These are the Big Stat Ideas broken into Smaller Pieces! Each of these sets is what I would learn in a given day.
Create a Scatterplot with 2 Variables
Create a Scatterplot with 3 Variables
Create Comparative Scatterplots
Find a Point on a Scatterplot
Find Coordinating Values Between Scatterplots
Add the Line y=x
Draw an Ellipse Around Our Data
Find the minimum and maximum x & y value
Comparison of Domain and Range with y=x
Compare Scatterplots via Associations
Describing Non-Linear Associations
Describing Direction as a Direct or Inverse Relationship Between x & y
Describing a Scatterplot using FUDS, without r
Interpreting No Association Scatterplots (Round and Flat)
Scatterplots with Sub-Domains of Association
Rectangular vs. Square Data
Guessing the Association From Context
Calculate the Correlation Coefficient
Interpreting the Sign of Correlation (+/-) as Direct or Inverse
Selecting a Scatterplot with a given r Close to 0
Selecting a Scatterplot with a Given r Close to (+/- 1)
Comparing and Selecting Correlation Coefficients (r)
r Can Be Misleading
Correlation Mistakes (r has no units)
Correlation Mistakes (r is not affected by Most Linear Transformations)
Interpreting a Correlation Coefficient of r = 0
Determining Whether Variables are Explanatory or Response
Interpreting Slope (b1) in Context
Interpreting y-Intercept (bo) in Context
Write the LSRL Model from Regression Output
Find the LSRL Model From a Data Set
Given x and a Linear Model, Find Predicted y
Find the Difference of 2 Predicted y's Given 2 x values and a Linear Model
Draw a Linear Model
Draw a Linear Model Using a Broken Axis
Given the Increase in x, Find the Change in Predicted y
Find a Model by Regressing to the Mean
Find Slope or y-Intercept by Regressing to the Mean
Find Mean, Standard Deviation, or r by Regressing to the Mean
Calculate the Correlation Coefficient (r) from r^2
Calculate the Correlation Coefficient (r) from r^2 and Regression Output
Identify the Standard Error of the y-Intercept from Regression Output
Identify the Standard Error of the Slope from Regression Output
Compare Characteristics of 2 LSRL Models
Define Linear as a Model of Constant Change
Calculate Coefficient of Determination (r^2) given r
Calculate Coefficient of Dataset
Finding Corresponding Points Between Scatterplot and Residual Plot
Residuals Expressed as a Vertical Distance, Graphically or in Context
Given Actual y, Predicted y, e, and/or Model, Calculate x-value
Given x, Predicted y, e, and/or Model, Calculate Actual y
Given Actual y and e, Calculate Predicted y (y-hat)
Given x, Actual y, Predicted y, and/or Model, Calculate the Residual (e)
Calculate and/or Interpret Standard Deviation of Residuals (Se)
Calculate Residual Sums (SE, SSE)
LSRL and Rules of Residual Sums
Under- vs. Over-Predictions (+/- e)
Interpreting Association as a Difference Between Actual and Predicted y
Compare Residuals, Residual Sums, or Residual Plots
Interpreting Residuals, in Context, for Appropriateness of a Linear Model
Interpreting Resid Plots for Appropriateness of a Linear Model
Interpreting Resid Plots for Non-Appropriateness of Linear Model
Calculate the Coefficient of Determination (r^2) with Interpretation
Identify a Leverage Point from a Scatterplot
Defining Leverage Points and Affects on the LSRL
Identify an Influential Point from a Scatterplot
Defining Influential Points and Affects on LSRL
Identify an Outlier from a Scatterplot
Defining Outliers and Affects on LSRL
Scatterplots with Sub-Domains of Association
FUDS of a Subset on a Scatterplot
Compare Medians of Subsets
Simpson's Paradox: Subsets and Direction
Breaking into Subsets for Varying Purposes
Models Don't Work Under Extrapolation
Lurking Variables Beware
Non-Meaningful y-intercept (bo) in Context