# 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 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 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$\normal\ ab{\tiny -}Exponential\ regression\vspace{10}\\(1)\ mean:\ \bar{x}={\large \frac{{\small \sum}{x_i}}{n}},\hspace{10}\bar{lny}={\large \frac{{\small \sum}{lny_i}}{n}}\\[10](2)\ trend\ line:\ y=AB^x,\hspace{10} B=exp{\normal \frac{Sxy}{Sxx}},\hspace{10} A=exp{\bar{lny}-\bar{x}lnB}\\[10]\\(3)\ correlation\ coefficient:\ r=\frac{\normal S_{xy}}{\normal sqrt{S_{xx}}sqrt{S_{yy}}}\\\hspace{20}S_{xx}={\large \frac{{\small \sum}(x_i-\bar{x})^2}{n}}={\large \frac{{\small \sum} x_i^2}{n}}-\bar{x}^2\\\hspace{20}S_{yy}={\large \frac{{\small \sum}(lny_i-\bar{lny})^2}{n}}={\large \frac{{\small \sum} lny_i^2}{n}}-\bar{lny}^2\\\hspace{20}S_{xy}={\large \frac{{\small \sum}(x_i-\bar{x})(lny_i-\bar{lny})}{n}}={\large \frac{{\small \sum} x_i lny_i}{n}}-\bar{x}\bar{lny}\\$

ab-Exponential regression
 [1-10] /54 Disp-Num5103050100200
[1]  2019/04/04 23:45   Male / Under 20 years old / Elementary school/ Junior high-school student / Not at All /
Purpose of use
To find the SLOPE
Comment/Request
[2]  2019/03/20 23:37   Male / 40 years old level / A teacher / A researcher / Useful /
Purpose of use
[3]  2019/02/26 14:57   Male / Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
Finding Microsoft Stock regression exponential equation line throughout time
Comment/Request
Please add in the equation itself or put it in a more clear place.
[4]  2019/02/11 12:03   Male / 30 years old level / A teacher / A researcher / Very /
Purpose of use
Comparing regression models for personal financial data.
[5]  2019/01/22 10:36   Male / Under 20 years old / High-school/ University/ Grad student / Not at All /
Purpose of use
trying to find exponential growth and decay on casio fx calculator
Comment/Request
put instructions on how to do this ( above )
[6]  2019/01/20 07:06   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Finding prime number regression line.
[7]  2019/01/18 05:50   - / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Defeating The Angel Problem in the most effecient way without knowing the Angel's speed.
[8]  2019/01/03 13:15   Male / Under 20 years old / Elementary school/ Junior high-school student / Useful /
Purpose of use
math homework
Comment/Request
add predictions for y-values after a certain amount of time
[9]  2018/12/04 12:49   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Homework
[10]  2018/12/04 12:43   Male / Under 20 years old / Elementary school/ Junior high-school student / A little /
Purpose of use
find equation of exponential line

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