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O-LevelMathematicsStatistics4024/12 · Oct/Nov 2018 · Q155 Marks

Each week, Henri records the number of units of gas used in his house and the mean temperature outside. Ten of his results are shown in the table. Mean temperature (°C) 12.2, 13.8, 0.6, 2.2, 2.8, 4.4, 5.6, 6.8, 9.0, 10.6 Number of units 140, 100, 740, 570, 660, 600, 500, 560, 410, 320

  1. (a)On the grid, complete the scatter diagram. The first five results have been plotted for you. [Grid with axes for Number of units and Mean temperature (°C)][2]
  2. (b)What type of correlation does your scatter diagram show?[1]
  3. (c)Draw a line of best fit on the grid.[1]
  4. (d)Use your line of best fit to estimate the number of units used for one week when the mean temperature outside is 7.6°C.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [2] 5 correct plots
  2. B1 for 3 or 4 correct plots
  3. [1] Negative
  4. [1] Acceptable ruled straight line.
  5. [1] Reading their value for x = 7.6
  6. Strict FT.

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 15.

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