Question

if a student scored a 52 on his first test ,make a prediction for his score on the second test .Assume the regression equation is appropriate for the prediction. Round the answer to 2 decimal places.

Answer 1

We have the following info given:

x: 75,76, 91, 65,48,75,85,62,51,80,94,43

y: 69, 88, 101, 63, 59, 82, 86, 67, 56, 84, 105, 44

After apply OLS (Ordinary LEast Squares) we got the following regression line:

y= 1.0607x + 0.6442

We want to find the best prediction for a student who scored 52 in the first test so we have this:

y= 1.0607* 52 + 0.6442 = 55.80

Then the best prediction for this case is 55.80