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Soil temperature (X) and germination interval (Y) for winter wheat in 12 places are as follows :

written 8.7 years ago by teamques10 ★ 69k

modified 3.0 years ago by sagarkolekar ★ 11k

Calculate the coefficient of correlation between x and y.

engineering mathematics

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written 8.7 years ago by teamques10 ★ 69k

By actual mean method :

$$\overline{X}=\ \frac{\sum{X}}{N}=\ \frac{523}{12}=43.86 , \overline{Y}=\ \frac{\sum{Y}}{N}=\ \frac{309}{12}=25.25$$ $$b_{xy}=\ \frac{\sum{xy}}{\sum{x^2}} = \frac{-319.25}{252.912}=\ -1.26$$ $$b_{xy}=\ \ \frac{\sum{xy}}{\sum{y^2}}=\ \frac{-319.25}{736.255}=\ -0.4336$$ $$r = \sqrt{b_{xy}*b_{yx}\ }=\ \sqrt{-0.4336*\ -1.26}=\ 0.739$$

Since $b_{xy}$ and $b_{yx}$ both are negative

Therefore , coefficient of correlation (r) is negative = -0.739

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