The Sampling Distribution of the Slope

Extend linear regression analysis to include formal inference, testing whether a significant linear relationship exists in the population. The Sampling Distribution of the Slope turns that idea into something you can manipulate directly and watch respond.

Extend linear regression analysis to include formal inference, testing whether a significant linear relationship exists in the population. It focuses on Population Regression Line, Standard Error of the Slope, T-Test for the Slope (beta), Confidence Interval for the Slope, Conditions for Regression Inference (LINER), Interpreting Computer Output from the “Unit 9: Inference for Quantitative Data: Slopes” section.

The sliders change the key inputs; the “Take Random Sample (n=15)”, “Reset Distribution” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

AP Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is equivalent to a one-semester introductory college statistics course and focus… This demo is the interactive piece for the “Unit 9: Inference for Quantitative Data: Slopes” section. Open the full AP Statistics course wiki at https://www.getlykke.com/explore/public/ap-statistics-70553ac9-70f9-422d-b8b6-c328240d85c1 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Population Regression Line, Standard Error of the Slope, T-Test for the Slope (beta), Confidence Interval for the Slope, Conditions for Regression Inference (LINER), Interpreting Computer Output — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on AP Statistics alone.