4. An experiment has a data set that fits the function T = a x2 +...
Please help! (a) Let us consider a full model of a balanced (all t treatments have equal number of observations r) CRD design with t treatments and r replications of each treatment, hence having n-rt observations. 2. i. Minimizing sum of square error Δfull (μ'Ti) -Σι-1 Σ-1 (Vi,- μ-Ti)2 with respect to μ and Ti find the least square estimators of μ and Ti as μ and Ti. Hint: Take derivative of the objective function with respect to μ and...
2. (a) Let us consider a full model of a balanced (all t treatments have equal number of observations r) CRD design with t treatments and r replications of each treatment, hence having n rt observations. . Minimizing sum of square error Δ/u114%)-ΣΊ ΣΊ (Vij-μ-%)2 with respect to μ and Ti find the least square estimators of μ and Ti as μ and T. Hint: Take derivative of the objective function with respect to μ and Ti and equate then...
2. (a) Let us consider a full model of a balanced (all t treatments have equal number of observations r) CRD design with t treatments and r replications of each treatment, hence having n-rt observations i. Minimizing sum of square error Δfull(μ, Tỉ)-Σι-12jai (Vij-l-ri)2 with respect to μ and Ti find the least square estimators of μ and Te as μ and Ti Hint: Take derivative of the objective function with respect to u and Ti and equate then to...
10. This data set is super small. It's really kinda cute. t 1.4 2.7 3.8 y 1.0 -2.3 1.6 I think a function of the form f(t) = c Int+2 cost could fit the data well. Let's find the best fit of this form in the least squares sense. Set your calculator in radian mode. (a) (4 points) Write the square error to be minimized to find the best choices for and cu (b) (8 points) Let c be a...
(2) Solow Model Arithmetic: Suppose that the economy has the following production function: K >0 The population grows at the exogenously given rate n, so that N n)N (a) Derive the per worker production function, where y-Y/N is output per worker and k = K/N is capital per worker (b) Derive the aggregate accumulation equation for capital per worker expressed solely as a function of k. k', A, and parameters (s. θ, d, n). Recall the law of motion for...
(2) Solow Model Arithmetic: Suppose that the economy has the following production function K >O The population grows at the exogenously given rate n, so that N-(1+n)N (a) Derive the per worker production function, where y- Y/N is output per worker and k = K/N is capital per worker. (b) Derive the aggregate accumulation equation for capital per worker expressed solely as a function of k, ,A, and parameters (s,8, d,n). Recall the law of motion for capital: (e) Show...
(2) Solow Model Arithmetic: Suppose that the economy has the following production function: K > 0 n > The population grows at the exogenously given rate n, so that N,-(1 + n) (a) Derive the per worker production function, where y - Y/N is output per worker and k- K/N is capital per worker (b) Derive the aggregate accumulation equation for capital per worker expressed solely as a function of k, k', A. and parameters (s, θ, d, n). Recall...
In the table, weight gain-time data for the oxidation of some metal at an elevated temperature are tabulated. W (mg/cm Time (min) Data Set 1.90 25 Data Set 2 3.76 75 Data Set 3 6.40 250 (a) Determine whether the oxidation kinetics obey a linear, parabolic, or logarithmic rate expression (b) Now compute W after a time of 3000 min. Part 1 Your answer is partially correct. Try again. The first part of this problem is to establish whether the...
4. (14 points) For a linear 2-DOF model of a vehicle E(r) moving on a uneven road, (a) describe the base excitation y(t) when the vehicle is moving to the right at speed v; (b) derive equations of motion for the vehicle model; (b) build a Simulink model based on the equations of motion, using the blocks given below, with y() as the input and xi() and x2) as outputs. m2 x1(r) yt)input du/dt 1/s Derivative Integrator Sum Signal Generator...
Numerical methods(a) Use the following data to find the velocity and acceleration at t = 10 seconds:Time (s):0246810121416Position (m):00.71.83.45.16.37.38.08.4Use second-order correct (i) centered finite-difference, and (ii) backward finite-difference methods. (b) Use the Taylor expansions for f(x +h), f(x+2h), f(x +3h) and derive the following forward finite-difference formulas for the second derivative. Write down the error term$$ f^{\prime \prime}(x) \approx \frac{-f(x+3 h)+4 f(x+2 h)-5 f(x+h)+2 f(x)}{h^{2}} $$