which r-value represents the strongest negative correlation? -0.7 -0.22 0.38 0.9

Explanation:

Step1: Recall the property of correlation coefficient (r)

The strength of a correlation is determined by the absolute value of (r). A negative (r) - value indicates a negative correlation.

Step2: Calculate the absolute values

For (r=-0.7), (|r| = 0.7). For (r=-0.22), (|r|=0.22). For (r = 0.38), (|r|=0.38) (this is a positive correlation, so we are not interested in it for the "negative correlation" part). For (r = 0.9), (|r|=0.9) (positive correlation).

Step3: Compare the absolute values of negative (r) - values

Since (0.7>0.22) and we are looking for the negative correlation (so we ignore the positive (r) - values (0.38) and (0.9)).

Answer:

(-0.7)