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The Correlation Between Shoe Size and Reading Level

Activity Description Activity GuideResources

Mathematics:  Students will fit the line through the data, show and define the residuals on the graph, find the least- squares regression line, define an outlier, discuss the influence of the outlier, make a prediction based on the model, and discuss the appropriateness of making predictions.

Mathematics Thinking:  Students will analyze, compare, and make predictions based on numerical, algebraic, and graphical representations of data.  Students will also discuss the influence of outliers on the model and the appropriateness of making predictions.

Technology:  Students will use Fathom dynamic software to create a Case Table to Insert data, analyze data using Sort Ascending and Sort Descending, create a Graph, manually create a line of best fit using a Movable Line, investigate residuals using Show Squares, Make a Residual Plot, and compute the Least- Squares Line.

Sample Screenshots: 

Below is chart with data, and scatterplot of this set of data with two lines one of which is the movable line (black), and the second one is the least squares (red) regression line.




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Last modified on November 12, 2001.