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Question: i am confused about 3 is anyone could help me...

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Suppose all n data values in a data set are positive, with 0 < yi < < Yn Use the second derivative test from calculus to show that the value of the hypothesis h that minimizes the loss function is the harmonic mean of the data, defined as TL 3. Properties of the Harmonic Mean Suppose all n data values in a data set are positive, with 0 < yi Y2-…-yn (a) Show that the harmonic mean always falls between the smallest and largest data values, which means it is a reasonable choice for a hypothesis. This amounts to proving the inequality (b) Show that if all the data values in a data set are multiplied by the same constant c, then the harmonic mean is also multiplied by c. This amounts to proving that (c) If n is even, show that the harmonic mean of the data values can be computed recursively by splitting the data in half, computing the harmonic mean of each half, and then finding the harmonic mean of those two numbers. This amounts to proving that

I am confused about #3. Is anyone could help me to solve it?

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