2. (a) (20 points) Given |b) = |-), find (S2), AS, (S2), and ASg. Sketch a...
(a)
Sketch the line that appears to be the best fit for the given
points.
(b) Find the least squares regression line. y(x)=
(c) Calculate the sum of squared error.
11. [-13.22 Points] DETAILS LARLINALG8 2.6.017. Consider the following. 5 (1,5) 4 (2, 4) 3 2 (2, 2) (3, 1) - Х - 1 2 3 4 -14 (a) Sketch the line that appears to be the best fit for the given points.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 = smooth-yellow, 2 = smooth-green, 3=wrinkled-yellow, and 4=wrinkled-green. Do the results make sense? (a) The mean phenotype code is (Round to the nearest tenth as needed.) (b) The median phenotype code is (Tvpe an inteaer or...
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives State of Nature Decision Alternative 1 2 d1 10 1 d2 (a) Suppose P(s1)-0.2 and P(sz)-0.8. What is the best decision using the expected value approach? Round your answer in one decimal place v, with an expected value of The best decision is decision alternative d2 3.2 (b) Perform sensitivity analysis on the payoffs for decision alternative di. Assume the...
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks]
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...
2. [-/2 Points] DETAILS SCALCET8 6.1.006. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. y = sin(x), yx, X/2, We were unable to transcribe this imageSketch the region enclosed by the given curves. y = sin(x), y = x, X = A/2, X = n
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
Ks+8-0. For this system. 6. A negative feedback system has characteristic equation 1+ s2 +2s +2 (a) Sketch the root-locus, marking all important points, numerical values, incl. the angle of departure (possibly in terms of tan(x (b) Find the gain when the roots are both equal and find these 2 equal roots. 6 pts) 4 pts)
Ks+8-0. For this system. 6. A negative feedback system has characteristic equation 1+ s2 +2s +2 (a) Sketch the root-locus, marking all important points,...
Problem #2 Given the system below: C(s) R(s) s2 (s1) s2 (s +3) (a) Determine the system type. (b) Calculate the steady-state error for an input of 5u(t). [0] (c) Calculate the steady-state error for an input of 5tu(t). [15] (d) Discuss the validity of your answers to part (b) and (c). HINT: Is the system stable?
18. Given the table of measurements 24 26 3028 29 28 29 29 25 3026 29 27 31 32 28 2827 27 26 27 25 29 27 30 28 27 28 a. Make a tally histogram. b. Make a histogram for the individual measurements. c. Make a grouped histogram with the first group 24 to 25, the second group 26 to 27, etoc. 22. Use a statistical calculator to check the results for , o, and s in the following:...
1. Given the open-loop transfer function G(s)h(s) find the asymptotes, (b) find the breakaway points, if any, (c) find the range of K for stability and also the ju-axis crossing points, and (d) sketch the root locus. (20 points) K/Ks+1)(s+2)(s+3)(s+4)) where 0 s K < 00, (a) K/[s(s+3)(s2+2s+2)] where o s K < o, (a) locate the For the open-loop transfer function G(s)H(s) asymptotes, (b) find the breakaway points, if any, (c) find the jw-axis crossing points and the gain...