For each of the pairs below, determine whether they are positively correlated, negatively correlated, or uncorrelated. a. Time spent studying and test scores: Positively correlated, Negatively correlated, Uncorrelated. b. Vaccination and illness: Positively correlated, Negatively correlated, Uncorrelated. c. Soft drink preference and music preference: Positively correlated, Negatively correlated, Uncorrelated. d. Income and education: Positively correlated, Negatively correlated, Uncorrelated.

A. Positively Correlated; B. Negatively Correlated; C. Uncorrelated

Explanation:

Correlation is the mutual / similar change direction relationship between 2 variables.

If 2 variables change in same direction (one increase - other increase, one decrease - other decrease), they are positively correlated.

If 2 variables change in opposite direction (one increase - other decrease, one decrease - other increase), they are negatively correlated.

A. More time spent studying implies higher test scores & less time spent studying implies lower test score. So, they are positively correlated.

B. Vaccination (being protection from illness) increase implies less illness, if decrease implies more illness. So, they are negatively correlated.

C. Soft Drink & Music seem to have no logical mutual movement connectivity. So, they are Not Correlated / Uncorrelated.