Contents Introduction Some applications of forecasting Defining forecasting General steps in the forecasting process Qualitative techniques in forecasting Time series methods The Naive Methods Simple Moving Average Method Weighted Moving Average Exponential Smoothing Evaluating the forecast accuracy Trend Projections Linear Regression Analysis Least Squares Method for Linear Regression Decomposition of the time series Selecting A Suitable Forecasting Method More on Forecast Errors Review Exercise
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is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b. Task 1 The general formula to find area A is [pic] The general formula to find area B is [pic] Therefore‚ the ratio of Area A to Area B is- = [pic] ÷ [pic] = [pic] × [pic] = n : 1 n:1 is the general conjecture formed. The given function is in the form of y=xn. The function is y=x2. As mentioned above the parameters are between x=a
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following functions: Y = 2x² -- 11x – 4 y = - ½ (x – 3)² + 9 4. Determine the values of k for which the function f(x) = 4x² - 3x + 2kx + 1 has two zeros. 5. Determine the number of POI of the following linear – quadratic system‚ then solve the system. Y = 2x² + 4x – 11 Y = -6x + 8 6. The height‚ h(t)‚ of a baseball in metres‚ at time t seconds after it is tossed out of a window is modelled by the function h(t)
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an interesting concept. Essentially‚ it promises the ability for a machine to self-improve‚ resulting in what is commonly called a “runaway growth” of information‚ aka the “intelligence explosion”. Runaway growth is the idea of exponential growth compounded upon exponential growth. The way this would happen is through artificial intelligence (AI). There are futurists on both sides of the equation. On one hand‚ the optimists on this matter look to the possibility of a utopian society or at the very
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This is a function because is mainly a one to one relationship between football team and Quarter Back. However it wouldn’t be a function if the Quarter Backs were the Domain. It exist as a function because of the simple relationship 1 to 1 (x‚ y) or ( 1 ‚ a ). Reversing the fuction Is this Relationship a Function This diagram does not qualify as a function because Arrow’s coming from Joe Namath are more than one pick out of the range. Givin that a function from F (x)
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types of BGB’s forecasts of exponential smoothing for number of cases and total expenses in August 2012 for the six types of BGB’s All the data are calculated through Microsoft Excel and results were presented through forecasting
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height h Volume of right circular cone‚ height h Volume of sphere Volume of right pyramid‚ base area A‚ height h Question 1 [5 + 3 = 8 Marks] Consider the function (a) Find the derivative of the function‚ to the simplest form. (b) Hence‚ show that the graph of the function has no stationary points. Question 2 [4 + 2 = 6 Marks] Find the following‚ to the simplest form: (a) (b)
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this course is to enable personnel to perform their activities and ---------. Course Objective The objective of the course is to provide the course audience with the tools and knowledge to use the screens‚ transactions‚ query and reporting functions to perform their activities. The majority of the time in the course will be spent learning the module functionality. Course Performance Objective At the end of this course‚ you will have been provided with an overview of the major functionality
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[pic]= (c) 8[pic]+[pic] = (d) 1[pic] = (e) 4[pic] = 5. Find expressions for the following algebraic functions‚ simplify the answers as far as possible. a) [pic] = b) [pic] = (c) [pic] = (d) [pic] = 6. Factor completely: x2 + 3xy – 154y2 = 7. Factor out the greatest common factor: 36x9y9 – 27x7y7 + 90x4y3 8. Simplify the complex function. a). [pic] = b). [pic] c) [pic]= d) [pic]= 9. A manufacturer’s cost is given by C = 400 [pic] + 200‚ where C is
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ASSIGNMENT (2015-16) 1. During a socio-economic survey conducted in a rural area‚ the concerned authorities came to the conclusion that mean level of income in the area was Rs 150 per month with a standard deviation of Rs 20 and that income is approximately normally distributed. The total population of the area was 4000. Compute the number of people who fell into the following categories: (i) monthly income less than Rs 50 (ii) monthly income greater than Rs 100 but less than or equal to
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