AC9M10ST03Year 10StatisticsPractised on site

AC9M10ST03 — Year 10 Statistics

Official Curriculum Content Description:

construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity

Worked Examples (1)

Example 1Scatterplots, Correlation & Lines of Best Fit
From the scatterplot of engine displacement and fuel efficiency across car models with n=8n = 8 data points, identify whether the association between Engine (L) and Econ (km/L) is linear or non-linear.
1234565101520Engine (L)Econ (km/L)
Diagram not accurately drawn
Common mistake: Confused positive and negative direction, or linear and non-linear shape
Correct Answer:linear
Worked Solution:
Looking at the plotted points (n=8n = 8), larger engine sizes consistently correspond to lower fuel efficiency along a strong linear trend. Hence, the association is linear.

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