The partial correlation of X and Y controlling for some other variables [Z] is the correlation of rX with rY, where rX and rY are the residuals from two separate regression equations predicting X from [Z] and predicting Y from [Z] Wikipedia. If you wanted to represent that partial correlation in a plot, you would have to use fitlm to predict X and Y separately, and then get the residuals from those two fits (see Save residuals) as rX and rY. Then you could use
I'm not sure this plot will really be what you want, though, since the numbers will not be on the same scale as your original X and Y scores (i.e., they will have means of 0). Of course, a plot is just a display device, so maybe this type of display will be fine for you.
A side comment: It probably isn't a good idea to use partial correlation to control for gender as if it were a normally distributed numerical variable, which it isn't. To display the X/Y relationship controlling for gender, it would be better to make separate scatterplots for males versus females or to make a single scatterplot but use separate symbols for the two genders.
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