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Correlation and linear model

This test evaluates relationships between two variables using correlation and a linear model. Students interpret the correlation coefficient and R², calculate predictions and residuals and assess model suitability and the limits of causal conclusions.

Questions: 10Estimated time: 18 minutes
Correlation and linear model
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Sample questions

  1. The correlation coefficient is r = ___. What is the direction?
  2. Use R², the direction of the regression line and the variables' standard deviations to find the slope of the regression line.
  3. Find the value of x for which two linear trend models give the same prediction.
  4. Which variable in a linear model is called dependent?
  5. Compare correlations r₁ = ___ and r₂ = ___. Which is stronger?