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 aim to analyse and determine factors that affect the GPA.

Ascertain the degree of multicollinearity (degree of correlation between independent variables among one another) from the following correlation matrix. (2 marks)

Explanation / Answer

Here GPA(garde point average) is dependent variable.

so we want to calculate degree of multicolinearity within the all independent variables such as IQ scores, hours spent studying each week and one's high school average scores.

Here no variable is correlated with other with higher degree of multicolinearity. IQ is neagtively correlated with studying hoursbut to a much lower degree and same is between studying hours and high school score also.and IQ, high school score is also not correlated.

Therefore thier is no multicolinearity between any independent variable.So their no multicolinearity in the data.

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