Chapter 23

Testing the hypothesis of no linear relationship

  1. State the \(T\)-statistic for the sample slope and its sampling distribution under the null hypothesis when the SLRNN model assumptions hold.
  2. State the estimate of the standard error of the slope estimate in simple linear regression.
  3. Identify the estimate of the standard error of the slope estimate in an output from summary.
  4. Perform a hypothesis test for a claim about a population slope.

Confidence intervals for the regression slope

  1. State the confidence interval for a population slope under the SLRNN model assumptions.
  2. Construct a confidence interval for a population slope using the output from summary and qt.