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Answer the following on regression and correlation.
Consider the following table: 3 5 ? 6 1 ? 3 2 If and , calculate .
Consider the following table:
If $b_{xy} = \dfrac{-1}{2}$ and $r^2 = \dfrac{1}{20}$, calculate $b_{yx}$.
| $x$ | 3 | 5 | ? | 6 |
|---|---|---|---|---|
| $y$ | 1 | ? | 3 | 2 |
Answer
Answer
AI$r^2 = b_{xy}\cdot b_{yx}$, so $b_{yx} = \dfrac{r^2}{b_{xy}} = \dfrac{1/20}{-1/2} = -\dfrac{1}{10}$.
Final answer: $-\dfrac{1}{10}$
From ISC 2025 Improvement Mathematics Paper 1, question 19(iii)(b).