Relationships Between Two Variables: Math Unit 2, Grade 12 (Letters & Devotion)

Description

Relationships Between Two Variables is Unit 2 of Statistics and Data Science: An Introduction to Statistical Reasoning (Part 1) (Grade 12), the Letters & Devotion Math course, complete in one printable PDF: 9 lessons, the unit check-up and the answer key, 80 pages.

• Association between two quantitative variables shown in a scatterplot (direction, form, strength)
• The correlation coefficient r, computed via sum of standardized cross-products
• The limits of r as a sole summary of a bivariate relationship (Anscombe-style contrast)
• The least-squares regression line, its slope and y-intercept in context
• Extrapolation risk in regression predictions relative to the observed x-range
• Residual plots as a diagnostic for linearity
• Coefficient of determination r-squared and its proportion-of-variability interpretation
• Appropriateness of a linear model as a prior judgment made from raw scatterplot shape, independent of computed statistics
• Regression/correlation analysis of a genuine real-world dataset, including its concealed limitations

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.