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OCR: 1 Dimension: 10 samples needed . . . . . . . . . . . . . . . 2 Dimensions: 100 samples needed Variables can be thought of as geometric dimensions, as in a scatterplot. To maintain a given density of coverage in higher dimensional problems, exponentially increasing numbers of samples need to be acquired. Here, we see that using 10 samples per dimension causes our data requirement to jump from 10 to 100 samples. Even with lower density of sampling per dimension the required data grows rapidly as the number of dimensions (variables) increases.