Scatter Plot Math Example 2

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Example 2

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A scatter plot of study hours (x)(x) vs. test scores (y)(y) shows points clustered tightly around an upward-sloping line. Describe the association in terms of direction, form, and strength. Then identify what an outlier would look like.

Solution

  1. 1
    Direction: positive โ€” higher study hours associate with higher scores
  2. 2
    Form: linear โ€” the points follow a straight-line pattern
  3. 3
    Strength: strong โ€” points are clustered tightly with little scatter around the line
  4. 4
    Outlier appearance: a point far from the overall pattern, e.g., someone who studied 10 hours but scored very low, or studied 1 hour but scored very high

Answer

Strong, positive, linear association. An outlier would be a point far from the linear trend.
Describing scatter plots requires addressing three characteristics: direction, form, and strength. Outliers in scatter plots are individual points that deviate substantially from the overall pattern, potentially affecting regression lines.

About Scatter Plot

A scatter plot is a graph with one quantitative variable on each axis where each data point is plotted as a dot, revealing relationships between the two variables.

Learn more about Scatter Plot โ†’

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