Math Discussion ( 150 words) Two versions (total 300 words)
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I need two versions one for me and one for my friends (each one 150 words) we are in the same class and same teacher.

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The method of k-nearest neighbors is fundamentally similar to the “First Law of Geography”: the idea that events close in place and time are more similar to one another than events far separated in place and time. Give an example where you’ve known people to be judged based on the assumption that they will behave similar to others who are “close” to them on some metric. In the case of your example, was this a good prediction, or not? Why?

I attached two example

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The method of k-nearest neighbors is fundamentally similar to the “First Law of Geography”: the idea that events close in place and time are more similar to one another than events far separated in place and time. Give an example where you’ve known people to be judged based on the assumption that they will behave similar to others who are “close” to them on some metric. In the case of your example, was this a good prediction, or not? Why? Example 1 The underlying concept of this method resembles the clustering strategy in retail marketing where you see similar businesses operating in close proximity (e.g., car dealerships, restaurant rows, furniture stores, shopping malls, etc.) in hopes to capitalize on existing customer volume and demographics. This can at times be a very effective strategy because people generally tend to behave in a similar manner given certain variables. For example, in the two maps below, we can see how closely two national pizza chains are clustered near each other. Domino’s Pizza was created back in 1960, and Papa John’s Pizza was founded more recently in 1984. Papa John’s began a major expansion in the late 1990s and strategically opened locations in relatively close proximity to Domino’s Pizza. In addition to positioning themselves near major population bases, the Papa John’s brand made the assumption that people that already buy pizza from a national chain brand will probably be open to buying from their national brand as well. The operating metrics show that this was a good prediction. While the Papa John’s chain has struggled recently due to some PR missteps, during their growth phase in the 1990s when they were opening pizza stores near other national chains, their same-store sales growth averaged an industry-leading 7.7% annually. Example 2 Throughout my life I have had the opportunity to travel and visit many countries. With these experiences I have always noticed that no matter where I go car dealerships always seem to be located very close by to one another. I have always found this very interesting because overtime, more and more dealerships appear in the vicinity of the ones that are already there. This allows the customers to find the best prices and models and to be able to compare them between dealerships as easy as they can. I found this very interesting map of dealerships located in the US, it shows a clear trend around the country that dealerships are usually located by one another. We can see that in several locations there are clusters of around 500 dealerships within 25 miles of distance which is a large number! These locations are very likely to keep growing over time since due to the First Law of Geography. ...
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Final Answer

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Example 1:
In the k-nearest neighbor (kNN), class determination for the new data is performed through a
very simple majority of the voting system, which likely can ignore similarities on the data. And
also to allow occurrence of the double majority classes which could led to mis-classification. In
this example, is an approach that resolves majority vote’s issues through calculating weigh...

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