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(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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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.

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