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Bivariate Data Analysis

We estimate MS1-12-BD is worth about 8 marks out of 100 under the new Mathematics Standard 1 syllabus. Practise 11 exam-style questions (multiple choice, multi-part, numerical answer, short answer) with instant marking and a worked solution for every question.

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Topic notes

Bivariate data, independent and dependent variables, scatterplots, describing direction, form and strength, drawing and using a line of best fit, finding its equation from two points, interpolation and extrapolation, and why association is not causation.

  1. 1What you need to know
  2. 2Univariate and bivariate data
  3. 3Independent and dependent variables
  4. 4Scatterplots
  5. 5Lines of best fit
  6. 6Making predictions
  7. 7Association is not causation
  8. 8Common mistakes
  9. 9Exam tips
  10. 10Links to other topics
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Example questions

Example 1 · 1 mark · multiple choice

A researcher records the number of hours a group of students studied for a test and their test marks. Which statement correctly describes the variables?

  1. ATest mark is the independent variable and hours studied is the dependent variable
  2. BBoth variables are independent, because they are measured separately
  3. CBoth variables are dependent, because each depends on the student
  4. DHours studied is the independent variable and test mark is the dependent variable

Example 2 · 1 mark · multiple choice

A line of best fit was drawn for data on car age (from 1 to 8 years) and resale value. It is used to predict the value of a car aged 5 years and a car aged 20 years. Which statement is correct?

  1. AThe 20-year prediction is more reliable, because it uses a bigger value
  2. BBoth predictions are equally reliable, because they use the same line
  3. CNeither prediction can be made from a line of best fit
  4. DThe 5-year prediction is more reliable, because 20 years is far outside the data

Answers and worked solutions appear when you practise these questions.

Other Mathematics Standard 1 topics