Final answer:
The correlation coefficient measures the strength and direction of the linear relationship between two variables. The correlation coefficients r=+.84 and r=-.84 are exactly equal in strength of prediction.
Therefore, the correct answer is (c) r=+.84 and r=-.84.
Step-by-step explanation:
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. The value of the correlation coefficient ranges from -1 to +1. A correlation coefficient of 1 indicates a perfect positive relationship, while a correlation coefficient of -1 indicates a perfect negative relationship. A correlation coefficient of 0 indicates no relationship.
Looking at the given options:
a) r=+.05 and r=-.06: These correlation coefficients are both very close to 0 and indicate a weak relationship.
b) r=-.78 and r=+.43: These correlation coefficients have different signs and indicate different directions of the relationship. The correlation coefficient of -.78 indicates a stronger negative relationship than the correlation coefficient of +.43, which indicates a moderate positive relationship.
c) r=+.84 and r=-.84: These correlation coefficients have the same absolute value but different signs. They are equal in strength but opposite in direction, indicating a strong relationship.
d) r=+.56 and r=+.53: These correlation coefficients have similar values and indicate a moderate positive relationship.
Therefore, the correct answer is (c) r=+.84 and r=-.84.