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Line of Best Fit
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Work with your group to make a prediction for the height at:
Age (months) Height (inches) 18 76.1 19 77 20 78.1 21 22 78.8 23 79.7 24 79.9 25 81.1 26 81.2 27 82.8 28 29 83.5 Work with your group to make a prediction for the height at: • 21 months • 28 months • 20 years
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Line of Best Fit Definition - A Line of Best is a straight line on a Scatterplot that comes closest to all of the dots on the graph. A Line of Best Fit does not touch all of the dots. A Line of Best Fit is useful because it allows us to: Understand the type and strength of the relationship between two sets of data Predict missing Y values for given X values, or missing X values for given Y values
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Equation For Line of Best Fit
y = x X (months) Formula Y (inches) 21 0.6618(21) 28 0.6618(28) 240 0.6618(240) 78.3 82.9 223.3
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Predicting Data with Scatterplots
Interpretation - Making a prediction for an unknown Y value based on a given X value within a range of known data Extrapolation - Making a prediction for an unknown Y value based on a given X value outside of a range of known data More accurate: Interpretation Less accurate: Extrapolation
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