If we set β = f (1), then for any real number x, we have f (x) = β x and the graph of this function is the straight line in the plane passing through the origin with slope β.

Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 30, No. 2 (1981), pp. 125-131 (7 pages) In generalized linear models each observation is linked with a predicted value ...