Question

use the scatter plot to answer the question.
what is the best estimate for the correlation coefficient of the data shown in the scatter plot?
a. 0.89
b. 0.12
c. -0.12
d. -0.89

Explanation:

Step1: Analyze the scatter plot trend

The scatter plot shows a negative trend (as x increases, y generally decreases), so the correlation coefficient should be negative. Eliminate options A (0.89) and B (0.12).

Step2: Analyze the strength of the correlation

The points are somewhat closely following a downward - sloping pattern, indicating a strong negative correlation. A correlation coefficient of - 0.89 represents a strong negative correlation, while - 0.12 represents a very weak negative correlation. So the best estimate is - 0.89.

Answer:

D. - 0.89