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Unit 09 Two-Variable Statistics Lesson 02 Linear Models

Unit 09 Two-Variable Statistics Lesson 02 Linear Models 2025

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The document discusses the analysis of bi-variate data sets, focusing on linear models and their application in understanding population changes over time. It emphasizes the importance of graphing data, estimating trend lines, and calculating residuals to evaluate the fit of a model. Using U.S. Census data from Carbon County, Utah, and other counties, it illustrates how to create scatter plots, derive equations for best-fit lines, and assess correlations through the correlation coefficient. The lessons aim to equip students with skills in statistical analysis using both manual methods and technology.

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Click ‘Get Form’ to open the Unit 09 Two-Variable Statistics Lesson 02 Linear Models document in the editor.
Begin by reviewing the data table provided for Carbon County, Utah. Familiarize yourself with the population numbers from 1900 to 2010.
Use the graphing tools available in our editor to create a scatter plot of the population data against the years. Ensure you label your axes appropriately.
Next, estimate a trend line that best fits your scatter plot. You can do this by visually assessing where a line would best represent the data points.
Once you have your estimated trend line, utilize our platform's features to calculate and display the equation of this line directly on your graph.
Finally, analyze the residuals by calculating how far each data point is from your trend line. Use our platform’s calculation tools to assist with this process.

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