Question

The following data set shows the entrance exam score​ (Verbal GMAT) for each of eight MBA students along with his or her grade point average​ (GPA) upon graduation. Calculate the slope and​ y-intercept for the linear regression equation for these data. GMAT 310 290 270 270 350 280 290 290 GPA 3.7 2.9 3.1 3.2 3.9 3.1 3.6 2.9

Answer 1

Solution:

We prepare a table.

X	Y	XY	X2	Y2
310	3.7	1147	96100	13.69
290	2.9	841	84100	8.41
270	3.1	837	72900	9.61
270	3.2	864	72900	10.24
350	3.9	1365	122500	15.21
280	3.1	868	78400	9.61
290	3.6	1044	84100	12.96
290	2.9	841	84100	8.41

From this ,

n	8
sum(XY)	7807.00
sum(X)	2350.00
sum(Y)	26.40
sum(X2)	695100.00
sum(Y2)	88.14

Now , let b be the slope and a be the y intercept of the regression line.

Putting all values in this formula , we get

b = 0.0109

Now ,

Putting all values in this formula , we get

a = 0.1094

Answer :

Slope b = 0.0109

y intercept a = 0.1094