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Flip to reveal answersWhat is the regression line of y on x?
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All 9 Flashcards — Regression line
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Question
What is the regression line of y on x?
Answer
The best-fit line y = ax + b used to predict y from x.
Question
How do you find the regression line on Paper 2?
Answer
Enter the two lists and run linear regression (LinReg) — it gives a and b.
Question
What does the gradient a represent?
Answer
The change in y for each 1-unit increase in x.
Question
What does the intercept b represent?
Answer
The predicted value of y when x = 0.
Question
Which point does every regression line pass through?
Answer
The mean point (x̄, ȳ).
Question
How can you find a mean if you know the line and the other mean?
Answer
Substitute the known mean into y = ax + b (the mean point is on the line).
Question
How do you find both means from the two regression lines?
Answer
Solve the line of y on x and the line of x on y simultaneously — they meet at (x̄, ȳ).
Question
Which line predicts y from x?
Answer
The regression line of y on x.
Question
Which line predicts x from y?
Answer
The regression line of x on y.
Read the notes
Full study notes for Regression line
Topic 4.4 hub
Correlation & regression
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Math AA SL exam skills
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