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### Linear Regressions

 1.3.1a Linear Modeling (or Curve Fitting) with a Best-Fit Line Explanation:Khan video: Estimating the line of best-fit exerciseKhan video: Line of best fit: smoking in 1945Khan video: Interpreting a trend lineKhan Article: Equations of trend lines: Phone dataKhan video: Slope-intercept equation from two pointsNotes | AnnotatedPractice Problems:Khan Exercise: Eyeballing the line of best fitHonors: Khan Exercise: Estimating slope of line of best fitHonors: Khan Exercise: Estimating equations of lines of best fit, and using them to make predictionsHonors: Khan Exercise: Interpreting slope and y-intercept of lines of best fitKhan Exercise: Slope-intercept equation from two pointsWorksheet #1Worksheet #2 1.3.1b 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 Texas Instrument Graphing CalculatorsDesmos.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).  Excel NumbersOnline activity: Line of Best Fit by Illuminations (Java)Practice Problems:1.3.2a Correlation: 1) finding the correlation coefficient and 2) causation vs. correlationExplanation:Khan video: Scatter plots: studying, shoe size, and test scoresKhan video: Example: Correlation coefficient intuitionKhan article: Positive and negative correlations in scatterplotsKhan video: Correlation and causalityArticle: Music That Makes You DumbPractice Problems: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 plotsKhan Exercise: Correlation coefficient intuitionWorksheet #1Worksheet #2 Annual Salary Project DirectionsAnnual Salary Project Google Sheet (use this file to copy and paste the annual earnings into your Google Sheet)1.3.3 Creating Residual PlotsExplanation:Khan video: Introduction to residuals and least squares regressionKhan article: Introduction to residualsKhan video: Residual plotsPractice Problems:Khan exercise: Residual plotsWorksheet #1Worksheet #21.3.4 Using Residual PlotsExplanation:Khan video: Calculating residual examplePractice Problems:Khan Exercise: Calculating and interpreting residuals (challenging)Worksheet #1Review