Answered: Model building and linearizing Why are…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

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Similar questions

Does the following table represent a linear function ? If so, find the linear equation that models the data.
The U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
TemperatureThe table lists the average monthly temperatures in Vancouver, Canada. Source: Weather.com. Month Jan Feb Mar Apr May June Temperature 37 41 43 48 54 59 Month July Aug Sep Oct Nov Dec Temperature 63 63 58 50 43 38 These average temperatures cycle yearly and change onlyslightly over many years. Because of the repetitive nature oftemperatures from year to year, they can be modeled with asine function. Some graphing calculators have a sine regression feature, if the table is entered into a calculator, the points canbe plotted automatically, as shown in the early chapters of thisbook with other types of functions. Use graphing calculator to plot the ordered pairs month, temperature in the interval [0,12] by [30,70]. Use a graphing calculator with a sine regression feature tofind an equation of the sine function that models these data. Graph the equation from part b. Calculate the period for the function found in part b. Is thisperiod reasonable?

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Model building and linearizing Why are Log-Log plots and Semi- Logs plots useful for distinguishing power law from exponential?