time between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. A technician can contact on average 1.2 regular customers per hour and 1 new customer per hour. Develop a linear programming model that will enable HTS to allocate technician time between regular customers and new customers. Report the optimal solution. Management of High Tech Services (HTS) would like to develop a model that will help allocate its technician’s
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Date: 29/06/2009 . Bernoulli’s Law Name: Hibah Ismail . Section: 1 . Partner’s Name: Mohammad Kanso . A) Drag Coefficient What happens when you give the ball a gentle sideways push? Why? When we give the ball a gentle sideways push‚ it returns to its initial position above the fan. The air particles around the fan have a velocity equal to zero since they are still air. Therefore‚ the velocity of the
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Test at the 2.5% significance level if B is negative. 3. It is believed that the annual repair cost (in RM) for a car‚ y ‚ is related to its age (in years)‚ x. The simple linear regression and correlation analysis is performed to a sample of 10 cars. The simple linear regression line is = 65.0467+11.3216 x and the linear correlation coefficient is r = 0.8674. a. What is the repair cost of a 6.25 year-old car? b. Given. Find the value of . c. Find the value of. d. Construct a 99%
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chapter we deal only with ordinary DEs‚ NOT partial DEs.] The order of a d.e. is the order of the equation’s highest order derivative; and a d.e. is linear if it can be put in the form any (n)(x)+an−1y (n−1)(x)+· · ·+a1y (1)(x)+a0y(x) = F‚ 1 where ai‚ 0 ≤ i ≤ n‚ and F are all functions of x. For example‚ y = 5y and xy − sin x = 0 are first order linear d.e.; (y )2 + (y )5 − y = ex is third order‚ nonlinear. We observe that in general‚ a d.e. has many solutions‚ e.g. y = sin x + c‚ c an arbitrary
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References: Algebra.com‚ (2013). Retrieved May 5‚ 2013 from http://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.707072.html Algebra in Real Life‚ (2013). Retrieved May 5‚ 2013 from http://www.ehow.com/how_5714133_use-algebra-real-life.html NASA‚ (2013). Retrieved May 5‚ 2013 from http://www.nasa.gov/pdf/514479main_AL_ED_Comm_FINAL
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Rajashekhar (a) Using exponential smoothing‚ with α = .6‚ then trend analysis‚ and finally linear regression discuss which forecasting model fits best for Salinas’s strategic plan. Justify the selection of one model over another. Answer: We have done forcasting using exponential smoothing and linear regression methods. Below are the forcast values: Method Exponential smoothing MAD 3.5 Linear Regression 10.6 Year 1 1 2 3 4 5 Forecast value 86.22 54.72 56.36 58 59
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2. (1.7; 7) Determine if the columns of the matrix form a linear independent set by the definition of linear independence. 1 4 −3 0 −2 −7 5 1 −4 −5 7 5 3. (1.7; 10) Let 1 −2 2 v1 = −5 ‚ v2 = 10 ‚ v3 = −9 −3 6 h (a) For what values of h is v3 in span{v1 ‚ v2}? (b) For what values of h is {v1 ‚ v2‚ v3} a linearly dependent set? 4. (1.8; 24) Suppose vectors v1 ‚ ...‚ vp span Rn‚ and let T : Rn → Rn be a linear transformation. Suppose T (vi ) = 0 for all i = 1‚ ...‚ p. Show
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STAT2008 – REGRESSION MODELLING LECTURE NOTES - CHAPTER 1: SIMPLE LINEAR REGRESSION I. Introduction The basic aims of this chapter are: • Review of the simple linear regression material covered in Statistical Techniques II; • An introduction to some new notation‚ including matrices; • A more detailed study of the properties of the regression estimates; and‚ • An investigation of diagnostic procedures to check the credibility of the underlying assumptions of our regression model. We will‚ as much
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problem is identified properly because this problem statement will indicate the following three major aspects: Q2. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming. (Steps involved in LPP-4‚ Example-3 Advantages of LPP-3) 10 marks Answer. Steps of formulating Linear Programming Problem (LPP) The following steps are involved to formulate LPP : Step 1 : Identify the decision variables of the problem. Q3
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3 hours to do Submit doc or pdf (include code‚ figures) No set office hours but available by email • Requirements for passing Attend all lectures Complete all problem sets (-‚ √‚ +) • Prerequisites Basic familiarity with programming Basic linear algebra‚ differential equations‚ and probability Outline (1) (2) (3) (4) (5) Getting Started Scripts Making Variables Manipulating Variables Basic Plotting Getting Started • To get MATLAB Student Version for yourself » https://msca.mit.edu/cgi-bin/matlab
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