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Common Core 8.SP.A.3 worksheet

8th grade (Year 9 in England) · 16 questions · Common Core: 8.SP.A.1, 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 = 2.5x + 10. For which x does it predict y = 37.5?

    Answer

  2. Question 2

    The line of best fit for test score (y) against hours of practice (x) is y = 7x + 21. Predict the score after 3 hours.

    Answer

  3. Question 3

    Data was collected for x from 1 to 8, and the line of best fit is y = 4x + 10. Mei uses it to predict y when x = 47. Why should Mei be careful?

    xy12345678910612182430364248540y = 4x + 10(1, 13)(2, 16)(3, 23)(4, 28)(5, 32)(6, 36)(7, 37)(8, 42)
    • A. Lines of best fit can never be used
    • B. The line has a positive slope
    • C. The answer will be a decimal
    • D. x is far outside the data range, so the trend may not continue

  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 = 5x + 21. What does 21 represent?

    • A. The longest possible trip
    • B. The cost per km
    • C. The predicted cost for a 0 km trip (the starting charge)
    • D. The cost of a 21 km trip

  5. Question 5

    Yuki plotted two measurements for 8 plants in a scatter graph. What type of correlation does it show?

    xy24681024681012140(1, 3)(2, 3)(3, 4)(4, 6)(5, 6)(6, 7)(7, 8)(8, 10)
    • A. Positive
    • B. Negative
    • C. No correlation

  6. Question 6

    The line of best fit for hours studied (x) and test score (y) is y = 5x + 1. Predict the score for 6 hours of study.

    xy246810121481624324048566472800y = 5x + 1

    Answer

  7. Question 7

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 2x + 10. What does 2 mean?

    • A. Plants are 2 cm tall at the start
    • B. Plants grow about 2 cm per week
    • C. Plants grow for 2 weeks
    • D. Plants grow 10 cm per week

  8. Question 8

    A line of best fit is y = 2x + 9. For which x does it predict y = 25?

    Answer

  9. Question 9

    The line of best fit for test score (y) against hours of practice (x) is y = 9x + 35. Predict the score after 5 hours.

    Answer

  10. Question 10

    Data was collected for x from 1 to 8, and the line of best fit is y = 5x + 10. Ava uses it to predict y when x = 47. Why should Ava be careful?

    xy1234567891028560y = 5x + 10(1, 15)(2, 22)(3, 27)(4, 31)(5, 37)(6, 39)(7, 43)(8, 49)
    • A. x is far outside the data range, so the trend may not continue
    • B. The line has a positive slope
    • C. The answer will be a decimal
    • D. Lines of best fit can never be used

  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 = 1x + 29. What does 29 represent?

    • A. The predicted cost for a 0 km trip (the starting charge)
    • B. The cost of a 29 km trip
    • C. The cost per km
    • D. The longest possible trip

  12. Question 12

    Isla plotted two measurements for 8 plants in a scatter graph. What type of correlation does it show?

    xy24681024681012140(1, 3)(2, 3)(3, 6)(4, 6)(5, 8)(6, 9)(7, 10)(8, 9)
    • A. Positive
    • B. Negative
    • C. No correlation

  13. Question 13

    The line of best fit for hours studied (x) and test score (y) is y = 5x + 6. Predict the score for 11 hours of study.

    xy246810121481624324048566472800y = 5x + 6

    Answer

  14. Question 14

    For plants, the line of best fit of height in cm (y) against age in weeks (x) is y = 7x + 25. What does 7 mean?

    • A. Plants are 7 cm tall at the start
    • B. Plants grow for 7 weeks
    • C. Plants grow about 7 cm per week
    • D. Plants grow 25 cm per week

  15. Question 15

    A line of best fit is y = 1x + 10. For which x does it predict y = 14?

    Answer

  16. Question 16

    The line of best fit for test score (y) against hours of practice (x) is y = 5x + 50. Predict the score after 8 hours.

    Answer

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Answer key: Common Core 8.SP.A.3 worksheet

  1. 1. 11

  2. 2. 42

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

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

  5. 5. A. Positive

  6. 6. 31

  7. 7. B. Plants grow about 2 cm per week

  8. 8. 8

  9. 9. 80

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

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

  12. 12. A. Positive

  13. 13. 61

  14. 14. C. Plants grow about 7 cm per week

  15. 15. 4

  16. 16. 90

8.SP.A.3 Worksheet: Scatter graphs and correlation | Eurekami