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Comparing Two Lines of Fit for Study Hours vs. Test Scores

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-

Course: Algebra Book: Algebra 1 · Big Ideas Math · Ron Larson Chapter: Chapter 4-

Question

Question:
A data set records the number of hours studied and the corresponding test scores. Study hours go from 1 to 8. The test scores for those hours are 52, 61, 58, 78, 82, 87, 89, and 95. Part a: Plot the data and identify any points that appear to be outliers. Part b: Determine a line of best fit for all 8 data points, and write the equation in the form y equals m x plus b. Part c: Determine a second line of best fit by removing the outlier or outliers, and write that equation. Part d: Compare the two lines. Which equation would you recommend for making predictions? Justify your choice with at least two reasons.

Comparing Two Lines of Fit for Study Hours vs. Test Scores

This lesson explores how to find a least-squares line of best fit for a scatter plot, identify outliers visually and numerically, and compare two regression lines — one with and one without the outlier — to determi

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