QUESTION IMAGE
Question
in general, the weight of an animal increases with age. what could be the correlation between the weight and age of all animals? 0.09 -0.65 0.65 -1
Step1: Understand correlation concept
A positive correlation means as one variable increases, the other increases. A negative correlation means as one variable increases, the other decreases.
Step2: Analyze given relationship
Given that the weight of an animal increases with age, it is a positive - correlation. The correlation coefficient $r$ ranges from - 1 to 1. Values close to 1 indicate a strong positive correlation, values close to - 1 indicate a strong negative correlation, and values close to 0 indicate a weak correlation.
Step3: Select the correct option
Among the options, 0.09 is a weak positive correlation, - 0.65 and - 1 are negative correlations, and 0.65 is a moderate positive correlation. Since weight increases with age, we expect a positive correlation value, and 0.65 is a reasonable value for a moderate positive relationship between weight and age.
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0.65