Which of these r-values represents the weakest correlation?A.0.2B.0.1C.0.4D.0.3SUBMITarrow_backPREVIOUS

Break Down the Problem

1. We need to identify the r-value representing the weakest correlation out of the given options.
2. The correlation coefficient (r) ranges from -1 to 1, indicating the strength and direction of a linear relationship between two variables. Values closer to 0 indicate a weaker correlation.

Relevant Concepts

1. The r-values given are:
   • A: 0.2
   • B: 0.1
   • C: 0.4
   • D: 0.3
2. We will compare these values to determine which is the weakest.

Analysis and Detail

1. The value with the least magnitude closest to 0 will represent the weakest correlation.
2. Comparing the absolute values:
   • $|0.2| = 0.2$
   • $|0.1| = 0.1$
   • $|0.4| = 0.4$
   • $|0.3| = 0.3$

Verify and Summarize

1. From the analysis, $|0.1|$ is the smallest value, indicating the weakest correlation among the options provided.

Final Answer

The weakest correlation is represented by B. 0.1.