The example mentioned in the question is used for finding temporal relation between 1-D input and 1 dimensional output. As mentioned in the code:
The number of features is 1. Hence the data passed as input is 1-dimensional in nature.
In general, LSTMs are built to work for multi-dimensional data. We can change the numFeatures and numResponses value to map one single/multi-dimensional vector to another single/multi-dimensional vector. This doc link captures a example involving multi-dimensional vectors.
Hope this helps!