Introduction to Linear Regression and Correlation Analysis Goals After this‚ you should be able to: • • • • • Calculate and interpret the simple correlation between two variables Determine whether the correlation is significant Calculate and interpret the simple linear regression equation for a set of data Understand the assumptions behind regression analysis Determine whether a regression model is significant Goals (continued) After this‚ you should be able to: • Calculate and
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Absolute values In an absolute value‚ everything with it is counted as a positive. ∣-a∣ = --a= a ∣a∣ =a In an equation‚ absolute values have two possibilities when talking about equations ∣a+b∣ =x = a+b=x = a+b= -x e.g. Solve ∣x-4∣=8 x-4=8 OR x-4= -8 x=12 x=-4 Sub both answer into the equation ∣12-4∣ =8 OR ∣-4-4∣ =8 8=8 8=8 Both solution re true so x=12 or x=-4 Absolute inequalities (method 1) If ∣a+b∣ ≤x∣a+b∣
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EXPERIMENT : - 2 EXPERIMENT Verification of Bernoulli’s Energy Equation THEORY For steady incompressible flow Bernoulli’s energy equation along a streamline is written as [pic] constant where [pic] = pressure‚ [pic] = velocity and [pic] = height from datum Purpose of this experiment is to verify this expression. In the special apparatus the pipe is tapered with the cross section decreasing in the direction of flow first and then
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Ferguson Deliverable #1 Metaphor on Transactional Model 8-24-2010 The Transactional Model of Communication: An Equation The transactional model of communication is an infinitely long‚ incredibly complex ‘web’ of perceptions‚ actions‚ predictions‚ and reactions that perpetuate/transfer among people. The transactional model of communication can be compared to a simple but extensive equation. To avoid the subjectivity about numbers and their representation of quantities and physical properties in math
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in Hartee for each molecule was also obtained. The molecules used were Iodine (I2)‚ Carbon Monoxide (CO)‚ Cyanide ion (CN-)‚ Acetonitrile (CH3CN) and Benzene (C6H6). The energy equations used previously allows one to solve the Schrodinger equation for molecular energies. The Hamiltonian operator in the energy equation‚ containing the electron correlation is more complicated and cannot be solved. The electron correlation is the interaction of electrons with other electrons. There are several model
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Partial degradation of glucose Uses no O2 Yields some ATP Cellular respiration Complete degradation to CO2 and H2O Requires O2 = aerobic Yields much more ATP 2. Describe the summary equation for cellular respiration. Also note the specific chemical equation for the degradation of glucose. Organic compounds + O2 è CO2 + H2O + energy C6H12O6 + 6O2 è 6CO2 + 6H2O + energy (ΔG = -686 kcal/mol) Redox reactions: Oxidation and Reduction
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Determine Value of R Lab 3 Report must be typed and submitted to Turn it in by Wednesday Sept 24th 11:59pm. Title +1 Purpose +1 Procedure +2 Data Table +4x Balanced Chemical Equation +2 Calculations Calculate R for each trial and then average. +5 Calculate % error +2 Type and Answer Discussion Questions +8 Additional Questions for Calculating the R Lab 1. One mole of hydrogen gas has a mass of 2.02 g. Use your value of molar volume to calculate the mass of one Liter of
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Graphical and Simplex Methods of Linear Programming The graphical method is the more popular method to use because they are easy to use and understand. Working with only a few variables at a time they allow operations managers to compare projected demand to existing capacity. The graphical method is a trial and error approach that can be easily done by a manager or even a clerical staff. Since it is trial and error though‚ it does not necessarily generate the optimal plan. One downside of this
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2 First-Order Differential Equations Exercises 2.1 1. y 2. y y x t x t 3. y 4. y y x x t 5. y 6. y x x 7. y 8. y x x 17 Exercises 2.1 9. y 10. y x x 11. y 12. y x x 13. y 14. y x x 15. Writing the differential equation in the form dy/dx = y(1 − y)(1 + y) we see that critical points are located at y = −1‚ y = 0‚ and y = 1. The phase portrait is shown below. -1
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TECHNICAL PAPER A Practical Equation for Elastic Modulus of Concrete by Takafumi Noguchi‚ Fuminori Tomosawa‚ Kamran M. Nemati‚ Bernardino M. Chiaia‚ and Alessandro P. Fantilli Many empirical equations for predicting the modulus of elasticity as a function of compressive strength can be found in the current literature. They are obtained from experiments performed on a restricted number of concrete specimens subjected to uniaxial compression. Thus‚ the existing equations cannot cover the entire experimental
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