The Predictive Ability of Performance Variables
in Differential Calculus Grade
Volume 3 - Issue 6, June 2019 Edition
[Download Full Paper]
Author(s)
Dr. Rocelyn B. Cadacio
Keywords
Achievement, Performance Variables, Regression, Prediction
Abstract
Estimation of grade of a student in Differential Calculus in relation to a number of performance variables were conceptualized to be meaningful such as pre-admission performance variables, admission performance variables and final grade of students in five pre- Calculus subjects. Regression was used both single variable and multiple regression analyses in determining how well performance in Differential Calculus can be predicted on some identified performance variables such as fourth year high school mathematics average grade, National Career Assessment Examination (NCAE) percentile score, college entrance test on mathematical ability, English Proficiency Test (EPT) result, and average grade in five pre- Calculus subjects. A student having an average grade of 86 on his fourth year mathematics could be predicted to have a grade of 2.95 in Differential Calculus, using the regression equation Y = -0.133X1 + 14.386. On the same manner, having completed his freshman mathematics, an average of 2.25 on Trigonometry, Solid Mensuration, and Analytic Geometry subjects, a student could be predicted to have a grade of 2.79 in Differential Calculus using the regression equation Y =1.652X6 – 0.924. For testing the significance of regression, the analysis of variance (ANOVA) was computed. The coefficient of determination (r2), the value of which tells the amount of variation observable in Differential Calculus grades due to the prediction variables was also determined. For instance, the r^2 value of 0.59 tells that 59 percent or more than half of the total variance in Differential Calculus grade is due to the result of the English Proficiency Test (EPT). For in-depth treatment of data, a multiple regression analysis was utilized which considered two sets of measurements chosen as independent variables namely: the combination designated as CFNCE , being the first set of four prediction variables; and the combination designated as CCATSA, the second set of two prediction variables. The regression equation for predicting the Differential Calculus grades from the combination of the four predictors was found to be Ŷ = 0.018796358X1 + 0.01037379X2 - 0.023285098X3 - 0.151700424X4 + 13.59815283. Similarly, the regression equation for predicting the Differential Calculus grades based on the combination of two averages of freshman mathematics subjects registered to be Ŷ = 0.503049757X5 1.246562917X6 - 1.126864664.
References
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