❶AGE PROBLEM In three more years‚ Miguel’s grandfather will be six times as old as Miguel was last year. When Miguel’s present age is added to his grandfather’s present age‚ the total is68. How old is each one now? This exercise refers not only to their present ages‚ but also to both their ages last year and their ages in three years‚ so labelling will be very important. I will label Miguel’s present age as "m" and his grandfather’s present age as "g". Then m + g = 68. Miguel’s age "last year"
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Linear Regression & Best Line Analysis Linear regression is used to make predictions about a single value. Linear regression involves discovering the equation for a line that most nearly fits the given data. That linear equation is then used to predict values for the data. A popular method of using the Linear Regression is to construct Linear Regression Channel lines. Developed by Gilbert Raff‚ the channel is constructed by plotting two parallel‚ middle lines above and below a Linear Regression
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1. Calculate real GDP for 2004 and 2005 using 2004 prices. To calculate the real GDP we use the constant price for 2004 which was $20. Real GDP (base year 2004) 2004 ($20 per CD x 100 CD’s) + ($110 per racquet x 200 racquets) = 24000 2005 ($20 per CD x 120 CD’s) + ($110 per racquet x 210 racquets) = 25500 By what percentage did real GDP grow? Because the Real GDP was $24000 in 2004 and $25500 in 2005‚ real GDP grew by ($25500 - $24000) / $24000 = 0.0625 or 6.25% 2. Calculate the
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Jasmine Chai Grade 10 196298501 Patterns within systems of linear equations Systems of linear equations are a collection of linear equations that are related by having one solution‚ no solution or many solutions. A solution is the point of intersection between the two or more lines that are described by the linear equation. Consider the following equations: x + 2y = 3 and 2x – y = -4. These equations are an example of a 2x2 system due to the two unknown variables (x and y) it has. In one of
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and relations‚ and mathematical logic studies recursive functions. 1.2 Objectives of the Report Understanding the concept of functions. To familiar with the various types of functions. Understanding linear function and its characteristics. Sketch the graph of linear function. Apply linear functions in solving business problems. 1.3 Methodology The study is application based in nature. Data used in this study are collected basically from the secondary sources. Secondary Sources: Text
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I. Objectives: • To verify Newton’s Second Law of Motion with the use of state-of-the-art devices II. Materials and Equipment: • 2.2 m Track- 1 pc • Plunger Cart- 1pc • Super pulley with clamp – 1pc • .500gram mass- 1pc • Stopwatch1- 1pc • Block ( to act as bumper)- 1pc • Beam Balance- 1 unit • String – 2m long • Set of Weights-1 set III. Data and Results Cart Mass Hanging Mass Trial1 Trial2 Trial3 Trial4 Trial5 Average Time 512g 13g 2.16s 2.15s 2.06s 2.0s 2.1s 2.09s 1016.5 27g
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Forum #2: Linear Equations in Real Life Pick one of the following problems. Show how you would solve it using a system of linear equations. 1) John spent $201 shirts and pants for work. Shirts cost $27 and pants cost $22. If he bought a total of 8 articles of clothing‚ then how many of each kind did he buy? 2) A school dance has 228 students. There are 63 fewer girls than twice as many boys. How many boys and girls attended the dance? 3) There are 15 animals in the barn. Some are ducks and some
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INTRODUCTION My topic is oil refinering using linear programming‚ this is under petrochemical industries which mean it will deal more about chemicals‚ this is about optimising the cost using a modelling method in mathematics called linear programming. This is very important because it links what is done in petrochemical industries with mathematics. Since there is a huge need of the products that are produced after petroleum refinering which are petrol‚ gasoline‚ oil‚ diesel and etc so in the
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LINEAR REGRESSION MODELS W4315 HOMEWORK 2 ANSWERS February 15‚ 2010 Instructor: Frank Wood 1. (20 points) In the file ”problem1.txt”(accessible on professor’s website)‚ there are 500 pairs of data‚ where the first column is X and the second column is Y. The regression model is Y = β0 + β1 X + a. Draw 20 pairs of data randomly from this population of size 500. Use MATLAB to run a regression model specified as above and keep record of the estimations of both β0 and β1 . Do this 200 times. Thus you
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STATISTICS FOR MGT DECISIONS FINAL EXAMINATION Forecasting – Simple Linear Regression Applications Interpretation and Use of Computer Output (Results) NAME SECTION A – REGRESSION ANALYSIS AND FORECASTING 1) The management of an international hotel chain is in the process of evaluating the possible sites for a new unit on a beach resort. As part of the analysis‚ the management is interested in evaluating the relationship between the distance of a hotel from the beach and the hotel’s
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