Interpreting data from Scatter plot - TARSOG

Read and quantify data directly off a bivariate scatter plot, then use the TARSOG framework (Trend, Association, Relationship, Scatter, Outliers, Grouping) to describe what it shows -- including naming the explanatory/response variable, using the line of best fit to predict a value, and judging whether that prediction is interpolation or extrapolation. Distinct from the existing 9MAT-derived lo-analysing-scatter-plots-i-e-bivariate-tarsog, which mixes verbal TARSOG-vocabulary recall with some diagram reads; this LO's task decks embed a live \PicStatisticsScatter diagram in every card and always require a numeric prediction, an outlier's quantified gap from the trend, or an explanatory/response judgement, not just a TARSOG label.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Beta: Scatter plot - TARSOG Skills in Ex 31.01, pg 579
  • CorbettMaths worksheet on Scatter GraphsQuestions PDF · Answers

Terminology

  • Bivariate Data
  • Line of Best Fit (Trend line)
  • Trend (Linear vs. Non-linear)
  • Association (Positive vs. Negative)
  • Relationship (Strong, Moderate, Weak)
  • Scatter (Constant vs. Fanning)
  • Outliers (Unusual points)
  • Grouping (Clusters)
  • Explanatory (independent) vs response (dependent) variable
  • Interpolation vs extrapolation

Task goals

  • Identify the explanatory (independent) and response (dependent) variable in a scatter plot's context.
  • Describe the trend (linear/non-linear) and association (positive/negative) shown by the main cluster of points.
  • Judge the strength of the relationship (weak/moderate/strong) from how closely points cluster around the line of best fit.
  • Identify an outlier's coordinates and calculate how far its actual value departs from what the line of best fit predicts at that x-value.
  • Use the line of best fit to predict a value, and correctly classify the prediction as interpolation (within the data range) or extrapolation (beyond it), explaining why extrapolated predictions are less reliable.
  • Recognise when two distinct groupings exist in one scatter plot (via a key), and explain why a single combined line of best fit would be misleading.

Key skills

  • Scatter plots
  • Correlation
  • Line of best fit
  • TARSOG

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included