Question

what is the best approximate value of the correlation coefficient for the data shown in the scatter plot?
a -0.46
b -0.98
c 0.24
d 0.96

Explanation:

Step1: Observe the scatter - plot trend

The points in the scatter - plot show an upward trend, so the correlation coefficient is positive. This eliminates options A and B which are negative values.

Step2: Evaluate the strength of the linear relationship

The points seem to follow a fairly strong linear pattern. A correlation coefficient of 0.24 indicates a weak positive linear relationship, while a value close to 1 indicates a strong positive linear relationship. Since the points in the scatter - plot are closely clustered around an upward - sloping line, the correlation coefficient is close to 1.

Answer:

D. 0.96