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555-605 (Medium)|   Graphs|   Math Related|               
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Official Explanation

1. The correlation between length and weight for the babies in the study is:

Among all of the babies in the study, the graph shows that greater lengths tend to correspond to greater weights. This indicates a strongly positive correlation between length and weight.

The correct answer is strongly positive.

2. If a baby with weight less than 3.5 kg were selected at random, the probability that the baby would be a part of Group A is_____________.

In the graph there are 4 blue circles and 6 triangles below the horizontal line at 3.5 kg. This indicates that 10 babies in the study weighed less than 3.5 kg, and that of these 10, 4 were in Group A. Thus, the probability that the randomly selected baby was a part of Group A is 4/10=0.40.

The correct answer is 0.40.
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We see that there is certainly a positive correlation. The trend line is obvious and the data points are close to the trend line. There is only one option with positive correlation and that is "strongly positive". So that is correct. An r of 0.6 to 0.8 is considered "strong" and looking at the data, it does seem to be a case of strong correlation, not "weak" and not "very strong" either. But they don't ask us to make that call because we can't actually calculate r.

Here is a discussion on correlation: https://youtu.be/Zx-PysHlhGM
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