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MATH 107 Linear Model Project (COLLEGE ALGEBRA), assignment help
DATA POINTS TO BE USED ARE ATTACHED.AN EXAMPLE PROJECT (TEMPLATE TO FOLLOW) IS ATTACHED.Instructions For this assignment, ...
MATH 107 Linear Model Project (COLLEGE ALGEBRA), assignment help
DATA POINTS TO BE USED ARE ATTACHED.AN EXAMPLE PROJECT (TEMPLATE TO FOLLOW) IS ATTACHED.Instructions For this assignment, collect data exhibiting a relatively linear trend, find the line of best fit, plot the data and the line, interpret the slope, and use the linear equation to make a prediction. Also, find r2 (coefficient of determination) and r (correlation coefficient). Discuss your findings. (LR-1) Describe your topic, provide your data, and cite your source. Collect at least 8 data points. Label appropriately. (LR-2) Plot the points (x, y) to obtain a scatterplot. Use an appropriate scale on the horizontal and vertical axes and be sure to label carefully. (LR-3) Find the line of best fit (regression line) and graph it on the scatterplot. State the equation of the line. (LR-4) State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two. (LR-5) Find and state the value of r2, the coefficient of determination, and r, the correlation coefficient. Discuss your findings in a few sentences. Is r positive or negative? Why? Is a line a good curve to fit to this data? Why or why not? Is the linear relationship very strong, moderately strong, weak, or nonexistent? (LR-6) Choose a value of interest and use the line of best fit to make an estimate or prediction. Show calculation work. (LR-7) Write a brief narrative of a paragraph or two. Summarize your findings and be sure to mention any aspect of the linear model project (topic, data, scatterplot, line, r, or estimate, etc.) that you found particularly important or interesting. You may submit all of your project in one document or a combination of documents, which may consist of word processing documents or spreadsheets or scanned handwritten work, provided it is clearly labeled where each task can be found. Projects are graded on the basis of completeness, correctness, ease in locating all of the checklist items, and strength of the narrative portions.
MAT 350 SNHU System of Linear Equations for The Network Project
Apply matrix theory to linear equations and transformations
Scenario
You are employed as a network engineer and have been ...
MAT 350 SNHU System of Linear Equations for The Network Project
Apply matrix theory to linear equations and transformations
Scenario
You are employed as a network engineer and have been asked to analyze a communication network to determine the current data rates and ensure that the links aren’t at risk of “reaching capacity.” In the following figure of the network, the sender is transmitting data at a total rate of 100+50 = 150 megabits per second (Mbps). The data is transmitted from the sender to the receiver over a network of five different routers. These routers are labeled A, B, C, D, and E. The connections and data rates between the routers are labeled as , , , , and .
Directions
In this project, you will analyze the communication network and solve for the unknown data rates using a variety of techniques. The system can be modeled mathematically as a system of linear equations by writing an equation for each node/router in the network. Each of these equations can be written by noting that the sum of inputs must equal the sum of outputs.
To complete the project, work on the problems described below. As you complete each part, show your work and carefully describe how you arrive at your final answer. The methods and conclusions need to be clear when sharing your results with management. Any MATLAB code or MATLAB terminal outputs you generate should be provided in your submitted document to support your answers and work.
Develop a system of linear equations for the network by writing an equation for each router (A, B, C, D, and E). Make sure to write your final answer as where is the coefficient matrix, is the vector of unknowns, and is a vector of constants.
Use MATLAB to construct the augmented matrix and then perform row reduction using the rref() function. Write out your reduced matrix and identify the free and basic variables of the system.
Use MATLAB to compute the LU decomposition of , i.e., find . For this decomposition, find the transformed set of equations . Solve the system of equations for the unknown vector .
Use MATLAB to compute the inverse of using the inv() function.
Compute the solution to the original system of equations by transforming into , i.e., compute .
Check your answer for using Cramer’s Rule.
Use MATLAB to compute the required determinants using the det() function. The Project One Table Template, provided in the Supporting Materials section, shows the recommended throughput capacity of each link in the network. Put your solution for the system of equations in the third column so it can be easily compared to the maximum capacity in the second column. In the fourth column of the table, provide recommendations for how the network should be modified based on your network throughput analysis findings. The modification options can be No Change, Remove Link, or Upgrade Link. In the final column, explain how you arrived at your recommendation.
7 pages
Acc 5 8
*5. 15 An investigator polls common cold sufferers, asking them to estimate the number of hours of physical discomfort cau ...
Acc 5 8
*5. 15 An investigator polls common cold sufferers, asking them to estimate the number of hours of physical discomfort caused by their most recent ...
PH 7017 GSU Week 7 Biostatistics SAS Statistical Significance & P Values Questions
Biostatistics homework involving SAS, parameters, statistical significance and p-values.
PH 7017 GSU Week 7 Biostatistics SAS Statistical Significance & P Values Questions
Biostatistics homework involving SAS, parameters, statistical significance and p-values.
