For a statistics class the linear regression leastsquares li

For a statistics class, the linear regression least-squares line between the number of hours studied (X), and the score in the mid term examination (Y) was Yhat = 32 + 2.5 X. A student who studied for 10 hours received a score of 61 in the examination. For this student, what is the value of the residual?

Solution

we just need to see what is the value of Y hat and see the difference between Y hat result with the real score

Y = 32 + 2.5*10

Y = 32 + 25 = 57

61 - 57 =4

VALUE OF THE RESIDUAL : 4