Let us assume that a body is to travel from point A to point E, with(adsbygoogle = window.adsbygoogle || []).push({});

B, C, D being intermediate points. The points between A and E are

equally spaced apart by a distance of 10 km. The body is SUPPOSED to

travel AB, BC, CD, DE with speeds of 10 kmph, 20 kmph, 30 kmph, 40

kmph respectively.

With the data given above, let us suppose that the body begins its

journey from A. Please note that the instantaneous speed of the body

is available. Once the body covers AB, we can compute the actual

average speed. Let us suppose that the body actually travels AB with

an average speed of 8 kmph. So, the fact is that the body is SUPPOSED

to cover AB with an average speed of 10 kmph but actually performed

its journey with average speed of 8 kmph. Now the body being

traversed AB, is supposed to traverse BC. At this point can we

PREDICT by how much difference in average speeds (SUPPOSED ~ ACTUAL)

the body can cover BC?

To put it simply, is there a way we can take the history (difference

in average speeds of AB) into account in predicting the future

(difference in average speeds of BC, CD and DE)? Please assume that

the reasons for the difference in actual and Supposed speeds are

completely arbitary.

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# Predicting the future value using the past value

Can you offer guidance or do you also need help?

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