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Most Popular Content
MATH 107 Linear Model Project (COLLEGE ALGEBRA), assignment help
DATA POINTS TO BE USED ARE ATTACHED.AN EXAMPLE PROJECT (TEMPLATE TO FOLLOW) IS ATTACHED.Instructions For this assignment, ...
MATH 107 Linear Model Project (COLLEGE ALGEBRA), assignment help
DATA POINTS TO BE USED ARE ATTACHED.AN EXAMPLE PROJECT (TEMPLATE TO FOLLOW) IS ATTACHED.Instructions For this assignment, collect data exhibiting a relatively linear trend, find the line of best fit, plot the data and the line, interpret the slope, and use the linear equation to make a prediction. Also, find r2 (coefficient of determination) and r (correlation coefficient). Discuss your findings. (LR-1) Describe your topic, provide your data, and cite your source. Collect at least 8 data points. Label appropriately. (LR-2) Plot the points (x, y) to obtain a scatterplot. Use an appropriate scale on the horizontal and vertical axes and be sure to label carefully. (LR-3) Find the line of best fit (regression line) and graph it on the scatterplot. State the equation of the line. (LR-4) State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two. (LR-5) Find and state the value of r2, the coefficient of determination, and r, the correlation coefficient. Discuss your findings in a few sentences. Is r positive or negative? Why? Is a line a good curve to fit to this data? Why or why not? Is the linear relationship very strong, moderately strong, weak, or nonexistent? (LR-6) Choose a value of interest and use the line of best fit to make an estimate or prediction. Show calculation work. (LR-7) Write a brief narrative of a paragraph or two. Summarize your findings and be sure to mention any aspect of the linear model project (topic, data, scatterplot, line, r, or estimate, etc.) that you found particularly important or interesting. You may submit all of your project in one document or a combination of documents, which may consist of word processing documents or spreadsheets or scanned handwritten work, provided it is clearly labeled where each task can be found. Projects are graded on the basis of completeness, correctness, ease in locating all of the checklist items, and strength of the narrative portions.
MAT 350 SNHU System of Linear Equations for The Network Project
Apply matrix theory to linear equations and transformations
Scenario
You are employed as a network engineer and have been ...
MAT 350 SNHU System of Linear Equations for The Network Project
Apply matrix theory to linear equations and transformations
Scenario
You are employed as a network engineer and have been asked to analyze a communication network to determine the current data rates and ensure that the links aren’t at risk of “reaching capacity.” In the following figure of the network, the sender is transmitting data at a total rate of 100+50 = 150 megabits per second (Mbps). The data is transmitted from the sender to the receiver over a network of five different routers. These routers are labeled A, B, C, D, and E. The connections and data rates between the routers are labeled as , , , , and .
Directions
In this project, you will analyze the communication network and solve for the unknown data rates using a variety of techniques. The system can be modeled mathematically as a system of linear equations by writing an equation for each node/router in the network. Each of these equations can be written by noting that the sum of inputs must equal the sum of outputs.
To complete the project, work on the problems described below. As you complete each part, show your work and carefully describe how you arrive at your final answer. The methods and conclusions need to be clear when sharing your results with management. Any MATLAB code or MATLAB terminal outputs you generate should be provided in your submitted document to support your answers and work.
Develop a system of linear equations for the network by writing an equation for each router (A, B, C, D, and E). Make sure to write your final answer as where is the coefficient matrix, is the vector of unknowns, and is a vector of constants.
Use MATLAB to construct the augmented matrix and then perform row reduction using the rref() function. Write out your reduced matrix and identify the free and basic variables of the system.
Use MATLAB to compute the LU decomposition of , i.e., find . For this decomposition, find the transformed set of equations . Solve the system of equations for the unknown vector .
Use MATLAB to compute the inverse of using the inv() function.
Compute the solution to the original system of equations by transforming into , i.e., compute .
Check your answer for using Cramer’s Rule.
Use MATLAB to compute the required determinants using the det() function. The Project One Table Template, provided in the Supporting Materials section, shows the recommended throughput capacity of each link in the network. Put your solution for the system of equations in the third column so it can be easily compared to the maximum capacity in the second column. In the fourth column of the table, provide recommendations for how the network should be modified based on your network throughput analysis findings. The modification options can be No Change, Remove Link, or Upgrade Link. In the final column, explain how you arrived at your recommendation.
7 pages
Acc 5 8
*5. 15 An investigator polls common cold sufferers, asking them to estimate the number of hours of physical discomfort cau ...
Acc 5 8
*5. 15 An investigator polls common cold sufferers, asking them to estimate the number of hours of physical discomfort caused by their most recent ...
PH 7017 GSU Week 7 Biostatistics SAS Statistical Significance & P Values Questions
Biostatistics homework involving SAS, parameters, statistical significance and p-values.
PH 7017 GSU Week 7 Biostatistics SAS Statistical Significance & P Values Questions
Biostatistics homework involving SAS, parameters, statistical significance and p-values.
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