Q1 (25 pts) There are two goods, x1 and x2. Respective prices for each good are p1 and p2. Consumer income is m. The utility function of the consumer is: u(x1,x2) = x13x27

Consider the quasilinear utility function Assuming an interior optimum, find the demand function for y:

Complete the sentence the correct present tense form of ESTAR. Y tú, ¿cómo ?

Yulia finds that her enjoyment of pizza (x1) is greater when she has more soda (x2) to consume. Which of the following utility functions reflects Yulia’s preferences to the extent that her enjoyment of pizza is dependent on the amount of soda that she consumes?

Q2.d. What is the income elasticity of good x1?

If the frequency of the beam increases, the propagation speed in the media will _______________.

Which of the following lists the correct equation for duty factor?

You are clustering a collection of 10,000 news articles based on their TF-IDF (term frequency-inverse document frequency) vectors, resulting in a sparse, high-dimensional representation of the documents. You are using K-Means and GMMs to identify thematic clusters such as sports, politics, and technology. Which of the following statements are true in this context? 

Suppose you mistakenly use CowsPerAcre instead of NitrogenLevel. According to the wrapper results, how much does the cross-validation accuracy change?

You are building a regression model to predict house prices based on features such as size, age, number of rooms, and location. You are considering two feature transformation techniques: Principal Component Analysis (PCA)} to reduce dimensionality. Polynomial feature expansion} to capture nonlinear relationships. Which of the following statements are true in this scenario?