Imagine that someone takes many measurements of a real-world quantity at regular intervals of time, thereby...

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Imagine that someone takes many measurements of a real-world quantity at regular intervals of time, thereby producing a large data set S = {x₁,x2,...,xN} consisting of the values of their measurements, ordered according to the times at which they were taken. After receiving this data, you produce the new data set S' = {y₁, 92, ..., YN-1}, where yn = Xn+1 En for 1 <n< N. A. Suppose that in analyzing S", you notice that max y₁ - y₁ < e for some very small 1≤ij<N € > 0. Based on this finding, what kind of a function do you think will best fit the date? That is, what kind of a function do you think will best describes the values of the measurements an in terms of the times at which they were taken? B. Suppose instead that you go on to compute S" = {21, 22,..., ZN-2}, where Zn = Yn+1 Yn for 1 <n< N-1, and you notice that max 2; -2₁<e for some very 1<i,j<N small > 0. Based on this finding, what kind of a function do you think will best fit the data? - Imagine that someone takes many measurements of a real-world quantity at regular intervals of time, thereby producing a large data set S = {x₁,x2,...,xN} consisting of the values of their measurements, ordered according to the times at which they were taken. After receiving this data, you produce the new data set S' = {y₁, 92, ..., YN-1}, where yn = Xn+1 En for 1 <n< N. A. Suppose that in analyzing S", you notice that max y₁ - y₁ < e for some very small 1≤ij<N € > 0. Based on this finding, what kind of a function do you think will best fit the date? That is, what kind of a function do you think will best describes the values of the measurements an in terms of the times at which they were taken? B. Suppose instead that you go on to compute S" = {21, 22,..., ZN-2}, where Zn = Yn+1 Yn for 1 <n< N-1, and you notice that max 2; -2₁<e for some very 1<i,j<N small > 0. Based on this finding, what kind of a function do you think will best fit the data? -

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A The fact that maxyiyj is very small suggests that the differe... View the full answer