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Analysis on measure correlation of Xingao pear's leaf area and establishment of its regression equation.

Chuanlai Zhang, You Bing Yang, Wenqing Jia, Zhang XueXi

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Abstract

The correlations between leaf area and leaf length,leaf width leaf length leaf width were analyzed by measuring the climax leaves of Xingao pear.The results showed that the relations between leaf area and leaf length,leaf width,leaf length leaf width were the positive correlation and their correlation coefficients were 0.9093,0.8316 and 0.9488 respectively,the multiple correlation coefficients among leaf length,leaf width and leaf area,leaf length,leaf length leaf width and leaf area,leaf width,leaf length leaf width and leaf area were 0.9560,0.9489 and 0.9494 respectively and their difference reached at the very significant level.Three simple linear regression equations between leaf area and leaf length,leaf width,leaf length leaf width and three quadratic regression equations among leaf length,leaf width and leaf area,leaf length,leaf length leaf width and leaf area,leaf width,leaf length leaf width and leaf area were established and six regression equations all can be used in measurement of Xingao pear's leaf area.The quadratic regression equation among leaf length,leaf width and leaf area,y=-19.612+3.672x1+5.202x2 is of more accuracy and the regression equation should be selected in actual application according to the accuracy demand and measure work load.

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What this paper is about

The correlations between leaf area and leaf length,leaf width leaf length leaf width were analyzed by measuring the climax leaves of Xingao pear.The results showed that the relations between leaf area and leaf length,leaf width,leaf length leaf width were the positive correlation and their correlation coefficients were 0.9093,0.8316 and 0.9488 respectively,the multiple correlation coefficients among leaf length,leaf width and leaf area,leaf length,leaf length leaf width and leaf area,leaf width,leaf length leaf width and leaf area were 0.9560,0.9489 and 0.9494 respectively and their difference reached at the very significant level.Three simple linear regression equations between leaf area and leaf length,leaf width,leaf length leaf width and three quadratic regression equations among leaf length,leaf width and leaf area,leaf length,leaf length leaf width and leaf area,leaf width,leaf length leaf width and leaf area were established and six regression equations all can be used in measurement of Xingao pear's leaf area.The quadratic regression equation among leaf length,leaf width and leaf area,y=-19.612+3.672x1+5.202x2 is of more accuracy and the regression equation should be selected in actual application according to the accuracy demand and measure work load.

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Available abstract

The correlations between leaf area and leaf length,leaf width leaf length leaf width were analyzed by measuring the climax leaves of Xingao pear.The results showed that the relations between leaf area and leaf length,leaf width,leaf length leaf width were the positive correlation and their correlation coefficients were 0.9093,0.8316 and 0.9488 respectively,the multiple correlation coefficients among leaf length,leaf width and leaf area,leaf length,leaf length leaf width and leaf area,leaf width,leaf length leaf width and leaf area were 0.9560,0.9489 and 0.9494 respectively and their difference reached at the very significant level.Three simple linear regression equations between leaf area and leaf length,leaf width,leaf length leaf width and three quadratic regression equations among leaf length,leaf width and leaf area,leaf length,leaf length leaf width and leaf area,leaf width,leaf length leaf width and leaf area were established and six regression equations all can be used in measurement of Xingao pear's leaf area.The quadratic regression equation among leaf length,leaf width and leaf area,y=-19.612+3.672x1+5.202x2 is of more accuracy and the regression equation should be selected in actual application according to the accuracy demand and measure work load.

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

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Analysis on measure correlation of Xingao pear's leaf area and establishment of its regression equation. — Research Paper | ScholarLens