The table shows the values of y for different values of x: x 5 7 9 10 11 12 13 y 3 0 −1 −6 3 8 −4 The correlation coefficient for the data is 0. 715. Which statement is true about the data in the table? There is a strong positive relationship between x and y. There is almost no relationship between x and y. There is a strong negative relationship between x and y. There is a weak negative relationship between x and y.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

1 indicates a strong positive relationship.
-1 indicates a strong negative relationship.
A result of zero indicates no relationship at all, therefore, independent variable.

The correlation coefficient 0.715 denotes, "There is a strong positive relationship between x and y".

Given to us

The correlation coefficient for the data is 0.715.

As we can see that the value of the correlation coefficient is 0.715, therefore, it is close to 1 means the relationship is strong, while the '+' symbol denotes that the relationship is positive.

Hence, the correlation coefficient 0.715 denotes, "There is a strong positive relationship between x and y".

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