Regression: is the slope real?
Content for Tuesday, March 9, 2027
Goals
By the end of this topic, you should be able to:
- Say why a slope has a sampling distribution
- Test a slope with t and with F
- Give an interval for β
- Read a regression table
Reading
- The rest of section 14-6, “analysis of regression”.
- Part 1 of our regression handout, on testing the slope, which goes further than the book.
- Practice: Problems 1 to 3 at the end of the handout. Solutions are on Canvas.
NoteThe book and our slides
- The book: uses beta for the standardized slope, and tests the slope only with F. Our slides: use β for the true slope in the population, and test it with t as well as F, with an interval for β.