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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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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Convex Optimization Solutions Manual Stephen Boyd Lieven Vandenberghe January 4‚ 2006 Chapter 2 Convex sets Exercises Exercises Definition of convexity 2.1 Let C ⊆ Rn be a convex set‚ with x1 ‚ . . . ‚ xk ∈ C‚ and let θ1 ‚ . . . ‚ θk ∈ R satisfy θi ≥ 0‚ θ1 + · · · + θk = 1. Show that θ1 x1 + · · · + θk xk ∈ C. (The definition of convexity is that this holds for k = 2; you must show it for arbitrary k.) Hint. Use induction on k. Solution. This is readily shown by induction from
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1 80 5.2 a. Construct a scatter diagram showing the hours against the unit numbers. Is the relationship between hours and unit numbers linear or non-linear? b. Construct a scatter diagram showing the ln(hours) against the ln(unit numbers). Comment on whether the relationship between ln(hours) and ln(unit numbers) is linear or non-linear. c. Using the linear regression method to derive the learning curve function (Please show your work by using the formulas in Lesson 02). What is the rate of learning
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Cambridge Secondary 1 Mathematics Curriculum Framework Contents Introduction Stage 7 .....................................................................................................1 Welcome to the Cambridge Secondary 1 Mathematics curriculum framework. Stage 8 .....................................................................................................7 Stage 9 ................................................................................................... 14
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