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Can r lies outside the -1 and 1 range de...

Can r lies outside the -1 and 1 range depending on the type of data ?

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No. When r lies outside the range -1 and 1 , it only indicates error in calculation.
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Knowledge Check

  • A student performs an experiment to determine how the range of a ball depends on the velocity with which it is projected. The "range" is the distance between the points where the ball lends and from where it was projected, assuming it lands at the same height from which it was projected. It each trial, the student uses the same baseball, and launches it at the same angle. Table shows the experimental results. |{:("Trail","Launch speed" (m//s),"Range"(m)),(1,10,8),(2,20,31.8),(3,30,70.7),(4,40,122.5):}| Based on this data, the student then hypothesizes that the range, R, depends on the initial speed v_(0) according to the following equation : R=Cv_(0)^(n) , where C is a constant and n is another constant. The student speculates that the constant C depends on :- (i) The angle at which the ball was launched (ii) The ball's mass (iii) The ball's diameter If we neglect air resistance, then C actually depends on :-

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