2. Multi-liniear Regression dataset is: Index (1) Suppose that we want to build a lincar model that predicts variable y given variables and x. he Question S: Write the mathematical expression of the model. Question 9: Write the mathematical expression of the mean-square-error cost function. The value of parameters that minimizes the above cost function can be obtain by the Normal Equation Question 10: Given the above dataset, write explicitly the matrix X and column vector y in the Normal Equation. 3. Polynomial Regression Suppose that we want to build a degree-2 polynomial model to fit the following dataset: Index x (input variable) y (output variable) (xopir)is thef ature The model expression is= x-87,where is the parameter vectorand x vector. The cost function is Question 1 l: For parameter vector (2,-1,1),what is the average cost over the above dataset? Parameters that minimize the polynomial regression cost function can also be found by the Normal Equation (xx)1XT.y Question 12: Given the above dataset, write explicitly the matrix X and column vector y in the Normal Equation. 4. (Single-Class) Logistic Regression The single-class logistic regression model is given by p = (90 + 1+ +e, x.) Here (t) class. if p