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AP Statistics

AP Statistics. Chapter 15 Notes. Inference for a Regression Line. Goal: To determine if there is a relationship between two quantitative variables. i.e. What is the slope of the regression line? From sample…a and b are statistics True regression line… α and β are parameters. Conditions.

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AP Statistics

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  1. AP Statistics Chapter 15 Notes

  2. Inference for a Regression Line • Goal: To determine if there is a relationship between two quantitative variables. • i.e. What is the slope of the regression line? • From sample…a and b are statistics • True regression line…α and β are parameters.

  3. Conditions • 1. Observations are independent. • 2. True relationship is linear. • 3. σ is constant. • Check residual plot…make sure there is no pattern and the magnitude of the residuals is stable. • 4. Response varies Normally about the true regression line. • Make histogram or stemplot of residuals.

  4. Confidence Interval (estimate β) • b ± t* SEb (df = n – 2) • Significance Test • Ho: β = 0 t = b/SEb • Ha: β ≠ > < 0

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