Line of Best Fit.

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Presentation transcript:

Line of Best Fit

Work 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 to make a prediction for the height at: • 21 months • 28 months • 20 years

Line of Best Fit Definition - A Line of Best Fit 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

Equation For Line of Best Fit y = 0.6618x + 64.399 X (months) Formula Y (inches) 21 0.6618(21) + 64.399 28 0.6618(28) + 64.399 240 0.6618(240) + 64.399 78.3 82.9 223.3

Predicting Data with Scatterplots Interpolation - 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: Interpolation Less accurate: Extrapolation