Suppose that you are a researcher and wish to construct a linear mathematical (statistical) model that relates the number of years and the corresponding exports (million U.S.$) of a country. The constructed model may use to forecasts the future values. You have obtained the relevant data for the during of 1990 to 1995 and you have listed the data in Table 5. Table 5. Shows the list of the amount that have earned on exports Year No. 1 2 3 4 5 6 Exports 4954 6131 6904 6813 6803 8137 (a) Construct a suitable graph that explains the relationship between the number of years and the corresponding exports. (b) Construct a mathematical (Statistical) model by using least square method between number of years and the corresponding sales. (c) Interpret the slope of the estimated linear model (d) Forecast the value of exports by using the estimated linear model for the year of 2000
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Suppose that you are a researcher and wish to construct a linear mathematical (statistical) model that relates the number of years and the corresponding exports (million U.S.$) of a country. The constructed model may use to forecasts the future values. You have obtained the relevant data for the during of 1990 to 1995 and you have listed the data in Table 5.
Table 5. Shows the list of the amount that have earned on exports
|
Year No. |
1 |
2 |
3 |
4 |
5 |
6 |
|
Exports |
4954 |
6131 |
6904 |
6813 |
6803 |
8137 |
(a) Construct a suitable graph that explains the relationship between the number of years and the corresponding exports.
(b) Construct a mathematical (Statistical) model by using least square method between number of years and the corresponding sales.
(c) Interpret the slope of the estimated linear model
(d) Forecast the value of exports by using the estimated linear model for the year of 2000
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