Of the following, the correlation coefficient that indicates the weakest relationship between the two variables being measured is ______________.

Question

BlackTom AI · Accepted Answer

When evaluating which correlation coefficient indicates the weakest relationship, we should recall that Pearson correlation coefficients range from -1 to 1, where values near 0 imply little to no linear relationship.
Option -4.50: This value lies outside the valid range of correlation coefficients. Since correlations must be between -1 and 1, this option cannot represent the correlation; it should be dismissed as invalid rather than interpreted as the weakest relationship.
Option -0.69: This is a negative correlation with a magnitude of 0.69. While not extremely strong, it still indicates a substantial linear relationship (in the negative direction). It is clearly stronger (in absolute value) than a near-zero correlation, so it does not represent the weakest.
Option 0.95: This is a very strong positive correlation, with a magnitude close to 1. Such a value indicates a strong linear relationship, not the weakest.
Option 0.01: This value is very close to zero, indicating almost no linear relationship between the variables. Among the valid options, this has the smallest magnitude and therefore represents the weakest relationship.
In summary, considering the valid range and the absolute magnitudes, the option with the correlation closest to zero (0.01) corresponds to the weakest relationship, while the other options depict stronger associations or are invalid as correlations.

Of the following, the correlation coefficient that indicates the weakest relationship between the two variables being measured is ______________.单项选择题

类似问题

The correlation in between mobile usage and exam score of a person found to be -2.2. What is your inference from the above statement.

The correlation between temperature in ◦F and age in weeks was r = −0.70. If we converted the temperature to ◦C and age to months, what would the 29 correlation be?

Their correlation coefficients will be the same, since the correlation coefficient is unitless.

r = −0.85

r = −0.03

r = −0.48

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