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Flip to reveal answersHow do you predict a value using a regression line?
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All 9 Flashcards — Prediction
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Question
How do you predict a value using a regression line?
Answer
Substitute the known value into the line (y = ax + b for y from x).
Question
Which line predicts y from x?
Answer
The regression line of y on x.
Question
What is interpolation?
Answer
Predicting a value inside the range of the original data — generally reliable.
Question
What is extrapolation?
Answer
Predicting a value outside the range of the data — generally unreliable.
Question
Why is extrapolation unreliable?
Answer
The relationship may not continue outside the data range.
Question
When is a prediction most reliable?
Answer
When it is interpolation AND the correlation is strong (|r| close to 1).
Question
Can an interpolated prediction be unreliable?
Answer
Yes — if the correlation is weak, even interpolation is unreliable.
Question
What two things should you comment on for reliability?
Answer
Whether it's interpolation/extrapolation, and the strength of r.
Question
Does a strong r make extrapolation safe?
Answer
No — predicting outside the data is unreliable regardless of r.
Read the notes
Full study notes for Prediction
Topic 4.10 hub
Regression & prediction
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