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Exam 2019 Q 10 (& 8)

Hello, I am kind of confused with the signs for both Q10 and Q8. In class we have seen this formula: Screenshot 2022-01-13 at 12.55.56.jpg interesting here is the minus sign. However, in the exam corrections, this formula here is usedScreenshot 2022-01-13 at 12.56.29.jpg with the plus sign. I understand that we want to decrease the value of x to get a wrong prediction. Nevertheless, using the first formula I of course get the opposite result than what is expected. Also, in the 2020 exam there is a similar question, where the first formula is used. So why does for this question this formula not work?
Screenshot 2022-01-13 at 12.56.41.jpg

Top comment

Hi,
it is advisable to understand the context of a formula before use it. The formula you have just posted solves the maximizer of \(l(\hat x)\), and this \(l\) is the \(g\) in this question, and the uppermost formula in your post doesn't have the minus sign at the first equation. In other words, the two \(g\)s are different.

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