Question

define and distinguish among positive correlation, negative correlation, and no correlation. how do we determine the strength of a correlation? define positive correlation. choose the correct answer below. a. positive correlation means that there is a good relationship between the two variables b. positive correlation means that there is no apparent relationship between the two variables c. positive correlation means that both variables tend to increase (or decrease) together d. positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases define negative correlation. choose the correct answer below. a. negative correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases b. negative correlation means that there is a bad relationship between the two variables c. negative correlation means that there is no apparent relationship between the two variables d. negative correlation means that both variables tend to increase (or decrease) together

Explanation:

Positive correlation exists when two variables move in the same direction (both increase or both decrease). Negative correlation is when they move in opposite directions (one increases as the other decreases). No - correlation means there is no discernible pattern in their movement. The strength of a correlation is determined by the correlation coefficient (r), which ranges from - 1 to 1. A value close to 1 or - 1 indicates a strong correlation, while a value close to 0 indicates a weak or no correlation.
For the positive - correlation definition question, option C is correct as it accurately describes positive correlation. For the negative - correlation definition question, option A is correct as it accurately describes negative correlation.

Answer:

Define positive correlation: C. Positive correlation means that both variables tend to increase (or decrease) together.
Define negative correlation: A. Negative correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.