The centroid and the regression Line
http://illuminations.nctm.org/LessonDetail.aspx?ID=L457
A lesson plan for grades 9–12 Mathematics
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Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting. Illuminations provides a link to the regression line applet and detailed instructions for completing the lesson.
Students will:
- Investigate the centroid of a data set and its significance for the line fitted to the data.
NCTM Standards and Expectations:
- Recognize how linear transformations of univariate data affect shape, center, and spread.
- For bivariate measurement data, be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools.
- Display and discuss bivariate data where at least one variable is categorical.
North Carolina Curriculum Alignment
