The book that contains a list of all the variable names and the code numbers associated with each possible response to each question is called the "data matrix register."

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The book that contains a list of all the variable names and the code numbers associated with each possible response to each question is actually called the "codebook" or the "data dictionary." The "data matrix register" is not a commonly used term in the field of data analysis.

The Book That Contains a List of All the Variable