2011•Guangdong nongye kexueOpen access

Study on leaf area regression equation for 'Cangfangzaosheng' peach

Song Xiu-li

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Abstract

The relation of leaf length(x1),leaf width(x2)and leaf length× leaf width with leaf area(LA,y) was studied in 'Cangfangzaosheng' peach.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 0.9171,0.9445 and 0.9753 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 0.9862,0.9876 and 0.9876 respectively,and the difference was extremely significant.On the base of these analysis results,the simple linearity regress equation of leaf length,leaf width and leaf length × leaf width with leaf 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 'Cangfangzaosheng' peach could be calculated by these six regression equations.Among them,the computing result of binary regression equation(y=128.6112+0.2677x1+0.6178x1x2) from leaf length added leaf length × leaf width with leaf area and the binary regression equation(y=-59.0612+11.4454x2+0.5823x1x2) from leaf width added leaf length × leaf width leaf area were more precise.The regression equation could be choose according to the requirement of accuracy and the workload of calculation during specific application.

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What this paper is about

The relation of leaf length(x1),leaf width(x2)and leaf length× leaf width with leaf area(LA,y) was studied in 'Cangfangzaosheng' peach.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 0.9171,0.9445 and 0.9753 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 0.9862,0.9876 and 0.9876 respectively,and the difference was extremely significant.On the base of these analysis results,the simple linearity regress equation of leaf length,leaf width and leaf length × leaf width with leaf 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 'Cangfangzaosheng' peach could be calculated by these six regression equations.Among them,the computing result of binary regression equation(y=128.6112+0.2677x1+0.6178x1x2) from leaf length added leaf length × leaf width with leaf area and the binary regression equation(y=-59.0612+11.4454x2+0.5823x1x2) from leaf width added leaf length × leaf width leaf area were more precise.The regression equation could be choose according to the requirement of accuracy and the workload of calculation during specific application.

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Available abstract

The relation of leaf length(x1),leaf width(x2)and leaf length× leaf width with leaf area(LA,y) was studied in 'Cangfangzaosheng' peach.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 0.9171,0.9445 and 0.9753 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 0.9862,0.9876 and 0.9876 respectively,and the difference was extremely significant.On the base of these analysis results,the simple linearity regress equation of leaf length,leaf width and leaf length × leaf width with leaf 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 'Cangfangzaosheng' peach could be calculated by these six regression equations.Among them,the computing result of binary regression equation(y=128.6112+0.2677x1+0.6178x1x2) from leaf length added leaf length × leaf width with leaf area and the binary regression equation(y=-59.0612+11.4454x2+0.5823x1x2) from leaf width added leaf length × leaf width leaf area were more precise.The regression equation could be choose according to the requirement of accuracy and the workload of calculation during specific application.

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

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