Modeling with Data: Linear Regression and an Introduction to Variability: Math Unit 8, Grade 9 (Letters & Devotion)

Description

Modeling with Data: Linear Regression and an Introduction to Variability is Unit 8 of Algebra I (Grade 9), the Letters & Devotion Math course, complete in one printable PDF: 9 lessons, the unit check-up and the answer key, 78 pages.

• Scatterplot construction and visual association strength/direction
• Slope and intercept of a fitted regression line in context
• Residual as signed vertical distance between actual and predicted value
• Comparison of candidate fitted lines via total residual magnitude
• Residual plot pattern as evidence of model appropriateness
• Correlation coefficient versus visual/residual evidence of linear fit quality (Anscombe-style contrasting cases)
• Confounding variables and causal versus correlational claims
• Linear versus exponential versus quadratic growth pattern as evidence for model choice
• Full linear-model critique integrating fit, residual analysis, and causal limitation

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.