choose 4 nuber from 1 to 5 with repetitions allowed to create the largest standard deviation posiible
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choose 4 nuber from 1 to 5 with repetitions allowed to create the largest standard deviation posiible
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- Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 D 15 15 21 24 28 32 X1 2 6 6 8 6 11 15 20 X2 16 10 14 11 3 8 7 4 a. Using technology, construct a regression model using both independent variables. y= (15.3952) + (1.0092) x₁ + (-0.5869)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using α = 0.05. Test the significance of x₁. Identify the null and alternative hypotheses. Ho B₁ = H₁ B₁ 0 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.) Determine the appropriate critical value(s) for α = 0.05. The critical value(s) is (are) ☐ (Round to two decimal places as needed. Use a comma to separate answers as needed.)Calculate: In(n) In(1 +r) where n=2, r=0.137, and In is the natural log function.3. Find the margin of error for the given values of c, s, and n. c=0.99, s=5, n=22 The margin of error is
- Find the optimal solution for the following problem. Note: Round your answers to 3 decimal places. Maximize C = 13x + 9y subject to and 6x + 11y ≤ 18 16x + 21y ≤ 41 x ≥ 0, y ≥ 0. a. What is the optimal value of x? X b. What is the optimal value of y? c. What is the maximum value of the objective function?Could you please show the breakdown of NPV calculation for each fraction(i) (a) Find the value L(32) of the Lagrange polynomial at 32 and the relative error in the approximation of f(32) by L(32). (b) Show your work by filling in the standard table for the method showing the process of evaluation of the Lagrange polynomial at the given point: Ik Uk La(z) VkLk(2) (c) Accordingly. L(32)= and the relative error in question is given by RE(f(32) L(32)) = (ii) Find the value L(38) of the Lagrange polynomial at 38 and the relative error in the approximation of f(38) by L(38). Proceed then as in the previous part by filling in the standard table Ik Uk LA(z) UkLk(2) and by providing the required values: L(38) RE(f(38) L(38))=
- 1. The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = 3, for x>1. Determine the following (round all of your answers to 3 decimal places): a. P(X 9) c. P(8 12) e Determine x, such that P(X < x): = 0.75Draw a graph of return on y axis and standard deviation on x-axisDraw the graph of return on the y-axis and standadr deviation on the x-axis