Embedded Files
4.1 Linear Modeling (or Curve Fitting) with a Best-Fit Line
Explanation:
Khan video: Constructing a scatter plot
Khan video: Estimating the line of best-fit exercise
Khan video: Line of best fit: smoking in 1945
Khan video: Interpreting a trend line
Khan Article: Equations of trend lines: Phone data
Khan video: Slope-intercept equation from two points
Notes | Annotated
Practice Problems:
Khan exercise: Constructing scatter plots
Khan exercise: Making appropriate scatter plots
Khan Exercise: Eyeballing the line of best fit
Khan Exercise: Estimating equations of lines of best fit, and using them to make predictions
Honors: Khan Exercise: Estimating slope of line of best fit
Honors: Khan Exercise: Interpreting slope and y-intercept of lines of best fit
Khan Exercise: Slope-intercept equation from two points
4.2 Linear Modeling with Line of Regression (Least Square Regression)
Explanation:
Khan video (for the writing prompt): Predicting Linear Models - on Youtube
Spreadsheets for linear modeling
Desmos.com (click the question mark in the upper right-hand corner then Regressions for a brief tutorial). Basically, press + and select the table. Then type in the table values. Next press + and select the expression. Then type y1~mx1+b.
Google Sheets (the instructions are for after you create a table and scatterplot).
Online activity: Line of Best Fit by Illuminations (Java)
Practice Problems:
IXL: Algebra 1: MM.13 Find the equation of a regression line
IXL: Algebra 1: MM.15 Analyze a regression line of a data set (seems to be the same as MM.13)
4.3 Correlation: 1) finding the correlation coefficient and 2) causation vs. correlation
Explanation:
Khan video: Example of direction in scatterplots
Khan video: Scatter plots: studying, shoe size, and test scores
Khan video: Example: Correlation coefficient intuition
Khan article: Positive and negative correlations in scatterplots
Khan video: Correlation and causality
Article: Music That Makes You Dumb
Practice Problems:
IXL: Algebra 1: MM.10 Match correlation coefficients to scatter plots
Khan Exercise: Positive and negative linear correlations from scatter plots (nonlinear association means there is a pattern but not a line)
Khan Exercise: Describing trends in scatter plots
Khan Exercise: Correlation coefficient intuition
Annual Salary Project Google Sheet (use this file to copy and paste the annual earnings into your Google Sheet)
4.4 Residual Plots
Explanation:
Khan video: Introduction to residuals and least squares regression
Khan article: Introduction to residuals
Khan video: Residual plots
Practice Problems:
Khan exercise: Residual plots
Review
Explanation:
Khan video: Calculating residual example
Practice Problems:
Khan Exercise: Calculating and interpreting residuals (challenging)
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