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Hypothesis Testing for the Slope of a Least Squares Regression Line

  • If the random errors of the simple linear regression are normally distributed, then the sampling distribution of b is normal.

  • To calculate the estimator of the standard deviation of b, sb , the quantities of Sxx, Sxy , and Syy will be needed.

  • To test the slope of the regression line β, use the t-distribution with ν = n − 2 degrees of freedom.

Hypothesis Testing for the Slope of a Least Squares Regression Line

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Mathematics: AP Statistics