Module 4 — Regression and Quadratics
Use this if regression residuals, correlation, vertices, or zeros are mixing together.
A residual compares an actual value with the value predicted by the regression line.
The leading coefficient controls whether a parabola opens upward or downward.
The vertex gives the turning point; zeros are the inputs where the function equals zero.
What does a residual measure?
The distance between an observed value and the corresponding regression prediction.
Got it now? Scroll back up and re-read the section — it should land differently.
Counts and mappings come from .ai/students/alaina/math1330/assignments/index.json. These are task maps, not answer keys.
| WebAssign set | Questions | Textbook sections |
|---|---|---|
| 1330 W - Lin Regress | 10 | §1.4, §1.2, §2.1 |
| 1330 W - Quad | 21 | §1.4, §1.2, §2.1 |
Distinguish observed and predicted values.
Calculate and interpret residuals and sum-of-squares error.
Find and interpret a regression line.
Interpret the coefficient of correlation.
Graph and interpret quadratic functions.
Locate vertices and zeros.
Use quadratic models in revenue and profit settings.
