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# A mixture of sucrose and water was heated on a hot plate, ISBN: 9780073401331 38

## Solution for problem 16E Chapter 7.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 16E

A mixture of sucrose and water was heated on a hot plate, and the temperature (in °C) was recorded each minute for 20 minutes by three thermocouples. The results are shown in the following table.

 Time T1 T2 T3 0 20 18 21 1 18 22 11 2 29 22 26 3 32 25 35 4 37 37 33 5 36 46 35 6 46 45 44 7 46 44 43 8 56 54 63 9 58 64 68 10 64 69 62 11 72 65 65 12 79 80 80 13 84 74 75 14 82 87 78 15 87 93 88 16 98 90 91 17 103 100 103 18 101 98 109 19 103 103 107 20 102 103 104

a. Compute the least-squares line for estimating the temperature as a function of time, using T1, as the value for temperature.

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##### ISBN: 9780073401331

The answer to “A mixture of sucrose and water was heated on a hot plate, and the temperature (in °C) was recorded each minute for 20 minutes by three thermocouples. The results are shown in the following table.TimeT1T2T30201821118221122922263322535437373353646356464544746444385654639586468106469621172656512798080138474751482877815879388169890911710310010318101981091910310310720102103104a. Compute the least-squares line for estimating the temperature as a function of time, using T1, as the value for temperature.________________b. Compute the least-squares line for estimating the temperature as a function of time, using T2 as the value for temperature.________________c. Compute the least-squares line for estimating the temperature as a function of time, using T3 as the value for temperature.________________d. It is desired to compute a single line to estimate temperature as a function of time. One person suggests averaging the three slope estimates to obtain a single slope estimate, and averaging the three intercept estimates to obtain a single intercept estimate. Find the equation of the line that results from this method.________________e. Someone else suggests averaging the three temperature measurements at each time to obtain = (T1+ T2 + T3)/3. Compute the least-squares line using as the value for temperature.________________f. Are the results of parts (d) and (e) different?” is broken down into a number of easy to follow steps, and 185 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 16E from chapter: 7.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: temperature, line, compute, squares, least. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 16E from 7.2 chapter was answered, more than 266 students have viewed the full step-by-step answer.

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