Line of Best Fit, Interpolation, and Extrapolation (HSC SSCE Mathematics Standard): Flashcards

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Line of Best Fit, Interpolation, and Extrapolation
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Line of best fit

Straight line representing linear association on scatterplot

Equation of line of best fit

y=mx+cy = mx + c

mm in y=mx+cy = mx + c

Gradient (slope) of the line

cc in y=mx+cy = mx + c

yy-intercept (where line crosses vertical axis)

Key principle when drawing line of best fit

Points roughly balanced above and below the line

Gradient (mm) shows

Change in dependent variable per 1 unit increase in independent

Interpolation

Estimating values within the range of existing data

Extrapolation

Predicting values outside the range of existing data

Reliability of interpolation

Generally reliable, especially with strong linear association

Caution with extrapolation

Less reliable; linear relationship may not continue beyond data

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