Robertson was born in Fort Smith in western Arkansas. As a sixth grader, he moved to Shreveport, Louisiana, where he played basketball and baseball for C. E. Byrd High School, from which he graduated in 1947. He attended the University of Texas at Austin, Texas, but graduated in 1951 from Louisiana Tech University in Ruston. He obtained a master's degree from the University of Arkansas at Fayetteville. After his graduation from Louisiana Tech, he played baseball in the Chicago White Sox organization before returning to basketball as a coach. In the 1952–53 academic year, Robertson coached the Vivian Warriors at the former Vivian High School, now North Caddo High School, he had a season record of 9–20. One of his players was Jasper "Jake" Smith III, son of State Representative Jasper K. Smith of Caddo Parish, who mentions Robertson in Smith's autobiographical Dinner with Mobutu: A Chronicle of My Life and Times. Robertson thereafter coached at Byrd High School for eight years, having accomplished a 163–91 record. He then coached at Louisiana Tech from 1964 to 1974. There he amassed a 165–86 record and during the early 1970s led the Bulldogs to a No. 1 ranking in the national college division. The Bulldogs procured three championships in the former Gulf States Conference under Robertson's tutelage and also entered two National Collegiate Athletic Association tournaments.
Death and legacy
At the time of his death of lung cancer at the age of eighty-one, Robertson was residing in Ruston, the location of Louisiana Tech, with his wife the former Betty Lou Lancaster, a member of a prominent family originally from Tensas Parish in eastern Louisiana. He was survived by his daughters, Libby Robertson Power of Frisco, Texas, Claudia Robertson Fowler of Franklin, Tennessee, and Vicki Robertson Page of Ruston. He had ten grandchildren. Services were held on August 21, 2011, at the Trinity United Methodist Church in Ruston. Interment followed at Forest Lawn Memorial Park in Ruston. His obituary describes him, accordingly: "Despite compiling significant accolades in his professional career, no list does justice in describing a man that touched so many, angered so few and was respected and revered by all. Knowing the man was the only true description of his greatness. For those who knew him, he will never be forgotten. His love will carry on forever." Robertson was nominated to eight athletic halls of fame and was a Louisiana Tech "Alumnus of the Year" for the university school of education. He was a member of the Louisiana Tech Letterman Club and the Byrd High School Super Stars. Robertson was also a collector of classic cars. In 2012, the Robert "Scotty" Robertson Memorial Gymnasium, an alternate practice facility for the Louisiana Tech Bulldogs and Lady Techsters basketball teams, was renovated, including the completion of a new floor, and named in Robertson's honor. Among those on the fundraising committee for the project was former Caddo Parish SheriffDon Hathaway, who graduated from Byrd High School a year before Robertson, and businessman John Caruthers.
Head coaching record
High school
Robertson coached at C. E. Byrd High School for eight years, having accomplished a 163–91 record.