Given the information in the following table, approximate these values with a linear, quadratic and cubic function by means of the least squares method. Given the information in the following table, approximate these values with a linear, quadraticand cubic function by means of the least squares method.X0.35231.23301.5512Y-1.210.2341.471.6

The following data for the X and Y variables are provided to construct linear regression model: X…

Answered: Given the information in the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.
A company that conducts bus tours found that when the price was $9.00 per person, theaverage number of customers was 1000 per week. When the company reduced the price to $7.00per person, the average number of customers increased to 1500 per week. Assuming that thedemand function is linear, what price should be charged to obtain the greatest weekly revenue?Revenue is price times number sold. Also find this maximum revenue.
The marching band at a local high school is selling candy bars. The profits will go toward the purchase of new marching band uniforms. They are interested in knowing what price they should charge to obtain the maximum profit. The candy bars are donated by a local retailer so they know that if they charge $0 they will make $0 profit. They also collect data from other marching bands who have sold candy bars in the past. The data they collected is shown in the table below. Price 0.00 0.45 0.60 0.75 1.00 1.25 1.40 1.50 Profit 0.00 $720 $900 $990 $845 $625 $560 $300 What factors might influence how much is to be made from the candy sale? Give at least two. What happens to the profit as the price of each candy bar increases? Explain possible reasons for your observations. How do you suppose the other bands determined the price at which to sell each candy bar? Do any data values seem unusual? Yes or…
The purpose of this analysis is to model available atmospheric carbon dioxide data with a quadratic function of the form f(x) = ax2 + bx + x. In the space below, type the model quadratic function for the relationship between year and mean carbon dioxide levels in standard mathematical form using the coefficients calculated on the spreadsheet. Using the model equation, determine the mean atmospheric carbon dioxide levels in the year 2030. Using the model equation, determine the mean atmospheric carbon dioxide levels in the year 2050. What other factors might need to be taken into account to provide a more robust model to make predictions regarding future atmospheric carbon dioxide levels?

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Given the information in the following table, approximate these values with a linear, quadratic and cubic function by means of the least squares method. X 0.3523 1.2330 1.551 2 Y -1.21 0.234 1.47 1.6