14

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 5x + 12. What does 5 mean?

    • A. Plants grow about 5 cm per week
    • B. Plants grow 12 cm per week
    • C. Plants are 5 cm tall at the start
    • D. Plants grow for 5 weeks

  15. Question 15

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 5x + 13. What does 13 represent?

    • A. The longest possible trip
    • B. The cost per km
    • C. The cost of a 13 km trip
    • D. The predicted cost for a 0 km trip (the starting charge)

  16. Question 16

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 3x + 21. What does 3 mean?

    • A. Plants grow for 3 weeks
    • B. Plants are 3 cm tall at the start
    • C. Plants grow about 3 cm per week
    • D. Plants grow 21 cm per week

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  1. The predicted cost for a 0 km trip (the starting charge)
  2. Plants grow about 2 cm per week
  3. The predicted cost for a 0 km trip (the starting charge)
  4. Plants grow about 7 cm per week
  5. The predicted cost for a 0 km trip (the starting charge)
  6. Plants grow about 7 cm per week
  7. The predicted cost for a 0 km trip (the starting charge)
  8. Plants grow about 3 cm per week
  9. The predicted cost for a 0 km trip (the starting charge)
  10. Plants grow about 2 cm per week
  11. The predicted cost for a 0 km trip (the starting charge)
  12. Plants grow about 7 cm per week
  13. The predicted cost for a 0 km trip (the starting charge)
  14. Plants grow about 5 cm per week
  15. The predicted cost for a 0 km trip (the starting charge)
  16. Plants grow about 3 cm per week