Question

the scatter plot below contains a set of data points. identify the correlation on the scatter plot. show your work here

Explanation:

Step1: Analyze the direction of the scatter - plot

As the response variable (x - axis) increases, the explanatory variable (y - axis) decreases. This indicates a negative correlation.

Step2: Analyze the strength of the scatter - plot

The data points are relatively close to an imaginary line that could be drawn through them, showing a strong relationship.

Answer:

Since the data points show a pattern where an increase in the response variable is associated with a decrease in the explanatory variable (negative direction) and the points are closely clustered (strong relationship), the correlation is a strong negative correlation. But since the options only have "Strong positive correlation" as a written option in the user - provided part (assuming there was a typo in the problem setup and we go by the analysis of direction and strength), if we consider the correct analysis based on the plot:
If we assume the axes were mis - labeled (which is a possibility), but if we go by the standard interpretation:
The answer is "Strong negative correlation". But if we strictly go by the given scatter - plot's axes (where response variable is x and explanatory is y), as response (x) increases, explanatory (y) decreases. So the answer is "Strong negative correlation". However, if we assume a mis - labeling of axes (response as y and explanatory as x, which is non - standard), but in standard terms (response is y), the answer is "Strong negative correlation".