Assume a linear model y = wo + w₁x and we use linear regression to train this model. The cost function is MSE = 1/12/²1 (w². x(i) — y(i)) ² (the gradient function is OMSE (w².x(i) — y(i)) x(i)). θω; Consider stochastic mode of linear regression and initial values wo = 3, w₁ 3, w₁3, and the learning rate a = 0.01. What are wo and w₁ respectively after training with the following two examples in the given order ? (1, 3.05) (4, 8.80) = 2²/2₁ ἦ Σ1 WO=1.8792, w1=2.1432 WO=2.6251, w1=2.4723 WO=2.9092, w1=2.7284 WO=2.8229, w1=2.4686

the point (-2, 0). Find the minimum rate of change of f(x, y) = x²e-2y a

Please answer this question using the assumptions from the Solow Model In a country, the production function in terms of output per capita, y, and capital per labor, k, is y = k(12) The fraction of output saved, s, is 25% and the depreciation rate, δ, is 0.05. Assume that the population does not grow. What is the steady-state of capital per worker, k*, and output per worker, y*? What happens to the steady-state values if the population growth rate rises to 5%? By how much would the country have to increase its savings rate in b) in order to reach the same levels of steady-state values as in a)? Does the country’s growth rate increase in c) compared to a)? how?

The cost function for a species of wild fish is estimated to be a function C(x) where x is the number of millions of pounds of this fish caught and C is the cost in millions of dollars. Two points that are on the graph are (x, C) = (3, 0.103) and (x, C) = (6, 0.133). Using this information and assuming a linear model, determine a cost function. C(x) =