Analysis and Making Good Fitting Degree Test for Logistic Curve Regression Equation
Dangqun Cui
Abstract
Dangqun Cui
Abstract
To make full use of the information of Logistic curve we obtained the cut points:beginning fast growth period,the fastest growth period,lowest growth period were t1=(lna-1.317)/b,t2=(lna)/b,t3=(lna+1.317)/b,by first and second derivative of velocity function of increasing or growth process of logistic curve. And using two yieding point of the velocity function,the increasing or growth process of Logistic curve was divided into gradually growth period (t=0~(lna-1.317)/b)、fast growth period(t=(lna-1.317)/b~(lna+1.317)/b)、solw growth period(t=(lna+1.317)/b)~∞).for fitting a good Logistic curve regression equation the adopting x~2 test was recommended. And a living example was analyzed and discussed.
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To make full use of the information of Logistic curve we obtained the cut points:beginning fast growth period,the fastest growth period,lowest growth period were t1=(lna-1.317)/b,t2=(lna)/b,t3=(lna+1.317)/b,by first and second derivative of velocity function of increasing or growth process of logistic curve. And using two yieding point of the velocity function,the increasing or growth process of Logistic curve was divided into gradually growth period (t=0~(lna-1.317)/b)、fast growth period(t=(lna-1.317)/b~(lna+1.317)/b)、solw growth period(t=(lna+1.317)/b)~∞).for fitting a good Logistic curve regression equation the adopting x~2 test was recommended. And a living example was analyzed and discussed.
Key concepts: Logistic function, Logistic regression, Growth curve (statistics), Mathematics, Statistics, Curve fitting, Function (biology), Period (music)