It is well known that large bodies of water have a

Chapter 11, Problem 63E

(choose chapter or problem)

It is well known that large bodies of water have a mitigating effect on the temperature of the surrounding land masses. On a cold night in central Florida, temperatures were recorded at equal distances along a transect running downwind from a large lake. The resulting data are given in the accompanying table.

Notice that the temperatures drop rapidly and then level off as we move away from the lake. The suggested model for these data is

                        \(E(Y)=\alpha_{0} e^{a_{1} x}\)

a Linearize the model and estimate the parameters by the method of least squares.

b Find a 90% confidence interval for \(\alpha_{0}\). Give an interpretation of the result.

Equation transcription:

Text transcription:

E(Y)=alpha{0} e^{a{1} x}

alpha{0}