# ab-Exponential regression Calculator

## Analyzes the data table by ab-exponential regression and draws the chart.

 ab-Exponential regression: y=ABx
 （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$\normal\ ab{\tiny -}Exponential\ regression\vspace{10}\\(1)\ mean:\ \bar{x}={\large \frac{{\small \sum}{x_i}}{n}},\hspace{10}\bar{lny}={\large \frac{{\small \sum}{lny_i}}{n}}\\[10](2)\ trend\ line:\ y=AB^x,\hspace{10} B=exp{\normal \frac{Sxy}{Sxx}},\hspace{10} A=exp{\bar{lny}-\bar{x}lnB}\\[10]\\(3)\ correlation\ coefficient:\ r=\frac{\normal S_{xy}}{\normal sqrt{S_{xx}}sqrt{S_{yy}}}\\\hspace{20}S_{xx}={\large \frac{{\small \sum}(x_i-\bar{x})^2}{n}}={\large \frac{{\small \sum} x_i^2}{n}}-\bar{x}^2\\\hspace{20}S_{yy}={\large \frac{{\small \sum}(lny_i-\bar{lny})^2}{n}}={\large \frac{{\small \sum} lny_i^2}{n}}-\bar{lny}^2\\\hspace{20}S_{xy}={\large \frac{{\small \sum}(x_i-\bar{x})(lny_i-\bar{lny})}{n}}={\large \frac{{\small \sum} x_i lny_i}{n}}-\bar{x}\bar{lny}\\$

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