Latex formula code

 

\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
$t_r=\frac{\vert r-0\vert}{\sqrt{\frac{1-r^2}{n-2}}}$\\
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$v=n-2$\\
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$r=\frac{\Sigma(X-\bar{X})(Y-\bar{Y})}{\sqrt{\Sigma(X-\bar{X})^2\Sigma(Y-\bar{Y})^2}}=\frac{l_{xy}}{\sqrt{l_{xy}l_{yy}}}$
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$l_{xx}=\Sigma(X-\bar{X})^2$
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$l_{yy}=\Sigma(Y-\bar{Y})^2$
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$l_{xy}=\Sigma(X-\bar{X})(Y-\bar{Y})$
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$r=\frac{N\Sigma x_i y_i -\Sigma x_i\Sigma y_i}{\sqrt{N\Sigma x_i^2-(\Sigma x_i)^2 }\sqrt{N\Sigma y_i^2-(\Sigma y_i)^2}}$
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$W=(w_i,...w_n)^T$
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$a_{ij}=\frac{w_i}{w_j}$
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 $ZI_i=\sum\limits_{n = 1}^{6} w_j \times p_{ij}$ 
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$P_1=\frac{x_1 - min}{max-min}=1$
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$P_2=\frac{x_2 - min}{max-min}=1$
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$P_3=\frac{x_3 - min}{max-min}\approx 0.5$
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$P_4=\frac{x_4 - min}{max-min}\approx 0.8$
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$P_5=\frac{x_5 - min}{max-min}\approx 0.8$
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$P_5=\frac{x_5 - min}{max-min}\approx 0.6$
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$ZI=0.1047x_1 + 0.1541x_2 + 0.2487x_3 + 0.2802x_4 + 0.2124x_5+x_6$
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$ZI=0.1047x_1 + 0.1541x_2 + 0.12435x_3 + 0.22416x_4 + 0.166992x_5 + 0.6x_6$


\end{document}