Question: 4. What do we mean by a monotone relationship between two variables x and y? What do we mean by ranked variables? Give a graphic

4. What do we mean by a monotone relationship between two variables x and y?

What do we mean by ranked variables? Give a graphic example of two variables x and y that have a monotone relationship but do not have a linear relationship.

Does the Spearman test check for a monotone relationship or a linear relationship?

Under what conditions does the Pearson product-moment correlation coefficient reduce to the Spearman rank correlation coefficient? Summarize the basic logic and ideas behind the test for Spearman rank correlation. List variables x and y from daily experience for which you think a strong Spearman rank correlation coefficient exists even though the variables are not linearly related.

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