Uvero — STEM Learning

Correlation in Scatter Plots

Scatter plots show direction and strength of association; correlation does not prove causation. Look at overall pattern and outliers, not a single point. A careful solution names the quantities, keeps place value or units visible, and explains why each operation fits.

Worked reasoning

The downward direction makes the association negative.
Tight clustering makes it strong.

Points cluster closely around a downward-sloping line. What correlation is shown?

Strong negative

Strong positive

No correlation

Proven causation

Which statement best captures the central mathematical idea in Correlation in Scatter Plots?

Look at overall pattern and outliers, not a single point.

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

A memorised formula is valid even when its conditions are not met.

The diagram or notation replaces the need to justify each mathematical step.

When starting a problem about Correlation in Scatter Plots, which move is most reliable?

Represent the given information clearly and identify the operation or relationship required for correlation in scatter plots.

Round every value before identifying the mathematical structure.

Choose the longest available formula and substitute immediately.

Assume the desired conclusion and work backwards without checking equivalence.

Which statement is a misconception that must be rejected when working with Correlation in Scatter Plots?

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

Look at overall pattern and outliers, not a single point.

Represent the given information clearly and identify the operation or relationship required for correlation in scatter plots.

Estimate first, then reverse the operation or use a second representation to check that the answer is reasonable.