All final decisions, findings, rules and orders on any administrative officer or body existing under the constitution or by law, which are judicial or quasi-judicial and affect private rights, shall be subject to direct review by the courts as provided by law; and such review shall include the determination whether the same are authorized by law, and in cases in which a hearing is required by law, whether the same are supported by competent and substantial evidence upon the whole record. Unless otherwise provided by law, administrative decisions, findings, rules and orders subject to review under this section or which are otherwise subject to direct judicial review, shall be reviewed in such manner and by such court as the supreme court by rule shall direct and the court so designated shall, in addition to its other jurisdiction, have jurisdiction to hear and determine any such review proceeding.