Stat Project

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Stat 113 Beiyi(Summer) Liu Professor Ihsan Shahwan
Final Project Part C
In order to figure out how variables relates to each other and the connections among the variables, or one can predict the other. I will choose three quantitative variables or two quantitative variables and one categorical variable on each pairs. I will also use graphs of scatter plots; regression and correlation to understand that how one variable affect other two variables. There are six groups below: Group one: High School Percentile (HSP), Cumulative GPA (GPA), and ACT Composition Score (COMP) a) HSP vs GPA

b) HSP vs COMP

c) COMP vs GPA

From graph a, we can find out that there is moderate positive liner relationship between HSP and GPA; the correlation is 0.552; the equation of regression is GPA=0.0163928*HSP+1.84804; the slope is 0.0163928 which is positive; when the predictor variable HSP increase, the response variable GPA also moderately increase; for instance, when HSP increase by 1, GPA will increase 0.0163928. From graph b, there is also weak positive liner relationship between HSP and COMP scores; the correlation is 0.357; the equation of regression is COMP=0.069129*HSP+18.3131; the slope is 0.069129 which is positive; when the predictor variable HSP increase, the response variable COMP scores also weakly increase; for example, when HSP increase by 1, the COMP scores will increase 0.069129. From graph c, there is another weak positive liner relationship between COMP scores and GPA; the correlation is 0.342; the equation of regression is GPA=0.0524047*COMP+1.8243; the slope is 0.0524047 which is positive; when the predictor variable COMP increase, the response variable GPA also weakly increase; for example, COMP scores increase by 1, the GPA will increase 0.0524047. Based on the graphs and data which I got, I think there are only a little relation among HSP, COMP scores and GPA. I can find out a student with high HSP, has high GPA and high COMP scores; the student with high COMP scores has high GPA. Group Two: ACT math score (MATH), ACT English score (ENGLISH) and Cumulative GPA (GPA) a) MATH vs GPA

b) ENGLISH vs GPA

c) ENGLISH vs MATH

From graph a, we can see that there is weak positive liner relationship between MATH scores and GPA; the correlation is 0.307; the equation of regression is GPA=0.0395427*MATH+2.12892; the slope is 0.0395427 which is positive; when the predictor variable MATH scores increase, the response variable GPA also weakly increase; for instance, when MATH increase by 1, GPA will increase 0.0395427. From graph b, there is also weak positive liner relationship between ENGLISH scores and GPA; the correlation is 0.345; the equation of regression is GPA=0.0411408*ENGLISH+2.11295; the slope is 0.0411408 which is positive; when the predictor variable ENGLISH scores increase, the response variable GPA also weakly increase; for example, when ENGLISH scores increase by 1, the GPA will increase 0.0411408. From graph c, there is moderate positive liner relationship between ENGLISH scores and MATH scores; the correlation is 0.475; the equation of regression is MATH=0.440334*ENGLISH+13.2567; the slope is 0.440334 which is positive; when the predictor variable ENGLISH scores increase, the response variable MATH scores also weakly increase; for instance, when ENGLISH scores increase by 1, the MATH scores will increase 0.440334. According to the graphs and data, I can find out a student who has high English score and Math score also has high GPA and the student with high English score has high Math score. Group Three: Cumulative GPA (GPA), age (AGE) and Total Credits Earned (CREDITS) a) AGE vs GPA

b) CREDITS vs GPA

c) AGE vs CREDITS

From graph a, we can see that there is a weak negative liner relationship between AGE and GPA; the correlation is -0.103; the equation of regression is GPA=-0.0240245*AGE+3.55195; the slope is...
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