Roberson was born in Bradenton, and attended Manatee Junior College, graduating with his associate degree in 1963.

In the Republican primary, Roberson defeated Christopher Constance and Richard J. Santons, winning with 53% of the vote.

In the general election, he faced Democratic nominee Betty Gissendanner, a retired insurance agent, whom he was able to easily defeat, receiving 54% of the vote to her 46%.

[1] Roberson, meanwhile, campaigned on his "core principles of less government, lower taxes and more personal freedom,"[2] and was endorsed by the Sarasota Herald-Tribune, which praised him as a public who had "run dignified campaigns, promoted civility in the legislature and treated constituents with respect.

Roberson faced no opposition in the primary or the general election, and won his third term entirely uncontested.