Use the equation below for calculating the correlation co-efficient, r to state when the correlation would be zero. E(X – X)(Y – Y) ΣΧ-Χ)2Σ(Υ - Υ)2 r =
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- The variables X & Y have a negative correlation of -.70, therefore you could predict that A. None of the above B. as X increases, Y would decrease C. Both X & Y decrease at a -.70 rate D. Both X & Y increase at a +.70 rateGiven f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?Make sure to show the correct work and solution: Prove ρ ≤ 1 if ρ is the correlation of X and Y .
- the relationship between aphids, A, ( prey) and ladybugs, L, (preditor) can be described as follows: dA/dt=2A=0.01AL dL/dt=-0.5L+0.0001AL a) find the two critical points of the predator-prey equations b) use the chain rule to write dL.dA in terms of L and A c) suppose that at time t=0, there are 1000 aphids and 200 ladybugs, use the Bluffton university slope field generator to graph the slope for the system and the solution curve. let 0 be less than or equal to A who is less than or equal to 15000 and 0 is less than or equal to L which is less than or equal to 400.The following data is available from a batch fermentor where glucose is converted to ethanol. In the data, t is the time of the sample collection, and P is the concentration of ethanol. t 0 0.2 0.4 0.5 P 2 5 15 30 apply a black-box modeling approach to the data, and fit it to the following nonlinear model in the images. with A and B are model parameters, and x is the time, and y is the ethanol concentration in the fermentor. apply a transformation to the data for to make it solvable on pen-and-paperDerive the two expressions for the IS and LM equilibrium relationships respectively. Sketch a graph of the two relationships.
- find a point c satisfying the conclusion of the MVT for the given function and interval y = e−2x , [0, 3]Given the function f(x) = e-3x cos 3x, x = [0, 2π]. When is the rate of change of f(x) a maximum?Overtaking City A has a current population of 500,000 people and grows at a rate of 3%/yr. City B has a current population of 300,000 and grows at a rate of 5%/yr.a. When will the cities have the same population?b. Suppose City C has a current population of y0 < 500,000 and a growth rate of p > 3%/yr. What is the relationship between y0 and p such that Cities A and C have the same population in 10 years?