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Make predictions with a line of best fit

8th grade (Year 9 in England) · 16 questions · Common Core: 8.SP.A.2, 8.SP.A.3 · England: KS3 Statistics, GCSE Foundation Statistics

Name

Date

Score/ 16

  1. Question 1

    A line of best fit is y = 3x + 3. For which x does it predict y = 33?

    Answer

  2. Question 2

    Data was collected for x from 1 to 8, and the line of best fit is y = 5x + 6. Nia uses it to predict y when x = 54. Why should Nia be careful?

    xy1234567891028560y = 5x + 6(1, 11)(2, 17)(3, 22)(4, 26)(5, 33)(6, 38)(7, 42)(8, 45)
    • A. x is far outside the data range, so the trend may not continue
    • B. The line has a positive slope
    • C. Lines of best fit can never be used
    • D. The answer will be a decimal

  3. Question 3

    The line of best fit for test score (y) against hours of practice (x) is y = 9x + 44. Predict the score after 9 hours.

    Answer

  4. Question 4

    A line of best fit is y = 1.5x + 8. For which x does it predict y = 14?

    Answer

  5. Question 5

    Data was collected for x from 1 to 8, and the line of best fit is y = 3x + 17. Mei uses it to predict y when x = 39. Why should Mei be careful?

    xy123456789106121824303642480y = 3x + 17(1, 21)(2, 25)(3, 28)(4, 28)(5, 30)(6, 35)(7, 39)(8, 42)
    • A. Lines of best fit can never be used
    • B. The answer will be a decimal
    • C. x is far outside the data range, so the trend may not continue
    • D. The line has a positive slope

  6. Question 6

    The line of best fit for test score (y) against hours of practice (x) is y = 4x + 26. Predict the score after 6 hours.

    Answer

  7. Question 7

    A line of best fit is y = 2.5x + 1. For which x does it predict y = 18.5?

    Answer

  8. Question 8

    Data was collected for x from 1 to 8, and the line of best fit is y = 3x + 16. Kofi uses it to predict y when x = 51. Why should Kofi be careful?

    xy123456789106121824303642480y = 3x + 16(1, 21)(2, 21)(3, 23)(4, 27)(5, 30)(6, 32)(7, 35)(8, 39)
    • A. The line has a positive slope
    • B. x is far outside the data range, so the trend may not continue
    • C. Lines of best fit can never be used
    • D. The answer will be a decimal

  9. Question 9

    The line of best fit for test score (y) against hours of practice (x) is y = 9x + 37. Predict the score after 3 hours.

    Answer

  10. Question 10

    A line of best fit is y = 2x + 2. For which x does it predict y = 22?

    Answer

  11. Question 11

    Data was collected for x from 1 to 8, and the line of best fit is y = 2x + 16. Ethan uses it to predict y when x = 56. Why should Ethan be careful?

    xy1234567891015300y = 2x + 16(1, 16)(2, 22)(3, 20)(4, 24)(5, 24)(6, 29)(7, 30)(8, 32)
    • A. The answer will be a decimal
    • B. Lines of best fit can never be used
    • C. The line has a positive slope
    • D. x is far outside the data range, so the trend may not continue

  12. Question 12

    The line of best fit for test score (y) against hours of practice (x) is y = 9x + 35. Predict the score after 9 hours.

    Answer

  13. Question 13

    A line of best fit is y = 1.5x + 6. For which x does it predict y = 18?

    Answer

  14. Question 14

    Data was collected for x from 1 to 8, and the line of best fit is y = 2x + 15. Jamal uses it to predict y when x = 49. Why should Jamal be careful?

    xy123456789104812162024283236400y = 2x + 15(1, 16)(2, 18)(3, 22)(4, 24)(5, 25)(6, 29)(7, 31)(8, 33)
    • A. The line has a positive slope
    • B. x is far outside the data range, so the trend may not continue
    • C. Lines of best fit can never be used
    • D. The answer will be a decimal

  15. Question 15

    The line of best fit for test score (y) against hours of practice (x) is y = 7x + 43. Predict the score after 6 hours.

    Answer

  16. Question 16

    A line of best fit is y = 2x + 6. For which x does it predict y = 30?

    Answer

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Answer key: Make predictions with a line of best fit

  1. 1. 10

  2. 2. A. x is far outside the data range, so the trend may not continue

  3. 3. 125

  4. 4. 4

  5. 5. C. x is far outside the data range, so the trend may not continue

  6. 6. 50

  7. 7. 7

  8. 8. B. x is far outside the data range, so the trend may not continue

  9. 9. 64

  10. 10. 10

  11. 11. D. x is far outside the data range, so the trend may not continue

  12. 12. 116

  13. 13. 8

  14. 14. B. x is far outside the data range, so the trend may not continue

  15. 15. 85

  16. 16. 12