Concept explainers
Polynomial Models Use a graphing calculator to do the following cubic and quartic regression problems. (See Examples 5 and 6.)
Consumer Confidence The Conference Board's consumer confidence index (CCl) is listed for the years 2008 to 2015 in the table below. (Data from: The Conference Board.)
Year | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
CCI | 88 | 40 | 57 | 65 | 62 | 58 | 79 | 104 |
a. Plot the data with
b. Use quartic regression to find a fourth-order polynomial function
c. Graph
d. What does the model estimate for the CCI in 2015? Is this close to the actual index value shown in the table?
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EBK MATHEMATICS WITH APPLICATIONS IN TH
- 30 Laplace Transform: Differential Equation Solutions Task: Refer to Question 30 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharingarrow_forward26 Measure Theory: Lebesgue Integral Task: Refer to Question 26 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharingarrow_forwardA dessert store sells smoothies and ice cream. The cost for these two products is provided according to the pair of second- order linear differential equations: d²x dt² 2 +3x=2y d² y dr² +3y=2x 2 The function x(t) represents the cost of smoothies, while y(t) represents the cost of ice cream. Determine x(t) and y(t) given the following initial conditions: dx dy t = 0, x = 4, y = 2,- = O and = 0. dt dt SECOND ORDER LINEAR DIFFERENTIAL EQUATION! Use either second order/Laplace formula or what it suits. NOT eigenvalues/ eigenvectors! (20 points)arrow_forward
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