# ANALYSIS OF THE CORRELATION AND REGRESSION COEFFICIENTS OF THE INTERACTION BETWEEN YIELD AND SOME PARAMETERS OF SNAP BEANS PLANTS

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1 Trakia Journal of Sciences, Vol. 3, No. 6, pp 27-31, 2005 Copyright 2005 Trakia University Available online at: ISSN Original Contribution ANALYSIS OF THE CORRELATION AND REGRESSION COEFFICIENTS OF THE INTERACTION BETWEEN YIELD AND SOME PARAMETERS OF SNAP BEANS PLANTS N. Shaban* University of Forestry, Fac. of Agriculture, Dept. Horticulture 10, Kliment Ohridski Blvd.; Sofia 1756 ABSTRACT Determination of correlation, regression coefficient and coefficient of determination between the yield of snap bean with some parameters of growth and plant development, shows the interaction between them and the significance of these relationships. The results showed that the yield was highly related to significant differences among the pods fresh weight/experimental unit (r= ), the index of productivity (r= ), pods fresh weight/ plant ( ), pods number/plant (r= ). There was a negative value of correlation coefficient between yield and the weeds infestation (number and fresh weight) in the sown field on one part and the snap bean plants is (r= ). Key words: snap bean, correlation coefficient, parameters, yield INTRODUCTION Correlation is a measure of the relationship between two or more variables1 The measurement scales used should be at least interval scales, but other correlation coefficients are available to handle other types of data. Correlation coefficients can range from to The value of represents a perfect negative correlation while a value of represents a perfect positive correlation. A value of 0.00 represents a lack of correlation. Results of analysis of the interaction of yield from some parameters of snap bean plants- quality of bean production, physiological process during growth and development of plants, chemical contents of pods-macro and micro nutrients gave valuable information about which steps of agro techniques of snap bean growing needs more attention to enhance best quality and quantity of yield. Between the symptoms of live organisms there are dialectic relations, which influenced each others and depended on the abiotic factors of environment affected on their formation. * Correspondence to: Nidal Thabit Shaban, University of Forestry, Fac. of Agriculture, Dept. Horticulture, 10 Kliment Ohridski Blvd.; Sofia 1756 This relation some time could be determined very easily, but often must be determined exactly (Zaprianov, 1983). Examples of this include: plant productivity related with the efficacious plant nutrition with its interaction with other factors of the environment (humidity, temperature, light conditions etc.), any change in the values of each factor results in many other changes. RESULTS AND DISCUSSIONS 1. Main part of the quality parameters of snap bean pods related with positive correlation coefficient with yield of plants(r= to ) Table 1 shows high step of correlation coefficient with significant differences between the fresh weight of pods from the experimental unit and the yield (r= ), followed by the index of productivity which expresses the fresh weight of pods, length and width(r= ) and with fresh weight of snap bean pods (r= ). The results show high correlation coefficient between the yield and number of pods formation per plant(r= ) and between the yield and fresh weight of snap bean plant (r= ), as shown in Figure 2. Trakia Journal of Sciences, Vol. 3, No. 6,

