To calculate: The Summer Simmer Index S and the Apparent Temperature A for both the average daily maximum and the average daily minimum temperature. If the “feels like” temperature often reported in summer weather forecasts measures the combined effects of humidity and high temperatures. Two of the most common models used to determine this effect are the Summer Simmer Index (S) developed by John W. Pepi and the Apparent Temperature (A) developed by Robert Steadman. These models are given by
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- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardTemperatureThe 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?arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forward
- Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of Cooling would be applied.arrow_forwardRespiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.arrow_forward
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