# Power regression Calculator

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

 Power regression: y=AxB
 （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$\normal\ Power\ regression\vspace{10}\\(1)\ mean:\ \bar{lnx}={\large \frac{{\small \sum}{lnx_i}}{n}},\hspace{10}\bar{lny}={\large \frac{{\small \sum}{lny_i}}{n}}\\[10](2)\ trend\ line:\ y=Ax^B,\hspace{10} B={\normal \frac{Sxy}{Sxx}},\hspace{10} A=exp{\bar{lny}-B\bar{lnx}}\\[10]\\(3)\ correlation\ coefficient:\ r=\frac{\normal S_{xy}}{\normal sqrt{S_{xx}}sqrt{S_{yy}}}\\\hspace{20}S_{xx}={\large \frac{{\small \sum}(lnx_i-\bar{lnx})^2}{n}}={\large \frac{{\small \sum} lnx_i^2}{n}}-\bar{lnx}^2\\\hspace{20}S_{yy}={\large \frac{{\small \sum}(lny_i-\bar{lny})^2}{n}}={\large \frac{{\small \sum} lny_i^2}{n}}-\bar{lny}^2\\\hspace{20}S_{xy}={\large \frac{{\small \sum}(lnx_i-\bar{lnx})(lny_i-\bar{lny})}{n}}={\large \frac{{\small \sum} lnx_i lny_i}{n}}-\bar{lnx}\bar{lny}\\$

Thank you for your questionnaire.
Sending completion

To improve this 'Power regression Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?
Comment/Request (Click here to report a bug).Bug report (Click here to report questionnaire.）
Calculation bug(Please enter information such as specific input values, calculation result, correct result, and reference materials (URL and documents).)
Text bug(Please enter information such as wrong and correct texts)
Your feedback and comments may be posted as customer voice.