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 a decade during 1990 to 1999 and you have listed the data in Table 5. Table 5. Shows the list of the amount that have earned on exports 6| 7| 8 Year No. 1| 2 | 3 | 4 10 Exports 4954 6131 | 6904| 6813 6803 8137| 8707 8320 8628 7779 (a) Construct a suitable graph that explains the relationship between the number of years and the corresponding exports. By inspection of the graph comment on the relationships between the number of vears and the corresponding exports. (b) Construct a mathematical (Statistical) model by using least square method between number of years and the corresponding sales. Also interpret the slope of the linear model to support your comment. (c) Forecast the value of sales by using the linear model for the year of 2000.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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,$) of a country. The
constructed model may use to forecasts the future values. You have obtained the relevant data for
a decade during 1990 to 1999 and you have listed the data in Table 5.
Table 5. Shows the list of the amount that have earned on exports
6| 7| 8
Year No. 1| 2 | 3 | 4
10
Exports 4954 6131 | 6904| 6813 6803 8137| 8707 8320 8628 7779
(a) Construct a suitable graph that explains the relationship between the number of years and the
corresponding exports. By inspection of the graph comment on the relationships between the
number of vears and the corresponding exports.
(b) Construct a mathematical (Statistical) model by using least square method between number
of years and the corresponding sales. Also interpret the slope of the linear model to support your
comment.
(c) Forecast the value of sales by using the linear model for the year of 2000.
Transcribed Image Text:Suppose that you are a researcher and wish to construct a linear mathematical (statistical) model that relates the number of years and the corresponding exports (million U.S,$) of a country. The constructed model may use to forecasts the future values. You have obtained the relevant data for a decade during 1990 to 1999 and you have listed the data in Table 5. Table 5. Shows the list of the amount that have earned on exports 6| 7| 8 Year No. 1| 2 | 3 | 4 10 Exports 4954 6131 | 6904| 6813 6803 8137| 8707 8320 8628 7779 (a) Construct a suitable graph that explains the relationship between the number of years and the corresponding exports. By inspection of the graph comment on the relationships between the number of vears and the corresponding exports. (b) Construct a mathematical (Statistical) model by using least square method between number of years and the corresponding sales. Also interpret the slope of the linear model to support your comment. (c) Forecast the value of sales by using the linear model for the year of 2000.
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