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Cambridge IGCSE Statistics practice

Paper 1 structured question: Bivariate distributions

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Topic

Bivariate distributions

Exam-style question

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Paper 1Statistical Techniques3 marks

A student collected data on the number of hours studied (x) and the marks scored (y) in a test for 5 students. The data points are plotted on a scatter diagram. The student draws a line of best fit through the points.

Data Table

Study Hours and Test Marks

Data collected by the student

Hours studied (x)Marks scored (y)
150
255
365
470
575
  1. a

    Calculate the equation of the line of best fit in the form y = mx + c using the points (1, 50) and (5, 75).

    Aim for approximately 3 distinct marking points.

    [3]

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Paper 1 structured question: Bivariate distributions

Paper 1Statistical Techniques2 marks

Description

Line of Best Fit for Ice Cream Sales

The equation y = 4x + 10 models the relationship between temperature and ice cream sales.

  1. a

    Calculate the predicted ice cream sales when the temperature is 15°C.

    Aim for approximately 2 distinct marking points.

    [2]