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Scatter plots and correlation

Dynamic correlation direction, trend-line prediction, sample reliability and causation interpretation.

Questions: 10Estimated time: 17 minutes
Scatter plots and correlation
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Sample questions

  1. What type of correlation is shown?___
  2. Describe the relationship shown.___
  3. The trend line is y = ___x + (___). Predict y when x = ___.
  4. The trend line y = ___x + b has slope ___. How should it be interpreted?
  5. 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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