Regression & prediction
Practice Flashcards
How do you predict a value using a regression line?
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All Flashcards in Topic 4.10
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4.10.19 cards
How do you predict a value using a regression line?
Substitute the known value into the line (y = ax + b for y from x).
Which line predicts y from x?
The regression line of y on x.
What is interpolation?
Predicting a value inside the range of the original data — generally reliable.
What is extrapolation?
Predicting a value outside the range of the data — generally unreliable.
Why is extrapolation unreliable?
The relationship may not continue outside the data range.
When is a prediction most reliable?
When it is interpolation AND the correlation is strong (|r| close to 1).
Can an interpolated prediction be unreliable?
Yes — if the correlation is weak, even interpolation is unreliable.
What two things should you comment on for reliability?
Whether it's interpolation/extrapolation, and the strength of r.
Does a strong r make extrapolation safe?
No — predicting outside the data is unreliable regardless of r.
Topic 4.10 study notes
Full notes & explanations for Regression & prediction
Math AA SL exam skills
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