Suppose x and y are related according to a probabilistic exponential model Y aex e, with V(e) a constant independent of x (as was the case in the simple linear model Y 0 1x e) Is V(Y) a constant independent of x as was the case for Y 0 1x e, where V(Y) (s2) Explain your reasoning Draw a picture of ...

VY V ex ex 2 V 2 e 2x 2 where we have set V 2 If 0 ...

Suppose x and y are related according to a probabilistic exponential model Y = aex.e, with V(e)

Question:

Suppose x and y are related according to a probabilistic exponential model Y = aeβx.e, with V(e) a constant independent of x (as was the case in the simple linear model Y = β0 + β1x + e). Is V(Y) a constant independent of x [as was the case for Y = β0 + β1x + e, where V(Y) = (s2)? Explain your reasoning. Draw a picture of a prototype scatterplot resulting from this model. Answer the same questions for the power model Y = axβ.e.