Concept explainers
In each of the next two problems, two linear models are given for the data. For each model,
(a) Find the residuals and their sum;
(b) Find the sum of the squares of the residuals;
(c) Decide which model is the better fit. (See Example 2.)
International Trade The following table shows the South Koreas’s petrochemical exports to China (in billions of dollars) for several years.
Year | 2010 | 2011 | 2012 | 2013 | 2014 |
Petrochemical | 16 | 21 | 21 | 23 | 21.4 |
Let x=10 correspond to the year 2010. Two equations that model these data are
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Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- 3. Let sin (22) + cos (T2) f(z) = z(22 + 1)(z+1) Compute f(z)dz over each of the contours/closed curves C1, C2, C3 and C4 shown below. L 10 -C x Don't use any Al tool show ur answer pe n and paper then takearrow_forwardwhat is the slope of the linear equation-5x+2y-10=0arrow_forward1. Evaluate (2,5) (3x+y)dx+(2y-x)dy (0,1) (i) along the straight lines from (0, 1) to (2, 1) and then from (2, 1) to (2,5), and (ii) along the parabola y = x² + 1. Don't use any Al tool show ur answer in pe n and paper then takearrow_forward
- Don't use any Al tool show ur answer in pe n and paper then take 20. Solve the given system of differential equations: x' = x+y, x(0) = 0 y' = 2x, y(0) = 1arrow_forward4. Verify the Cauchy-Goursat theorem for the function f(z) =225z around the closed curve C defined by a half circle || = 1 from the point (1,0) to (-1, 0) in the counterclockwise direction and then the straight line from (-1,0) to (1,0). Don't use any Al tool show ur answer in pe n and paper then takearrow_forward2. Evaluate the following integral using cauchy integral theorem: ||=3 sin (22)+cos (22) (2-1)(2-2) -dz Don't use any Al tool show ur answer in pe n and paper then takearrow_forward
- 18. Solve the given differential equation: y' + y = f(t), y(0) = 5, where f(t) = 0arrow_forward16. Solve the given differential equation: y" + 4y Given, = sin (t)u(t2), y(0) = 1, y'(0) = 0 1 = (x² + 1)(x²+4) 1/3 -1/3 + x²+1 x²+4 Don't use any Al tool show ur answer in pe n and paper then takearrow_forwardHow to solve and explain (7x^2 -10x +11)-(9x^2 -4x + 6)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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