a) Write a code Using linear regression and the data below, determine the relationship between pumping rate and H at the nearby well. b) Write a code based on the relationship you found in a), what pumping rate would produce an H value of 224 ft? Pumping Rate (gal/day) 152 602 1052 1502 1952 Hydraulic Head (feet) 390.40 372.50 316.41 266.42 213.47 160.51

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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**Least Squares Regression**

1. A well pump is run at a series of different pumping rates to test aquifer response. Each pumping rate produces a different water level in a nearby monitoring well.

   In MATLAB:

   a) Write a code using linear regression and the data below to determine the relationship between pumping rate and H (hydraulic head) at the nearby well.

   b) Write a code based on the relationship you found in a) to determine what pumping rate would produce an H value of 224 ft.

   **Data:**

   | Pumping Rate (gal/day) | 0    | 152  | 602  | 1052 | 1502 | 1952 |
   |------------------------|------|------|------|------|------|------|
   | Hydraulic Head (feet)  | 390.40 | 372.50 | 316.41 | 266.42 | 213.47 | 160.51 |
   
**Explanation:**

The table provides data on the pumping rate in gallons per day and the corresponding hydraulic head in feet. The goal is to use this data to perform a linear regression analysis, which will help in establishing a mathematical relationship between the pumping rate and the hydraulic head. This relationship can then be used to predict unknown values, like determining the pumping rate needed to achieve a specific hydraulic head of 224 feet.
Transcribed Image Text:**Least Squares Regression** 1. A well pump is run at a series of different pumping rates to test aquifer response. Each pumping rate produces a different water level in a nearby monitoring well. In MATLAB: a) Write a code using linear regression and the data below to determine the relationship between pumping rate and H (hydraulic head) at the nearby well. b) Write a code based on the relationship you found in a) to determine what pumping rate would produce an H value of 224 ft. **Data:** | Pumping Rate (gal/day) | 0 | 152 | 602 | 1052 | 1502 | 1952 | |------------------------|------|------|------|------|------|------| | Hydraulic Head (feet) | 390.40 | 372.50 | 316.41 | 266.42 | 213.47 | 160.51 | **Explanation:** The table provides data on the pumping rate in gallons per day and the corresponding hydraulic head in feet. The goal is to use this data to perform a linear regression analysis, which will help in establishing a mathematical relationship between the pumping rate and the hydraulic head. This relationship can then be used to predict unknown values, like determining the pumping rate needed to achieve a specific hydraulic head of 224 feet.
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