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Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 8-4 - Problem 2
Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 8-4 - Problem 2

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# Hot Water Problem: Tim put some water in a saucepan and then turned the heat on high

ISBN: 9781559533911 468

## Solution for problem 2 Chapter 8-4

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 2

Hot Water Problem: Tim put some water in a saucepan and then turned the heat on high. Figure 8-4g and the table show the temperature of the water in degrees Celsius at various times in seconds since he turned on the heat. 49 35 62 40 76 45 89 50 103 55 117 60 131 65 145 70 161 75 176 80 190 85 205 90 Figure 8-4g a. Run a linear regression on temperature as a function of time. Record the correlation coefficient. Plot the regression equation and a scatter plot of the data on the same screen. Does the fit of the line to the data confirm the fact that the correlation coefficient is so close to 1? b. Make a residual plot. Sketch the result. How does the residual plot tell you that there is something in the heating of the water that the linear function does not take into account? What real-world reason do you suppose causes this slight nonlinearity? c. Based on the linear model, at what time would you expect the water to reach 100C and boil? Based on your observations in part b, would you expect the water to boil sooner than this or later than this? Explain.

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