Question

Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(​C) is measured and their head circumference​ (cm) is measured. If it is found that r​0, does that indicate that there is no association between these two​ variables? Choose the correct answer below. A. ​No, because if r​0, the variables are in a perfect linear relationship. B. ​No, because while there is no linear​ correlation, there may be a relationship that is not linear. C. ​No, because r does not measure the strength of the​ relationship, only its direction. D. ​Yes, because if r​0, the variables are completely unrelated.

Answer 1

B. ​No, because while there is no linear​ correlation, there may be a relationship that is not linear.

Explanation:

Relationships between variables are diverse and fitted model of a dataset for each of the models will usually differ. That is the lebl of association between variables for a linear model may differ and better than a quadratic model or an exponential may perform. For r = 0 ; this means no relationship exists between the variables, however , this is the information for the linear model, which clearly depicts that no assicitio exist for the linear fit. A model change could result in a differ and slightly or highly correlated R value.