# Inverse regression Calculator

## Analyzes the data table by inverse regression and draws the chart.

 Inverse regression: $y=A+{\large \frac{B}{x}}$
 （input by clicking each cell in the table below） data
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 Guidelines for interpreting correlation coefficient r :　　0.7＜|r|≦1        strong correlation　　0.4＜|r|＜0.7     moderate correlation　　0.2＜|r|＜0.4     weak correlation　　0≦|r|＜0.2         no correlation$\normal\ Inverse\ regression\vspace{10}\\(1)\ mean:\ \bar{x^{\tiny -1}}={\large \frac{{\small \sum}{x_i^{\tiny -1}}}{n}},\hspace{10}\bar{y}={\large \frac{{\small \sum}{y_i}}{n}}\\[10](2)\ trend\ line:\ y=A+{\large \frac{B}{x}},\hspace{10} B={\large\frac{Sxy}{Sxx}},\hspace{10} A=\bar{y}-B\bar{x^{\tiny -1}}\\[10]\\(3)\ correlation\ coefficient:\ r=\frac{\normal S_{xy}}{\normal sqrt{S_{xx}}sqrt{S_{yy}}}\\\hspace{20}S_{xx}={\large \frac{{\small \sum}(x_i^{\tiny -1}-\bar{x^{\tiny -1}})^2}{n}}={\large \frac{{\small \sum} (x_i^{\tiny -1})^2}{n}}-\bar{x^{\tiny -1}}^2\\\hspace{20}S_{yy}={\large \frac{{\small \sum}(y_i-\bar{y})^2}{n}}={\large \frac{{\small \sum} y_i^2}{n}}-\bar{y}^2\\\hspace{20}S_{xy}={\large \frac{{\small \sum}(x_i^{\tiny -1}-\bar{x^{\tiny -1}})(y_i-\bar{y})}{n}}={\large \frac{{\small \sum} x_i^{\tiny -1} y_i}{n}}-\bar{x^{\tiny -1}}\bar{y}\\$

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