Problem Statement Sydney Food Festival (SFF) is an annual event that happens in the month of June and it runs for a week. The festival showcases Sydney's best food, prepared fresh in food trucks for customers to enjoy the produce from local regions. Due to COVID19, the festival was cancelled last year (in 2020) and the council is determined to have a system ready to help run a COVID19 safe festival this year. For this assignment, you are being tasked with analysing the needs of many stakeholders and coming up with requirements for a system called the "SFF System" (SFFS)*. This system will aim to provide a way for food businesses to register and run their business and for customers to collect their food through delivery people who deliver the food from the food trucks to customers awaiting at collection points. You have been tasked with going through the initial proposal described below and detailing some features and processes that SFFS would need to provide. An extract from the proposal: Account Registrations: Australian food businesses who are interested in securing a spot in the festival can register with SFFS. In order to register for a food business account, they would need to register their details (such as an Australian business number (ABN), and other necessary business details). A SFFS manager will cross-check if the food business has a valid ABN by using the government ABN look-up server. Once the ABN is verified (by getting an acknowledgement back from the ABN look-up Server), food businesses are provided with credentials to login. They can also request their stall/spot from the list of available stalls and depending on their choice of stall, they are sent an invoice to make a payment and secure their stall. While requesting a stall/spot, they can choose optional add-ons such as an extra burner, an extra supply of fuel to run their burners, etc. Payment is conducted through the system which uses a third party gateway to process the payment and the receipt can be downloaded, if requested. Customers can make an account on SFFS. Customers have to pay a small fee to register their spot for a time interval on a particular day. The payment is done through the system and the system uses the same third party gateway to process the payment and the receipt can be downloaded, if requested. To ensure social distancing and to avoid crowd congestion, delivery people are employed to deliver food from the carts to the customers at designated collection points. Anyone interested has to register to be a delivery person. Once their credentials are verified, they are registered as a delivery person whereby training modules are released for them to understand their roles and responsibilities. Their tax file number (TFN) details and bank account details are confirmed so that payment can be made after the festival. During the Festival: The Sydney Cricket Ground (SCG) will be the venue for the festival in 2021 to cater for the large crowds. Food businesses have to finalise their menu for the entire duration of the week and this can change for each of the days. Once the menu is finalised, SFFS will enter the menu in the system and if an item gets sold out on the day, the food business can change the status of the menu item to unavailable. The orders are received through the system and the system can update the status of the order depending on what is happening (such as order received, order is being cooked, order awaiting to be picked, order collected etc.). Customers can view the menu once they are at the SCG by scanning a quick response (QR) code which gives them access to the menu through SVSS whereby they can place their order. The payment for the order goes through the same payment gateway whereupon they can download the receipt, if required. Once the order placed, customers can...

1. Suppose that leavesfl'] denotes the set of leaf nodes in a regression tree T. Let fdenote a leaf node in ieavesfl'] ; let Cfdenote the set of data points in a leaf node j"; and let YI- be the value [target variable] of a data poirrt .i in C; Use above symbols [leavesfl'], E Cf i, Yj]to answer the following questions. Use examples or diagrams to aid your explanations. a. [4%] Derive the equation for measuring the impurity of the regression tree in CART. b. [2%] Briey explain the differences in building a classification tree and a regression tree. c. [2%] Explain how to determine the split of a node for numerical attribute in constmcting a classication tree. Use examples or diagrams to aid your explanations. d. [2%] Explain how to derive the training sets of Random forest with K trees. e. [2%] Explain how each node is determined in constructing Random Forest. f. [4%] Explain how to obtain the classication result by using Random forest with K trees. Explain how to derive the numerical prediction result by using Random forest with Ktrees. For the ODE dy 2 + 3xy = e-1.5x dx y(0) = 3, estimate y(4) with a step size of 2 using a. Heun's Runge-Kutta 2nd order method b. Midpoint Runge-Kutta 2"d order method c. Ralston's Runge-Kutta 20 order method\fImplement Jacobi method using any programming language Implement Jacobi method using any programming language for using the following initial values 12x, + 3x,- 5x, = 1 x + 5x2 + 3x, = 28 3x + 7x + 13x3 = 76 X = 0 X