Simple linear regression:

Y = β0 + β1 *X + ε , where ε is random error

Fitted (predicted) value of Y for each X is:

^

Y = b0 + b1 *X (e.g. Y hat = 7.2 + 2.6 X)

Consider

^

X = b0' + b1' *Y

[the b0,b1,b0', and b1' are least-square estimates of the β's]

Prove whether or not we can get the values of bo,b1 from bo',b1'. If not, why not?

Any help is appreciated

note: also under discussion in Talk Stats forum