Problem 6
Wind Chill Problem: When the wind is blowing on a cold day, the temperature seems to be colder than it really is. For any given actual temperature with no wind, the equivalent temperature due to wind chill is a function of wind speed. Figure 8-4k and the table show data published by NOAA (the National Oceanographic and Atmospheric Administration) (see www.ncdc.gov/ol/climate/ conversion/windchillchart.html). a. Ignoring the data point at 0 mi/hr, run a logarithmic regression to find the bestfitting logarithmic function. Plot it and the data on the same screen. Sketch the result. b. At what wind speed does the logarithmic function predict that the equivalent temperature would be 0F? Do you find this number by extrapolation or by interpolation? Explain why an untranslated exponential function would predict that the equivalent temperature would never be zero. Explain why the logarithmic function does not have the correct endpoint behavior at the left end of the domain. c. Make a residual plot for the logarithmic function. Sketch the result. Do the residuals follow a pattern? What does this fact tell you about how well the logarithmic function fits the data? d. Check the NOAA Web site mentioned previously to find out the mathematical model NOAA actually uses to compute wind-chill-equivalent temperatures.

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Chapter 12: Short-Run Fluctuations 12.1 – Economic Fluctuations and Business Cycles Economics Fluctuations/Business Cycle – short-run changes in the growth of GDP. o Co Movement of many aggregate macroeconomic variables o Limited Predictability of Fluctuations. o Persistence in the Rate of Economic Growth. Economic Expansions – periods between...

The answer to “Wind Chill Problem: When the wind is blowing on a cold day, the temperature seems to be colder than it really is. For any given actual temperature with no wind, the equivalent temperature due to wind chill is a function of wind speed. Figure 8-4k and the table show data published by NOAA (the National Oceanographic and Atmospheric Administration) (see www.ncdc.gov/ol/climate/ conversion/windchillchart.html). a. Ignoring the data point at 0 mi/hr, run a logarithmic regression to find the bestfitting logarithmic function. Plot it and the data on the same screen. Sketch the result. b. At what wind speed does the logarithmic function predict that the equivalent temperature would be 0F? Do you find this number by extrapolation or by interpolation? Explain why an untranslated exponential function would predict that the equivalent temperature would never be zero. Explain why the logarithmic function does not have the correct endpoint behavior at the left end of the domain. c. Make a residual plot for the logarithmic function. Sketch the result. Do the residuals follow a pattern? What does this fact tell you about how well the logarithmic function fits the data? d. Check the NOAA Web site mentioned previously to find out the mathematical model NOAA actually uses to compute wind-chill-equivalent temperatures.” is broken down into a number of easy to follow steps, and 208 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. The full step-by-step solution to problem: 6 from chapter: 8-4 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Since the solution to 6 from 8-4 chapter was answered, more than 221 students have viewed the full step-by-step answer.