Let x be the number of units (in thousands) that a company produces and let p(x) be the profit (in tens of thousands of dollars). The following tablegives the profit for different levels of production.x2 4 6 8 10 12 14 16 18 20p(x) 8.6 17.925.332.6 40.1 48.8 60.3 80.884.3 101.3Use the quadratic regression program to find a mathematical model for p(x).P(x)=

The number of observations is n = 10. The quadratic of best fit is y = ax^2 + bx + c. a =…

Answered: Let x be the number of units (in…

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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The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!
The equation of the least-squares regression line is ý = 68.5 + 11.4x, where ý is the number of students enrolled and x is number of years the school has been The number of students enrolled at a school varies from year to year. For the first eight years the school is open, the number of students enrolled is recorded in the table shown. open. Which shows the residual plot? Students 92 Year 2. 94 100 104 80 4 60 113 131 40 7. 8. 147 176 20 -20 0. 2. 4. 8. Number of Years 3. 56
Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). X y 3 35.01 4 37.78 5 37.35 6 36.72 7 40.09 8 40.36 9 40.83 10 41.3 11 40.57 12 42.64 13 44.21 14 42.58 15 46.05 16 45.12 The equation is ĝ ŷ = X + Interpret the slope O For each additional 33.75 years, the annual high temperature will increase by 1 degree on average. O For each additional year, the annual high temperature will increase by 33.75 degrees on average. For each additional year, the annual high temperature will increase by 0.74 degrees on average. O For each additional 0.74 years, the annual high temperature will increase by 1 degree on average. Interpret the y-intercept O In 2000, the temperature was about 33.75. O In 2003, the temperature was about 33.75. O In 2003, the temperature was about…
et X be the independent variable, Y the dependent variable and a be the coefficient of X in a simple linear regression. Which of the following statements is false a. If X=demand for a good, Y=its price, then a will be negative b. If X=strength of a hurricane, Y=damage from the hurricane in dollars, then a will be positive c. If X=number of hours studied, Y=score on final exam out of 100 points, then a will be positive d. If X= weight of an automobile, Y=its gas mileage, then a will be negative
Let x be the number of units (in thousands) that a company produces and let p(x) be the profit (in tens of thousands of dollars). The following table gives the profit for different levels of production. x 5 7 9 11 13 15 17 19 21 23 p(x) 7.9 14.9 20.1 27.8 39.4 48.2 60.2 64.2 77.9 103.9 Use the quadratic regression program to find a mathematical model for p(x).
The following table shows worldwide sales and projected sales of a certain type of phone and their average selling prices in 2020, 2022, and 2024. Year 2020 2022 2024 Selling Price ($100) p 6 5 4.5 Sales (billions) q 1 1.2 1.3 Find the regression line. 9(p) = Use the regression line to estimate the demand (in millions of units sold) when the selling price was $250. X million 1.6 Need Help? Read It Master It
Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x y 4 36.68 5 35.85 6 35.52 7 35.99 8 38.46 9 38.93 10 38 11 38.07 12 39.54 13 40.11 14 41.58 The equation is y^ = x + Interpret the slope For each additional 33.38 years, the annual high temperature will increase by 1 degree on average. For each additional 0.52 years, the annual high temperature will increase by 1 degree on average. For each additional year, the annual high temperature will increase by 0.52 degrees on average. For each additional year, the annual high temperature will increase by 33.38 degrees on average. Interpret the y-intercept In 2000, the temperature was about 33.38. It does not make sense to interpret the intercept in this scenario. In 2004, the…
Use the cost model screenshot attached to answer the question. Thanks for the help. What is k? Round to the nearest integer.
5. 50 29 47 33 1 46 28 42 20 3 58 21 1 42 22 The multiple linear regression equation of the table is shown below: ý = - 6.99 + 0.17x1 + 0.03r2 Use the equation to predict the value of y at ¤1 = 44.5 and x2 = 24.3 (Round to 2 decimal places)

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