Project on Regression Analysis

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Project on Regression Analysis(Multiple Linear and Non-Linear)In this project, you were tasked with analyzing the relationship between GPA and various explanatoryvariables, such as SAT scores, hours of study, and hours of work, using both linear and non-linearregression models. Based on the regression results, interpret the significance of each explanatoryvariable and the overall model. Additionally, compare the goodness-of-fit between the linear and non-linear models. Discuss how the findings can inform academic strategies for students. (Word count: 400-500 words)

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Introduction:This study interested to establish some linear and non-linear relationships between the variablesunder study to predict and explain the variations among the GPA scores of students based on theexplanatory variablesSAT scores, hours ofSTUDY, andhours ofWORK.The SAT score of a student is having a positive relationship with GPA score. The students withhigher SAT scores in general also got higher GPA and vice versa.The number of hours spent onSTUDY is having a positive relationship with GPA score. IfSTUDYincreases then theGPAalso increases and vice versa.The number of hours spent on WORK is having a negativerelationship with GPA score, since the increase in hours of WORK obviously decreases thehours on STUDY so as the GPA. If WORK increases then the GPA decreases and vice versa.Hypothesis to be tested:The hypotheses to be tested in this study are,Null Hypothesis: The overall regression is not significant.VersusAlternative Hypothesis: The overall regression is significant.andNull Hypothesis: The regression coefficient ofithexplanatory variable is not significant.VersusAlternative Hypothesis: The regression coefficient ofithexplanatory variable is significant.

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Variables under Study:The variables interested under study are listed below:1. GPA (Grade Point Average)–Explained Variable in this study.2. SAT (Scores of Scholastic Aptitude Test)–Explanatory Variable in this study.3. STUDY (No. of hours of study)–Explanatory Variable in this study.4. WORK (No. of hours of work)–Explanatory Variable in this study.A fictitious data containing 50 observations on each of the variables was generated for thisanalysis. Appendix contains data used for this study.Table 1 contains the Correlation Matrix for the variables under study. It indicates that the pairs ofvariables (GPA, WORK), (SAT, STUDY), (SAT, WORK), and (STUDY, WORK) possess asignificant correlation between them.Table 1

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