Correlation the mass of grapefruit to some physical attributes

Authors:
Feizollah Shahbazi, Satar Rahmati

Volume 19, Issue 1;
Pages: 43-47;
ISSN: 2069-0053 (print) (former ISSN: 1453-1399), Agroprint;
ISSN (online): 2068-9551
Abstract:
The aim of this research to present some physical properties of grapefruit. In addition, in this study the mass of grapefruit was correlated to different physical characteristics in four models including: Linear, Quadratic, S-curve, and Power as three different classifications: (1) Single variable regressions of grapefruit dimensional characteristics, (2) Single variable regressions of grapefruit mass based on projected areas and (3) estimating the grapefruit mass based on its volumes. The results showed that mass modeling of grapefruit based on width and second projected area were the most appropriate ones in the first and the second classifications, respectively. In third classification, the best model was obtained based on the oblate volume as M=-15.693+0.001Vosp-1.219×10-9Vosp with R2=0.953 whereas corresponding values were 0.924 and 0.897 for assumed grapefruit shapes (ellipsoid spheroid and actual), respectively. In the economical and agronomical point of view, suitable grading system of grapefruit mass was ascertained based on width as Quadratic form: M=490.564-13.593W+0.313W2, R2=0.919.
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