(a) The following table lists the total water usage in South Africa in billions of liters per day. Year 2000 2005 2010 2015 2020 Water use 110.2 137.4 202.6 322.7 411.1 (i) Find the least squares exponential of the water consumption on time. (ii) Use the results of part (i) to predict the water consumtion in 2025 and 2030.
(a) The following table lists the total water usage in South Africa in billions of liters per day. Year 2000 2005 2010 2015 2020 Water use 110.2 137.4 202.6 322.7 411.1 (i) Find the least squares exponential of the water consumption on time. (ii) Use the results of part (i) to predict the water consumtion in 2025 and 2030.
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
Transcribed Image Text:Question 3
(a) The following table lists the total water usage in South Africa in billions
of liters per day.
Year
Water use
2000 2005 2010 2015 2020
110.2 137.4 202.6 322.7 411.1
(i) Find the least squares exponential of the water consumption on time.
(ii) Use the results of part (i) to predict the water consumtion in 2025
and 2030.
(a) Consider the following data table
x
f (x)
0
5 54 99
1 2 3
181
(i) Derive the normal equations for fitting the trigometric curve p(x) =
ao + a₁ cos x + b₁ sin x.
(ii) Find the coefficints ao, a1, and bithat best fit the data in the
squares sense.
Expert Solution

Step 1
Data for water use according to years are given.
Least square exponential equation=?
Prediction of water consumption in 2025 and in 2030 =?
According to guidelines,
Only first question can be solved ,
Kindly repost next question by mentioning.
Step by step
Solved in 3 steps with 2 images
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