The following data represent the temperature T

Chapter 4, Problem 111

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The following data represent the temperature T (Fahrenheit) in Kansas City, Missouri, x hours after midnight on May 15, 2010. Hours after Midnight, x Temperature (F), T 3 6 9 12 15 18 21 24 45.0 44.1 51.1 57.9 63.0 63.0 59.0 54.0 Source: The Weather Underground (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables. (b) Find the average rate of change in temperature from 9 am to 12 noon. (c) What is the average rate of change in temperature from 3 pm to 6 pm? (d) Decide on a function of best fit to these data (linear, quadratic, or cubic) and use this function to predict the temperature at 5 pm. (e) With a graphing utility, draw a scatter diagram of the data and then graph the function of best fit on the scatter diagram. (f) Interpret the y-intercept.

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