Answer :
Final answer:
The correct correlation coefficient between x and y given the options is c. 0.582, which suggests a moderate positive linear relationship between the two variables.The correct option is c. 0.582.
Explanation:
To find the correlation coefficient between two sets of data, we use a statistical formula that measures the strength and direction of the linear relationship between two variables. This coefficient, denoted by r, ranges from -1 to +1, with values close to +1 or -1 indicating a strong linear relationship.
A positive r value indicates that as one variable increases, so does the other, and vice versa for a negative r value. In this dataset, we are not given the direct value of r, but we need to choose from the given options. Option c is the only positive value that is not extremely high, which suggests a moderate positive correlation and is likely the correct choice given the context that we are not presented with a scatterplot or calculation showing a strong relationship as would be indicated by a correlation coefficient of about 0.9.
The correct option is c. 0.582.