Correlation between the "Laterality profile" (three types: "strong righthandedness", "weak righthandedness", and "mixed") and the ability for voluntary acceleration of intellectual activity has been studied on students of a mechanical-mathematical department. The correlation is best manifested in case of "strong righthandedness", and is the weakest in "mixed" persons. Results confirm the neuropsychological concept of the leading role of the left hemisphere in voluntary regulation of mental functions. Some recommendations are given as to how the data can be applied for psychodiagnostical purposes.