What can you conclude if the true correlation coefficient is between -0.1057 and 0.4765?

When analyzing the given range for the true correlation coefficient, which is between -0.1057 and 0.4765, it suggests that there is a possibility of a weak negative correlation at -0.1057, and a weak to moderate positive correlation at 0.4765. However, since this range includes negative and positive values, it is not definitive enough to assert a clear correlation direction, which leads to the conclusion that there is no significant correlation.

In correlation analysis, a coefficient close to 0 indicates little to no linear relationship between the variables being studied. Since the range provided spans values that approach zero but are not conclusive about a strong correlation in either direction, it implies that the relationship is weak at best.

Moreover, when interpreting correlation coefficients, values closer to -1 or +1 indicate stronger negative or positive relationships, respectively. Since both boundary values presented are relatively close to zero and do not provide strong evidence of correlation, the best conclusion in this case is that there is no substantial or meaningful correlation present.