prepare you for the Final Exam in Week 5. Points will be awarded for completion of the project. Study Table for Weeks One and Two Chapter 4 Systems of Linear Equations; Matrices (Section 4-1 to 4-6) | Examples | Reference (Where is it in the text?) | | | | DEFINITION: Systems of Two Linear Equations in Two VariablesGiven the linear system ax + by = hcx + dy = kwhere a ‚ b ‚ c ‚ d ‚ h ‚ and k are real constants‚ a pair of numbers x = x0 and y = y0 [also written as an ordered pair
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The linear probability model‚ ctd. When Y is binary‚ the linear regression model Yi = β0 + β1Xi + ui is called the linear probability model. • The predicted value is a probability: • E(Y|X=x) = Pr(Y=1|X=x) = prob. that Y = 1 given x • Yˆ = the predicted probability that Yi = 1‚ given X • β1 = change in probability that Y = 1 for a given ∆x: Pr(Y = 1 | X = x + ∆x ) − Pr(Y = 1 | X = x ) β1 = ∆x 5 Example: linear probability model‚ HMDA data Mortgage denial v. ratio of debt payments to income (P/I
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2011‚ one US dollar was equivalent to 0.7749 Euros. A linear equation of a function‚ E‚ which converts US dollars (D) to Euros (E) would be E = 0.7749D You would just put the number of dollars in for "D" and multiply by 0.7749 and this will give you the number of Euros you would get for your US dollars. This is a "real world application" of a linear function. Cell Phones Just about everyone has a cell phone‚ and most rate plans are a linear function of some kind. Let’s take a look at a basic example
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MATH 1003 Calculus and Linear Algebra (Lecture 1) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 1003 1 / 18 Outline 1 About MATH 1003 2 Mathematics of Finance 3 Simple Interest Albert Ku (HKUST) MATH 1003 2 / 18 About MATH 1003 About MATH 1003 Lecturer: Albert Ku (Office: Rm 3492. E-mail: maybku@ust.hk) Teaching assistant: Dy Chun Yin‚ Li Xing‚ Lau Hing Sang and Wong Kwok Pang Office hours at Learning Commons: Fri 10:00-noon Textbook:
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Linear Thermal Expansion The term thermal expansion refers to the increase in size of an object as that object is heated. With relatively few exceptions‚ all objects expand when they are heated and contract when they are cooled. Perhaps the most important exception to this rule is water. Water contracts as it cools from its boiling point to about 39.2°F (4°C). At that point‚ it begins to expand as it cools further to its freezing point. This unusual effect explains the fact that ice is less dense
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1302‚Garibyan Darya Linear and staff management Линейное и функциональное руководство Managers have different titles in various organizations. No matter what the label is‚ there is a difference in authority between line and staff management. There are two basic kinds of management positions: line and staff. Linear Management Staff Management 1.The most common of all formal relationships in organizations today is the supervisor-subordinate one. This line or operational supervisor‚
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SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1. x y 8 x y 2 by graphing by substitution by elimination by Cramer’s rule 2. 2 x 5 y 9 0 x 3y 1 0 by graphing by substitution by elimination by Cramer’s rule 3. 4 x 5 y 7 0 2 x 3 y 11 0 by graphing by substitution by elimination by Cramer’s rule CASE 1: intersecting lines independent & consistent m1m2 CASE 2: parallel lines
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Newton’s Laws‚ linear momentum‚ and kinetic energy. Principles In this experiment you will study a collision where a moving object strikes and sticks to an initially motionless object. When the colliding objects stick together the collision is said to be completely inelastic. The net momentum of the system should not change‚ but the net kinetic energy of the system will decrease. The amount of kinetic energy left after the collision can be predicted using conservation of momentum. Linear momentum
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dimensions of disability (Reeve‚ 2002). Also the concept of disability is not linear (Reeve‚ 2002). People can be disabled when completing one task yet not disabled when completing another (). For example a deaf student may be disabled when asked to listen to a cd and write down how it makes them feel but not if they are required to look at a picture and write down how that makes them feel. So treating disability as a linear dichotomy is to
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Activity 3.3Making Linear Measurements Purpose How thick is one of the hairs on your head? Could it be measured accurately with a standard inch scale? If the smallest increment on an inch scale is 1/16 inch‚ then 20 average size human hairs could fit within the space of a 1/16 inch gap. The required degree of accuracy needed is dependent on the application. If you were to build a home‚ a standard inch scale is perfect for laying out walls and locating window openings.A dial caliper is a precision
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