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Mathematics20251 markNumericalLinear RegressionTool: Regression lines calculator

Solve the following.

Mean of x = 53, mean of y = 28 regression co-efficient y on x = -1 · 2, regression co-efficient x…

Mean of $x = 53$, mean of $y = 28$ regression co-efficient $y \text{ on } x = -1 \cdot 2$, regression co-efficient $x \text{ on } y = -0 \cdot 3$. Find coefficient of correlation (r).

Answer

Answer

Official answer key
Given: $\bar{x} = 53$, $\bar{y} = 28$, $b_{yx} = -1.2$, $b_{xy} = -0.3$ Using, $r^2 = b_{yx} \times b_{xy} = -1.2 \times -0.3 = 0.36$ $\Rightarrow r = -0.6$ ANS : $-0.6$

Final answer: -0.6