2 Table 1: Correlation and determination coefficient between yield and some parameters of snap bean plants Relations between yield and : coefficients: correlation r determination r 2 Morphological parameters 1 Plant density, number Index of productivity, К Plant height after 1 st treatment, cm Plant height after 2 nd treatment, cm Leaves number/plant after 1 st treatment Leaves number/plant after 2 nd treatment Flowers/plant, number Fruits (pods)/ plant, number FW of snap bean plants, g., after 1 st treatment FW of snap bean plants, g., at harvest time Pods/plant, number Pods weight/plant, g Pods weight/experimental unit, g Index of weed and disease injury by snap bean plants 1 Weeds number /experiment unit after І-st treatment Weeds number /experiment unit at harvest time Weed FW/experimental unit at harvest time, g FW of MW after І-st treatment. g FW of DW after І-st treatment. g Phytotoxicity from pesticides Disease injury by snap bean plants Disease injury by snap bean pods FW=fresh weight; PW=pods weight; MW=Monocotyledons; DW=Dicotyledonous Y = -25,9592-0,018 M - 0,1695 W + 6,6283 L - 0,6553 Lm + 47,6641 Lv Where: 1. Parameters of the equation R coefficient of determination; SEE standard error; p< - statistical significance 2. Members of the equation У - yield, М - fresh weight of 10 plants/m 2 W-weeds/m 2 L pods number, n Lm pods weight, g Lv - pods /variant, n R SEE P< 0,997 5,15 0,00001 The value of correlation coefficient twice increased (r= ) to express the relationship between the yield and plant height after the second treatment with pesticides and suspensions of leaf fertilizer, Lactofol, in comparison with the first treatment (r= ). Figure 1 shows the analysis of the degree of weed infestation (number and fresh weight). There is negative influence on growth and development, especially fruit setting. Phytotoxicity on the snap bean plants after the first and second treatments with pesticides+, foliar fertilizer Lactofol and the injury by disease on snap bean plants and their pods shows low value of the correlation coefficient. These results may be related with the physiological function of the leaf fertilizer Lactofol to decrease the negative effects of pesticides and diseases, as shown on Table 2. After the treatment of snap bean plants with pesticides and foliar fertilizer, the quantity of yield, decreased by the degree of weed infestation in the sown field; the correlation coefficient expressing this interaction is (r= ) after the first treatment. Approximately it is the same at the harvesting time (r= ). The analysis of the correlation between the yield and the fresh weight of the weeds at the harvesting time confirms the same mentioned tendency. The correlation coefficient between them is (r= ), as shown in Figure 3. The values of the correlation coefficient between yield of

3 snap bean plants and the degree of weeds infestation at the harvest time are with high negative expression ( r= to ). SHABAN N., et al. plants in the sowing field is (r=+ 0,131), with the flowers (number per plant) being, (r=+ 0,064). This low level of correlation coefficient may be due to the following reasons: that snap bean plants form high number flowers with low fruit set percentage related with unfavourable climatic conditions (high air temperatures with low humidity) during the vegetation of the dwarf bean cultivars in Tricia region, where the experiment had been achieved and with the dry matter in the pods was(r=+ 0,0684). Figure 1: Regression equation for yield and plant height The partial analysis shows that the dicotyledonous weeds have the highest negative effect (r= ) on the yield of snap bean plants, compared to the effect of monocotyledons ones(r= ). Figure 2: Regression equation for yield pods/ experimental unit Injuries on snap bean plants caused by application of different modifications of suspensions of foliar fertilizer Lactofol mixed with pesticides are of low degree on the growth and development of vegetable crop plants. The value of correlation coefficient between the yield and these injuries is(r=+ 0,088). The reason for the low correlation coefficient may be due to the presence of macro and micronutrients in the applied fertilizer and the pesticides, which help snap bean plants to overcome the negative effects. The value of the correlation coefficient between the yield and the density of snap bean The coefficient of determination r 2, which represents the proportion of common variation in the two variables (i.e., the "strength" or "magnitude" of the relationship) In order to evaluate the correlation between variables, it is important to know this "magnitude" or "strength" as well as the significance of the correlation. It expresses the amount of common variation between the two variables. The results of analysis of the significance of the relationship between the fresh weight of snap bean pods per experimental unit and the yield show that it could be determined by the total quantity of the yield. The value of the determination coefficient (DC) between the mentioned factors is 0.992, followed by the value of DC of the index of productivity (0.704). The partial effect of the fresh weight limited by the yield is so high (0.598) in comparison with the limiting effects of the number of pods per plant on the quantity of the yield (0.258). The limiting ability of the weed infestation on the yield quantity is obvious. DC varied from by monocotyledons to for fresh weight of weeds during the harvesting time and for dicotyledonous weeds species. The negative effects of weed infestation in sowing snap bean field increased from after the first treatment with mixed application of fertilizer Lactofol with pesticides to during the harvesting time of snap bean yield. Yield of snap bean plants depends on positive significant value from the pollen fertility and formatted pods number. The correlation coefficient between them was (r=++ 0,438; ). These results logically confirm the conclusion: flower formation in snap bean plants usually does not correlate with yield (Kumanov et all 1988). The relationships between some morphological parameters (leaves number, plant height, plant fresh weight) during the earlier period of the ontogenetic development stages and yield of snap bean plants have different values. The Trakia Journal of Sciences, Vol. 3, No. 6,

