It has been hypothesized that overall academic success for college freshmen as m

Question

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores, X1, hours spent studying each week, X2, and one's high school average scores, X3. You collect data on these variables from a class of 30 students and to determine factors that affect the GPA.

(a) Based on the following scatter plots, comment on the relationships between GPA (dependent variable) and respective independent variables (IQ, studying hours, and high school scores). (3 marks)

Explanation / Answer

(a) Here taking IQ as a independent variable we can see that the direction of scatter plot is positive that means higher the IQ, higher the gpa. Similary, the scatter points are not much diverse so that shows less variability and a strong lineear relation. No one IQ beloe 70 and above 140 in the class. So, we conclude that there is positive strong linear relationship between IQ and gpa.

Now, if we take studying hours as independent variable. we here also see a postive relationship that shows that higher the studying hours, higher the gpa. but here the variability is much higher and linear relationship is not much strong. So, we can say that there is weak linear relationship beween studying hours and gpa.

Here, as we want to know the relationship of high school score and GPA, it is positive one and a very strengthful as we see minimum variability here in gpa as compared to other two independent variable. THe grraph is upward that shows a strong positive linear association between two variables.

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