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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

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 8x + 51. What does 8 mean?

    • A. Plants grow 51 cm per week
    • B. Plants grow for 8 weeks
    • C. Plants grow about 8 cm per week
    • D. Plants are 8 cm tall at the start

  2. Question 2

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 24. What does 24 represent?

    • A. The cost of a 24 km trip
    • B. The longest possible trip
    • C. The cost per km
    • D. The predicted cost for a 0 km trip (the starting charge)

  3. Question 3

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 3x + 34. What does 3 mean?

    • A. Plants grow about 3 cm per week
    • B. Plants grow for 3 weeks
    • C. Plants grow 34 cm per week
    • D. Plants are 3 cm tall at the start

  4. Question 4

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 27. What does 27 represent?

    • A. The cost of a 27 km trip
    • B. The cost per km
    • C. The longest possible trip
    • D. The predicted cost for a 0 km trip (the starting charge)

  5. Question 5

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 3x + 46. What does 3 mean?

    • A. Plants are 3 cm tall at the start
    • B. Plants grow 46 cm per week
    • C. Plants grow for 3 weeks
    • D. Plants grow about 3 cm per week

  6. Question 6

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 20. What does 20 represent?

    • A. The predicted cost for a 0 km trip (the starting charge)
    • B. The cost per km
    • C. The longest possible trip
    • D. The cost of a 20 km trip

  7. Question 7

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 8x + 51. What does 8 mean?

    • A. Plants grow for 8 weeks
    • B. Plants grow about 8 cm per week
    • C. Plants grow 51 cm per week
    • D. Plants are 8 cm tall at the start

  8. Question 8

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 26. What does 26 represent?

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

  9. Question 9

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 4x + 49. What does 4 mean?

    • A. Plants grow for 4 weeks
    • B. Plants are 4 cm tall at the start
    • C. Plants grow about 4 cm per week
    • D. Plants grow 49 cm per week

  10. Question 10

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

  11. Question 11

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 8x + 38. What does 8 mean?

    • A. Plants are 8 cm tall at the start
    • B. Plants grow for 8 weeks
    • C. Plants grow 38 cm per week
    • D. Plants grow about 8 cm per week

  12. Question 12

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 4x + 22. What does 22 represent?

    • A. The cost per km
    • B. The predicted cost for a 0 km trip (the starting charge)
    • C. The cost of a 22 km trip
    • D. The longest possible trip

  13. Question 13

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 6x + 39. What does 6 mean?

    • A. Plants grow for 6 weeks
    • B. Plants grow about 6 cm per week
    • C. Plants are 6 cm tall at the start
    • D. Plants grow 39 cm per week

  14. Question 14

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

  15. Question 15

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 9x + 27. What does 9 mean?

    • A. Plants grow for 9 weeks
    • B. Plants grow 27 cm per week
    • C. Plants are 9 cm tall at the start
    • D. Plants grow about 9 cm per week

  16. Question 16

    The line of best fit for the cost of a taxi ride (y, in currency units) against distance (x, in km) is y = 3x + 17. What does 17 represent?

    • A. The longest possible trip
    • B. The predicted cost for a 0 km trip (the starting charge)
    • C. The cost of a 17 km trip
    • D. The cost per km

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Answer key: Interpret the slope and intercept of a line of best fit

  1. 1. C. Plants grow about 8 cm per week

  2. 2. D. The predicted cost for a 0 km trip (the starting charge)

  3. 3. A. Plants grow about 3 cm per week

  4. 4. D. The predicted cost for a 0 km trip (the starting charge)

  5. 5. D. Plants grow about 3 cm per week

  6. 6. A. The predicted cost for a 0 km trip (the starting charge)

  7. 7. B. Plants grow about 8 cm per week

  8. 8. C. The predicted cost for a 0 km trip (the starting charge)

  9. 9. C. Plants grow about 4 cm per week

  10. 10. D. The predicted cost for a 0 km trip (the starting charge)

  11. 11. D. Plants grow about 8 cm per week

  12. 12. B. The predicted cost for a 0 km trip (the starting charge)

  13. 13. B. Plants grow about 6 cm per week

  14. 14. B. The predicted cost for a 0 km trip (the starting charge)

  15. 15. D. Plants grow about 9 cm per week

  16. 16. B. The predicted cost for a 0 km trip (the starting charge)