Question

Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.

1) Positive correlation
2) Negative correlation
3) No correlation

Answer 1

A positive correlation means the variables move in the same direction, a negative correlation means they move in opposite directions, and a correlation coefficient of 0 indicates no correlation.

Step-by-step explanation:

The sign of the correlation coefficient indicates the direction of the relationship between two variables. A positive correlation means that the variables move in the same direction, while a negative correlation means they move in opposite directions.

The closer the correlation coefficient is to 1 (positive or negative), the stronger the relationship between the variables. A correlation coefficient of 0 indicates no correlation between the variables.

Based on the given information, we can determine whether the correlation is positive, negative, or no correlation by looking at the scatter plot or finding the correlation coefficient.