Question

# The following data set shows the entrance exam score​ (Verbal GMAT) for each of eight MBA...

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

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 sum(X) 2350 sum(Y) 26.4 sum(X2) 695100 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

Slope b = 0.0109

y intercept a = 0.1094

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