Statistical Inferences About β1

Key Takeaways

  • The parameter β_1, the slope of the population regression line, is of primary interest because it describes the average change in y with respect to unit increase in x.

  • The statistic \hat{\beta}_{1}, the slope of the least squares regression line, is a point estimate of β_1. Confidence intervals for β_1 can be computed using a formula.

  • Hypotheses regarding β_1 are tested using the same five-step procedures introduced in Chapter 8 "Testing Hypotheses".

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  • line 7225 of /lib/moodlelib.php: call to debugging()
  • line 7292 of /lib/moodlelib.php: call to {closure}()
  • line 71 of /lib/classes/hook/output/before_footer_html_generation.php: call to get_plugins_with_function()
  • line 987 of /lib/classes/output/core_renderer.php: call to core\hook\output\before_footer_html_generation->process_legacy_callbacks()
  • line 154 of /mod/book/view.php: call to core\output\core_renderer->footer()