Question

Suppose you are considering the relationship between a student's GPA and score on the GRE from the following sample data:

GPA	GRE
3.2	725
3.9	788
4	775
3.4	647
3.7	800
3	672

You calculated a regression equation of: = 299.81 + 123.03x

Solve the equation for the lowest and highest values of x (GPA) and plot on a graph and draw the best fitting line.

Answer 1

The line of best fit is:

Solving for the lowest and highest values of x (GPA) :

GPA (x)	GRE (y)	y^ = 299.81 + 123.03x	Formula used
3.20	725.00	693.51	=299.81+123.03*3.2
3.90	788.00	779.63	=299.81+123.03*3.9
4.00	775.00	791.93	=299.81+123.03*4	Highest Value
3.40	647.00	718.11	=299.81+123.03*3.4
3.70	800.00	755.02	=299.81+123.03*3.7
3.00	672.00	668.90	=299.81+123.03*A7	Lowest Value

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