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- import numpy as npfrom scipy.optimize import minimizeimport matplotlib.pyplot as pltimport pickle #Implement the function calAnaliticalSolution def calAnaliticalSolution(X,y): # Inputs: # X = N x d # y = N x 1 # Output: # w = d x 1 (which is the parameter calculated from data X and label y using alalytical solution) # IMPLEMENT THIS METHOD - REMOVE THE NEXT LINE w = np.zeros((X.shape[0],1)) return w #Implement the function calRegressionError def calRegressionError(w,Xtest,ytest): # Inputs: # w = d x 1 # Xtest = N x d # ytest = N x 1 # Output: # mse = scalar value (which is the error of the regression model) # IMPLEMENT THIS METHOD - REMOVE THE NEXT LINE mse = 0 return mse Xtrain,ytrain,Xtest,ytest = pickle.load(open('diabetes.pickle','rb')) x1 = np.ones((len(Xtrain),1))x2 = np.ones((len(Xtest),1))Xtrain_i =…2. Telephone-Number Word Generator (50) o Standard telephone keypads contain the digits 0-9. The numbers 2-9 each have three letters associated with them, as is indicated by the following table: Digit Letter Digit Letter 2 A B C 6. M N O DE F 7 PR S 4 GH I 8 TU V 5 J KL 9. W X Y o Many people find it difficult to memorize phone numbers, so they use the correspondence between digits and letters to develop seven-letter words that correspond to their phone numbers. o For example, a person whose telephone number is 686-2377 might use the correspondence indicated in the above table to develop the seven-letter word "NUMBERS." Businesses frequently attempt to get telephone numbers that are easy for their clients to remember. If a business can advertise a simple word for its customers to dial, then, no doubt, the business will receive a few more calls. Each seven-letter word corresponds to exactly one seven-digit telephone number. The restaurant wishing to increase its take-home business could…C++
- Please help step by step with R program (CS) with a final code for understanding thank you. CSV is included.A robot is placed at the origin of a 2D coordinate plane (i.e. position (0, 0)). The robot is given a string Scontaining N characters in {N, E, S, W} as its instructions. For each character from the beginning of the string,the robot has to move 1 unit to the following direction:• If the character is N, the robot has to move 1 unit to the positive y-axis direction.• If the character is E, the robot has to move 1 unit to the positive x-axis direction.• If the character is S, the robot has to move 1 unit to the negative y-axis direction.• If the character is W, the robot has to move 1 unit to the negative x-axis direction.You do not know the string S. However, you know another string P that is an anagram of S (i.e. P has thesame number of N, E, S, W characters as S). You also have M data points: T1...M, X1...M, and Y1...M. For alli, you know that the robot is at position (Xi, Yi) after moving exactly Ti units.You want to know the number of possible string S that satisfies all the…5. Lemniscate or figure 8 You should have learned lemniscate or the famous figure 8 in high school as well. The following is a snip from Wikipedia. Lemniscate of Bernoulli From Wikipedia, the free encyclopedia In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2c from each other as the locus of points P so that PF₁·PF₂ = c². The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is F2 P A lemniscate of Bernoulli and its two foci F₁ and F2 Figure 8. Write a computer program (with graphics and GUI parts) that draws the figure 8. Show your analysis if applicable (which means any equation?). 9
- f the domain consists of all integer numbers, then the truth value of ∃x(x2 = -1) is:Generate a context free grammer for the expression, your final answer should be in a similar form to the red circled example.The code in caesar5.py can be used as a word unscrambler and an anagram maker. Describe how you can accomplish both word-unscrambling and anagram generation with examples.
- A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors. The first perfect number is 6, because 1, 2 and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6. Write a program to display the of sum all perfect numbers found in the first 1000 integers.Convert the Quarts ToGallons program toan interactive application. Instead ofassigning a value to the number ofquarts, accept the value from the user asinput.Which of the following are trees and which are forests? I K R S OA: Is a forest A: Is a tree L OC: Is a forest OC: Is a tree G M N R F L S M T U B: Is a forest B: Is a tree I N 0 OD: Is a forest OD: Is a tree N V H