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Answer the following on regression and correlation.

Consider the following table: 3 5 ? 6 1 ? 3 2 Frame the line of best fit on .

Mathematics20251 markShort answer
Consider the following table:
$x$35?6
$y$1?32
Frame the line of best fit $y$ on $x$.

Answer

Answer

AI
Line of best fit of $y$ on $x$: $y - \bar{y} = b_{yx}(x - \bar{x})$ with $\bar{x} = 4,\ \bar{y} = 2,\ b_{yx} = -\dfrac{1}{10}$. $y - 2 = -\dfrac{1}{10}(x - 4)$, that is $x + 10y - 24 = 0$ ($y = -0.1x + 2.4$). (Direct check from the completed table: $b_{yx} = \dfrac{\sum xy - n\bar{x}\bar{y}}{\sum x^2 - n\bar{x}^2} = \dfrac{31 - 32}{74 - 64} = -\dfrac{1}{10}$.)
Linear Regression

From ISC 2025 Improvement Mathematics Paper 1, question 19(iii)(c).