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Study on Leaf Area Regression Equation for 'Dajiubao' Peach

Song Xiu-li

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Abstract

Taking 'Dajiubao' peach leaf as tested materials,the relation of leaf length(x1),leaf width(x2) and leaf length × leaf width with leaf area(LA,y) was studied.The results showed that there was a significantly positive correlation between leaf area and leaf length,leaf width and leaf length × leaf width, and the correlation coefficient was 0.9203,0.9297 and 0.9764,respectively;the multiple correlation coefficient of leaf length added leaf width,leaf length added leaf length × leaf width,leaf width added leaf length × leaf width with leaf area was 0.9866,0.9884 and 0.9884,respectively,and the difference was extremely significant.On the base of these analysis results,the simple linearity regression equation of leaf length,leaf width and leaf length × leaf width with leaf area was established.At the same time,the binary regression equation was established for leaf length added leaf width with leaf area,leaf length added leaf length × leaf width with leaf area,leaf width added leaf length × leaf width with leaf area.The leaf area of 'Dajiubao' peach could be calculated by these six regression equations.Among them,the computing result of binary regression equation(y=490.6048-4.9315x1+0.6816x1x2) and the binary regression equation(y=-213.244+18.6115x2+0.5527x1x2) were more precise.The regression equation could be chosen according to the requirement of accuracy and the workload of calculation during specific application.

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What this paper is about

Taking 'Dajiubao' peach leaf as tested materials,the relation of leaf length(x1),leaf width(x2) and leaf length × leaf width with leaf area(LA,y) was studied.The results showed that there was a significantly positive correlation between leaf area and leaf length,leaf width and leaf length × leaf width, and the correlation coefficient was 0.9203,0.9297 and 0.9764,respectively;the multiple correlation coefficient of leaf length added leaf width,leaf length added leaf length × leaf width,leaf width added leaf length × leaf width with leaf area was 0.9866,0.9884 and 0.9884,respectively,and the difference was extremely significant.On the base of these analysis results,the simple linearity regression equation of leaf length,leaf width and leaf length × leaf width with leaf area was established.At the same time,the binary regression equation was established for leaf length added leaf width with leaf area,leaf length added leaf length × leaf width with leaf area,leaf width added leaf length × leaf width with leaf area.The leaf area of 'Dajiubao' peach could be calculated by these six regression equations.Among them,the computing result of binary regression equation(y=490.6048-4.9315x1+0.6816x1x2) and the binary regression equation(y=-213.244+18.6115x2+0.5527x1x2) were more precise.The regression equation could be chosen according to the requirement of accuracy and the workload of calculation during specific application.

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Available abstract

Taking 'Dajiubao' peach leaf as tested materials,the relation of leaf length(x1),leaf width(x2) and leaf length × leaf width with leaf area(LA,y) was studied.The results showed that there was a significantly positive correlation between leaf area and leaf length,leaf width and leaf length × leaf width, and the correlation coefficient was 0.9203,0.9297 and 0.9764,respectively;the multiple correlation coefficient of leaf length added leaf width,leaf length added leaf length × leaf width,leaf width added leaf length × leaf width with leaf area was 0.9866,0.9884 and 0.9884,respectively,and the difference was extremely significant.On the base of these analysis results,the simple linearity regression equation of leaf length,leaf width and leaf length × leaf width with leaf area was established.At the same time,the binary regression equation was established for leaf length added leaf width with leaf area,leaf length added leaf length × leaf width with leaf area,leaf width added leaf length × leaf width with leaf area.The leaf area of 'Dajiubao' peach could be calculated by these six regression equations.Among them,the computing result of binary regression equation(y=490.6048-4.9315x1+0.6816x1x2) and the binary regression equation(y=-213.244+18.6115x2+0.5527x1x2) were more precise.The regression equation could be chosen according to the requirement of accuracy and the workload of calculation during specific application.

Key concepts: Leaf size, Mathematics, Regression analysis, Leaf blade, Horticulture, Botany, Biology, Statistics

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