Secondary 3 G2 Mathematics Tutor Bukit Timah | Scatter Plots and Correlation. Did you know? Two quantities can move together without one causing the other.
This quick-reference Secondary 3 G2 Mathematics guide for Bukit Timah families explains scatter plots and correlation through clear examples and common-error checks. Follow the student’s school materials for the exact assessed scope.
What is a scatter plot?
A scatter plot shows paired numerical observations. Each point represents one pair (x,y), such as study minutes and quiz scores.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
Positive correlation
When larger x values tend to accompany larger y values, the plotted pattern shows positive association. It does not prove causation.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
Negative correlation
When larger x values tend to accompany smaller y values, the pattern shows negative association. An example could be remaining distance against elapsed travel time.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
No clear correlation
If points show no consistent upward or downward pattern, the sample may show little linear association. Avoid forcing a line through an unclear cloud.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
Outliers
A single unusual point can distort a visual trend. Check whether it is a genuine observation or a recording error before interpreting it.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
Interpolation and extrapolation
Estimating within the observed x range is interpolation; extending beyond that range is extrapolation and may be less reliable.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
Causation caution
A scatter plot alone cannot prove that changing x causes y to change. Other factors and the sampling method may matter.
Explain what the quantities mean, then test a changed example independently. If the answer is wrong, identify the first mistaken step before repeating the calculation.
Seven-day practice routine
Day 1: identify definitions and prerequisites. Day 2: work through one example. Day 3: change the numbers. Day 4: solve a question without a topic label. Day 5: check errors and explanations. Day 6: connect the skill to another topic. Day 7: retest independently after a delay.
Frequently asked questions
What should I do first? Identify the unknown and the given information. How do I verify the result? Substitute it back or compare it with the original data. What if the example seems unfamiliar? Draw a diagram or organise the information before choosing a formula.
Official syllabus and tutorial context
Use the 2027 SEC G2 Mathematics K210 syllabus to confirm the official topic requirements. The unchanged eduKateSG three-pupil Mathematics tutorial reference describes local small-group teaching near Sixth Avenue. Confirm the current tutor, fees, class suitability and timetable directly.
Further Secondary 3 G2 Mathematics reading
See Standard Form and Accuracy, Linear Graph Intersections, and Survey Bias and Data Interpretation.