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-The following figure shows a data set with one-real valued input z and one real-valued output y. There are 20 training data points. 8

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-The following figure shows a data set with one-real valued input z and one real-valued output y. There are 20 training data points. 8 7 6 5 4- 3- 2- 1 7 8 66 10 11 12 13 14 15 16 x (a) Suppose that you are training a regressogram using [0,4), (4,8), [8,12), and [12, 16) as the bins. Draw your regressogram result on the figure above. I (b) Suppose that you are training a running mean smoother using h=5. What is the predicted value of y when x = 6? (c) Suppose that you are training a running mean smoother using h=5. What is the predicted value of y when x = 15? (d) Suppose that you are training a kernel smoother using the following kernel function: K(x,x)= (3-x-xil if x-x|3, = otherwise. What is the predicted value of y when x = 13?

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