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A mixture of sucrose and water was heated on a hot plate,

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 16E Chapter 7.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

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.

Step-by-Step Solution:
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Chapter 7.2, Problem 16E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
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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