a. -0.27
b. 0.54
c. 0.11
d. -0.75
Correct Answer: C. 0.11
Explanation:
In statistics, the r-value (or correlation coefficient) measures the strength and direction of a linear relationship between two variables. The value ranges from -1 to 1, where:
1 or -1 indicates a perfect positive or negative linear relationship, respectively.
0 indicates no linear relationship.
Values closer to 1 or -1 signify a stronger correlation, while values closer to 0 indicate a weaker correlation.
In the options given:
-0.75 indicates a strong negative correlation.
-0.27 indicates a weak negative correlation.
0.11 indicates a very weak positive correlation.
0.54 indicates a moderate positive correlation.
The r-value that represents the weakest correlation is 0.11 because it is closest to 0, showing the least linear relationship between the variables compared to the other values.