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You are looking at commodities of unobtainium, the incredibly rare material that is priceless and mined on the planet Pandora (what's that reference?!?!). You write up a table: Weight, in oz, of unobtainium 2 4 5 8 Price, in billions of dollars 1 3 5 12 The executive that hired you wants you to find a quadratic function y = a+ bx + cz² where r would be the weight and y would be the price, that fits the data fairly well. That is, find the least squares solution to fit a quadratic to the data (solve the least squares for a, b, and c), so that the executive can predict prices for other values of weight. Your solution needs to include the following: (a) Set up a matrix Ax = b that models this problem. %3D (b) Use technology to fit the data to a quadratic curve. prefer excel, and use the least square matrix method correct to three decimal places. but other methods work as well. Answers must be (c) Write about the method you used.

You are looking at commodities of unobtainium, the incredibly rare material that is priceless and mined on the planet Pandora (what's that reference?!?!). You write up a table: Weight, in oz, of unobtainium 2 4 5 8 Price, in billions of dollars 1 3 5 12 The executive that hired you wants you to find a quadratic function y = a+ bx + cz² where r would be the weight and y would be the price, that fits the data fairly well. That is, find the least squares solution to fit a quadratic to the data (solve the least squares for a, b, and c), so that the executive can predict prices for other values of weight. Your solution needs to include the following: (a) Set up a matrix Ax = b that models this problem. %3D (b) Use technology to fit the data to a quadratic curve. prefer excel, and use the least square matrix method correct to three decimal places. but other methods work as well. Answers must be (c) Write about the method you used.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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1. You are looking at commodities of unobtainium, the incredibly rare material that is priceless and mined on the planet Pandora (what's that reference?!?!). You write up a table: Weight, in oz, of unobtainium 2 4 5 8 Price, in billions of dollars 1 3 5 12 The executive that hired you wants you to find a quadratic function y = a+ bx + cr² where z would be the weight and y would be the price, that fits the data fairly well. That is, find the least squares solution to fit a quadratic to the data (solve the least squares for a, b, and c), so that the executive can predict prices for other values of weight. Your solution needs to include the following: (a) Set up a matrix Ax = b that models this problem. (b) Use technology to fit the data to a quadratic curve. prefer excel, and use the least but other methods work as well. Answers must be square matrix method correct to three decimal places. (c) Write about the method you used.
Transcribed Image Text:1. You are looking at commodities of unobtainium, the incredibly rare material that is priceless and mined on the planet Pandora (what's that reference?!?!). You write up a table: Weight, in oz, of unobtainium 2 4 5 8 Price, in billions of dollars 1 3 5 12 The executive that hired you wants you to find a quadratic function y = a+ bx + cr² where z would be the weight and y would be the price, that fits the data fairly well. That is, find the least squares solution to fit a quadratic to the data (solve the least squares for a, b, and c), so that the executive can predict prices for other values of weight. Your solution needs to include the following: (a) Set up a matrix Ax = b that models this problem. (b) Use technology to fit the data to a quadratic curve. prefer excel, and use the least but other methods work as well. Answers must be square matrix method correct to three decimal places. (c) Write about the method you used.
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