Interpolation and Extrapolation (HSC SSCE Mathematics Standard): Quizzes

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Interpolation and Extrapolation
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What does interpolation mean when using a regression line?

Estimating values within existing data

What does extrapolation involve?

Predicting values outside the data range

What does the gradient (mm) of a regression line tell us?

Change in dependent variable per unit

Where does the vertical intercept (bb) appear on a graph?

Where the line crosses the y-axis

Which prediction method is generally more reliable?

Interpolation

If data shows a strong linear association, what can we say about predictions?

We can be confident they are accurate

A dataset covers years 2000-2020. Predicting for 2015 is an example of what?

Interpolation

What happens as you extrapolate further from your data?

Predictions become less reliable

What does the vertical intercept represent?

Value when independent variable is zero

Why must we be cautious when extrapolating far beyond our dataset?

Relationships may change outside the range

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