Question

a power model is shown below. determine the residual for the observed data x=7 and y=70.

log y^hat = 1.6 + 0.3 log x

a) 71.37
b) 1.37
c)1.85
d) -1.37

Answer 1

The expected value is what you get when you plug in x. Here, you get log(y-hat)=1.6 + .3 log (7) = 1.85... To get y-hat, we take 10 to this number, so 10^1.85...= 71.37

The residual is the difference between the expected and actual values. So,
resid = y - yhat
resid = 71.37 - 70 = 1.37

B is your answer.