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Scatter plots and correlation
Dynamic correlation direction, trend-line prediction, sample reliability and causation interpretation.
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Sample questions
- What type of correlation is shown?___
- Describe the relationship shown.___
- The trend line is y = ___x + (___). Predict y when x = ___.
- The trend line y = ___x + b has slope ___. How should it be interpreted?
- Does (___, ___) lie on y = ___x + (___)?
Scatter plots and correlation
A scatter plot displays paired values of two numerical variables. An upward pattern indicates positive correlation, a downward pattern negative correlation, and no clear direction weak or no linear correlation.
Interpretation and prediction
The closer the points lie to a line, the stronger the linear relationship. A line of best fit supports interpolation within the data range, while extrapolation beyond it is less reliable. Correlation alone does not establish causation; a third factor or chance may explain the pattern.
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