A general linear randomized response model is established with estimates and variances obtained through analogy with familiar linear regression models. All existing randomized response procedures are shown to be special cases of this more general model. Some competing procedures are suggested by the applicability of the model for multivariate mixes of randomized and non-randomized response using either discrete or continuous random variables. Some additional applications are suggested by the applicability of the model for situations where the data have already been collected by some agency but where there are disclosure restrictions.