Since the equation of the line is 2.73 + 0.11, where mathematically we can write this as ˆy = 2.73 + 0.11x; a being 2.73 and b being 0.11.
To obtain the intercept a, we use this equation: y−b¯x =a. Then manipulate the equation to obtain y=a+b¯x and substitute the known values y= 2.73 + 0.11(3.78)
And we get an answer of 3.1458 or rounded off to 3.15. That is the mean GPA.