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Predicting Final Exam Scores and Course Grades for General Biology Students: A Multiple Regression Analysis - Document preview page 1

Predicting Final Exam Scores and Course Grades for General Biology Students: A Multiple Regression Analysis - Page 1

Document preview content for Predicting Final Exam Scores and Course Grades for General Biology Students: A Multiple Regression Analysis

Predicting Final Exam Scores and Course Grades for General Biology Students: A Multiple Regression Analysis

Statistical analysis of academic performance predictors in biology

Anna Wilson
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Predicting Final Exam Scores and Course Grades for General Biology Students: A Multiple Regression Analysis - Page 1 preview imagePredicting Final Exam Scores and Course Grades for General Biology Students: AMultiple Regression AnalysisExecutive summaryHere in this report we are concerned with the analysis of the PC student’s lastsemester scores to predict the scores on thefinal exam for Nan McPherson, anassistant professor of biology at Prescott College (PC),ofstudents in a GeneralBiology Class (Bio. 457) and then also predict the student’s final course grade. Herethe method which has been followed for analysis is the method of regression. Amultiple regression will be conducted on the student’s last semester scores to predictthe scores and grades in this semester. Before doing the final analysis the data will betested if it satisfies the assumptions of regression like normal distribution of the data.For this box plot and Q-Q plots are used. Also histogram is built to test the normality.Other than this descriptive statisticswill be calculated to see the basic behaviour ofthe data. It is recommended to see all these analysis before concluding anything onscores and grades. Also the Rsquare values and other things to see how confidentwe can be while using the analysis actually.BackgroundNan McPherson, an assistant professor of biology at Prescott College (PC), has beenwondering if she could predict the scores on the final exam for her students in aGeneral Biology Class (Bio. 457) and then also predict the student’s final coursegrade. She has recorded the exam and final grades for 25 students who took herGeneral Biology class last semester and wants your help in predicting the final examscores and the final grades for 5 “typical” PC students.The professor knows that thereare a maximum of 100 points for each of the three unit exams and a maximum of 200points for the final exam. Based on the college’s grading scale, the final grade in thiscourse will be determined by the following total point value ranges.Table 1.Prescott College Uniform Grading Scheme for General Biology Classes(Max. of 500 points)
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Predicting Final Exam Scores and Course Grades for General Biology Students: A Multiple Regression Analysis - Page 3 preview imageTotal Max. Points: 500FinalGradePercentilesMinimumpointsMaximumpointsA94 to 100470500A-89 to 93445469B+85 to 88425444B82 to 84410424B-78 to 81390409C+74 to 77370389C70 to 73350369C-66 to 69330349D+61 to 65305329D57 to 60285304D-52 to 56260284F51 and below0259ProblemHere the main problem is to test the assumptions carefully and analyze the dataaccordingly by modifying the data accordingly or as is required.After carefullyanalyzing and studying the data we have to conduct the final regression analysis andthen interpret t according to the required problem.AnalysisOne variable summary is :StatisticsEXAM 1EXAM 2EXAM 3FINALMean79.0479.4881.48162.04Standard Error2.4559315952.5007465552.353097254.808839084Median798285164Mode938390175StandardDeviation12.2796579812.5037327811.7654862524.04419542SampleVariance150.79156.3433333138.4266667578.1233333Range49524595Minimum474655101Maximum9698100196Sum1976198720374051Quartile 1737373148Quartile 2798285164Quartile 3888990180IQR15161732Count25252525
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