4 correlation coefficient between plant height, plant fresh weight and yield has positive values. Snap bean yield related with pods fresh weight has correlation coefficient (+ SHABAN N., et al ), pods length ( ), pods width ( ), grains number per pod ( ), pods number per experimental unit ( ), and pods number in one kilogram ( ). Figure 3: Regression equation between yield and fresh weight of weeds at harvest Physiological process in snap bean plants during their growth and development has specific effects on their productivity. Pollen fertility is the main factor affecting yield ( ) followed by stomatal conductivity ( ) intensity of photosynthesis ( ), transpiration ( ) and peroxidase activity ( ). See Table 2. Table 2: Correlation and determination coefficient between yield and some parameters of snap bean plants coefficients: Relations between yield and: correlation r determination r 2 Physiological parameters 1 Pollen fertility Transpiration Photosynthesis Stomata Peroxidase activity Catalase activity Plastid pigments 1 Dry matter, % Chlorophyll а Chlorophyll b Carotinoids с Total plastid pigments а + b + с Macro and microelements in grains 1 N- content P- content K- content Ca- content Mg- content Мо content Mn content, mg Cr content, mg Plastic pigment contents in leaves of snap bean plants treated with suspensions of the foliar fertilizer Lactofol and pesticides show unequal effects on the yield. Synthetic 30 Trakia Journal of Sciences, Vol. 3, No. 6, 2005

5 SHABAN N., et al. process of Chlorophyll a, shows a negative sign (- 0,074) with the yield, while Chlorophyll b shows a yield relationship with correlation coefficient (- 0,004). The same tendency exists between the content of total plastid pigments and dry matter in the pods, which relates with yield as (+0,051, ) Contents of macro and micronutrients relate with different values of the yield of snap bean pods. The major value between them can be found with calcium (Ca) contents in the pods (+0,570), followed by chrome (Cr) content ( ), phosphorus (Р) content ( ), magnesium Mg ( ), molybdenum (Мо) and manganese (Мn) ( ). The correlation coefficients between the yield and nitrogen (N) and potassium (K) contents in the pods of snap bean are ( , ), The results of the coefficient of determination between the yield and the intensity of the physiological process and parameters, which represent the proportion of common variation between them (i.e., the "strength" or "magnitude" of the relationship) It is important to know this "magnitude" or "strength" as well as the significance of this correlation. The coefficient of determination of yield with the intensity of the physiological process is not so high and varies from (peroxidase activity and transpiration intensity respectively) followed by for photosynthetic intensity and for stomatal conductivity. The value of coefficient as found between yield and the pollen fertility confirms our results about the correlation coefficient. Similar results showing the significance of the correlation between the contents of plastid pigments, macro and micronutrients and yield have already been established. The coefficient of determination varies from (0.001 to 0.005) for Chlorophyll a and for N, Mo, Mn contents to for Р, Cr and Ca. CONCLUSION The significance of coefficient of correlation and its expression as coefficient of determination between the yield components (yield of fresh weight of snap bean pods/ experimental unit, index of productivity, fresh weight of pods /plant and fresh weight of whole snap bean plant) and the total yield was very high with positive sign. The values differed from (r= r 2 =0.992), (r= r 2 =0.71), (r= r 2 =0598), (r= r 2 =0.258) The significance of coefficient of correlation between the yield and the pollen fertility was ( ). The correlation coefficient between the yield and stomatal conductivity was ( ), a positive index. Contents of macro and micronutrients related with different values of the yield of snap bean pods. The major value between them was found with calcium (Ca) contents in the pods (+0,570), followed by chrome (Cr) content ( ), phosphorus (Р) content ( ), magnesium Mg ( ), molybdenum (Mo) and manganese (Mn) ( ). The correlation coefficients between the yield and nitrogen (N) and potassium (K) contents in the pods of snap bean were ( , ), REFERENCES 1. Velev B: Habilitation thesis, pp 38-42, Zaprainov Z: Field experimental design,zemizdat Sofia, Kumanov, et all: Beans Sofia, s/12c/hp12ccorrelation.pdf 5. tm 6. emic/aged5980a/5980/newpage23.htm 7. sashtml/proc/zompmeth.htm Trakia Journal of Sciences, Vol. 3, No. 6,

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