← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 12 · Statistics
Regression & Correlation (Grade 12)
WORKSHEET
Name: 
Class: 
Date: 
Mark
  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Using the scatter plot below, describe the type of relationship shown.
    (2)
    01234567020406080hours studiedmark (%)
  2. 2
    The calculator gives A = 13,00 and B = 8,86. Write down the equation of the least squares regression line.
    (2)
  3. 3
    Use the regression line to predict the mark of a learner who studies for 7 hours.
    (2)
    01234567020406080hours studiedmark (%)
  4. 4
    Interpret the gradient of the regression line in this context.
    (2)
  5. 5
    The correlation coefficient is r = 0,998. Interpret it.
    (2)
  6. 6
    What is the possible range of values for r?
    (2)
  7. 7
    Would it be reasonable to use this line to predict the mark for 20 hours of study? Explain.
    (2)
  8. 8
    Does a strong correlation prove that studying causes higher marks?
    (2)
TOTAL: 16 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.