Question

While collecting data about a robot's location, x-values are recorded as the time, in seconds, since it was launched. The y-values are the distance away from the starting location. Regression analysis is performed and the r-value is calculated to be 0.

Is it correct to say there is no association between time and distance from the starting location?

• Yes
• No

Why or why not?

Answer 1

No, it is not correct to say that there is no association between time and distance from the starting location even though the r-value between x (time) and y (distance from starting location) comes out to be zero because r-value measures the strength of the linear relationship between x and y. Since r = 0, it implies that there is no linear relationship or linear association between x and y but it does not talk about any other form of association. It is possible that x and y are non-linearly associated in such a way that the value of r comes out to be 0.

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