Question

Explain why two variables must both be quantitative in order to find the correlation between them

Answer 1

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

What is a variable?

• A variable in mathematics is a symbol and placeholder for a changing quantity or any mathematical object.
• A variable can specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.

Quantitative order:

• Quantitative methods emphasize objective measurements and statistical, mathematical, or numerical analysis of data gathered through polls, questionnaires, and surveys, as well as by manipulating pre-existing statistical data using computational techniques.
• Ordinal-level measurement data can be quantitative or qualitative.
• They can be arranged in ranked order, but differences between entries are meaningless.
• Measurement data at the interval level are quantitative.
• They can be arranged in any order, and meaningful differences between data entries can be calculated.
• We can't do the arithmetic required in the r formulas if the variables aren't quantitative.

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Know more about quantitative data here:

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