The income of a small business for several years is given in the table below.Thousands ofDollarsYear200017.4200159.871.27120022003200463.260.277.6200520062007115.4a) Perform regression to find a cubic polynomial that fits the data. Use years since 2000 as your inputs x.p(x) =Round all values to 4 decimal places.b) Use the model to predict the income of the business in 2010.thousand dollarsRound to 2 decimal places.c) Use the model to predict when the business income will reach $1,000,000.Round to the nearest whole year.

The data of income of a small business is given as follows: Years Thousands of Dollars 2000…

Answered: The income of a small business for…

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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Use exponential regression to extrapolate the value of y when x = 6. Round your answer to the nearest whole number. X y ¹2 77 -1 65 0 56 1 47 2 40 3 34 (Record your answer in the numerical response box from left to right.)
An aerabk exercise instructor remembars the data givan in the follawing table, which shows the recommanded maximum exercise haart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate 172 155 138 (y bente per minute) (a) Find the lincar corelation coefficient for the deta. (Rcund your answer to two decimal places.) (b) What is the signiticance of the value found in part (a)? O The slope of the regression is about half of what the expected value is. O The graph of the regression points passes through nene of the data points. * The graph of the regression points passes through all three data peints. O One of the data points is the y-intercept. O The linear correlation cooficient should always be positive. (c) Find the equetion of the leest-squeres regression line. (Round your answers to two decimal pleces.) (d) Use the equation of the least-squares line from part (c] te predict the maximum cxercise heart rate fer a…
A manager believes that sales (S) (in $) is a function of the amount of work (H) and commission paid (C). Given data for both variables, the manager ran a regression analysis with the output shown here. Coefficients t Stat P-value Intercept 100 1.80 0.1008 Work Hours -2.20 0.01 Commission 2.66 0.04 Write down the regression model/ equation between the dependent and independent variables, and find the amount of sales for H=2 and c=5 I X2 x2 三三三 of 1.
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Perform Linear Regression Analysis by Octave (or MatLab) software using formulas for calculation of required parameters. Make the graph y versus x values and ytted VS. X on the same plot. x Answers: 0.05 0.04 35.7210 23.3960 7 0.03 13.3970 X S 0.02 6.0310 0.01 1.5190 0 0.0000
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The table below shows the value, V, of an investment (in dollars) n years after 1992. 1 3 7 4120 4283 4919 12 14 5874 6050 n V(n) 6663 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to the nearest whole number, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) Based on the your regression model, what is the percent increase per year? The value of this investment is increasing at a rate of % per year. Based the your regression model, what is value of this investment in the year 1992? Round your answer to the nearest dollar. The value of this investment is $ in the year 1992. Based on the your regression model, what is value of this investment in the year 2002? Round your answer to the nearest dollar. The value of this investment is S in the year 2002.
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