Obtain the optimal parameters (alpha and beta) using Excel's Solver that would minimize the previously calculated 2020 MSE. alpha = 1, beta = 0 alpha= 0.342, beta = 0.631 alpha=0, beta 1 alpha 0.908, beta = 0.337 =

From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by   P  =  37.5t + 6075     State A P  =  168.2t + 5138     State B where P is the population (in thousands) and t represents the year, with t = 0 corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)

The same disease is spreading through two populations, say Pi and P2, with the same size. You may assume that the spread of the disease is well described by the SIR model. dSa - BaSaIa dt dla - dt dRa YaIa dt with Sa(0) + I.(0) + R.(0) = N where N denotes the fixed population size. The subscript a identifies the population P or P2. For example, if a = 1, the variables are related to P1. Assume that S1 (0) = S2 (0) and I1(0) = I½(0) and that no interventions such as quarantine or vaccination have been implemented. If the difference in the spread of the disease is due only to the poor over-all health of a population, which population has the best over-all health of the two populations? - Susceptible Population 1 - Susceptible Population 2 700 600 500 400 300 200 100 10 15 20 t P1. P2. Susceptible

Please calculate the following Chi Square equations.  1. Chi Square Single Sample Physical activity generally declines when students leave high school and enroll in college.  This suggests that college is an ideal setting to promote physical activity.  One study examined the level of physical activity  in a sample of 570 college students.  Use the hypothesis steps provided in the video to determine whether there is a significant difference  in physical activity among college students.  State whether you reject or fail to reject the null hypothesis.

Use the following linear regression equation to answer the questions. x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4   a) Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1?b) Suppose x2 increased by 2 units. What would be the expected change in x1?c) Suppose x2 decreased by 4 units. What would be the expected change in x1?

Given a 98% level of confidence, find the critical value Zα/2 and also solve when given a 93% level of confidence, find the critical value Zα/2.

If L(x)=mx+b is the linearization of the cube root of 3x+1 at x=333 , then b=