JMP doesn't report semipartial correlations directly, but they can be calculated from regressions.
For example, to get the semipartial correlation for socioeconomic status, first, run two regressions as shown in the screenshots.
Then take the sqrt of the difference in RSquare values between the two models, i..e. sqrt(0.723934-0.715378)=0.0925. This indicates the "unique" contribution of socioeconomic status as a predictor.