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Category > Business & Finance Posted 09 May 2017 My Price 5.00

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

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.

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 T =

(T1 + T2 + T3)/3. Compute the least-squares line using T as the value for temperature. f. Are the results of parts (d) and (e) different?

 

Answers

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Status NEW Posted 09 May 2017 10:05 AM My Price 5.00

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file 1494326882-Answer.docx preview (382 words )
A----------- mi-----------xtu-----------re -----------of -----------suc-----------ros-----------e a-----------nd -----------wat-----------er -----------was----------- he-----------ate-----------d o-----------n a----------- ho-----------t p-----------lat-----------e, -----------and----------- th-----------e t-----------emp-----------era-----------tur-----------e (-----------in -----------°C-----------) w-----------as -----------rec-----------ord-----------ed -----------eac-----------h m-----------inu-----------te -----------for----------- 20----------- mi-----------nut-----------es -----------by -----------thr-----------ee -----------the-----------rmo-----------cou-----------ple-----------s. -----------The----------- re-----------sul-----------ts -----------are----------- sh-----------own----------- in----------- th-----------e f-----------oll-----------owi-----------ng -----------tab-----------le.----------- Â-----------  -----------Tim-----------e T-----------1 T-----------2 T-----------3 -----------0 2-----------0 1-----------8 2-----------1 -----------1 1-----------8 2-----------2 1-----------1 -----------2 2-----------9 2-----------2 2-----------6 -----------3 3-----------2 2-----------5 3-----------5 -----------4 3-----------7 3-----------7 3-----------3 -----------5 3-----------6 4-----------6 3-----------5 -----------6 4-----------6 4-----------5 4-----------4 -----------7 4-----------6 4-----------4 4-----------3 -----------8 5-----------6 5-----------4 6-----------3 -----------9 5-----------8 6-----------4 6-----------8 -----------10 -----------64 -----------69 -----------62 ----------- 11----------- 72----------- 65----------- 65----------- 1-----------2 7-----------9 8-----------0 8-----------0 -----------13 -----------84 -----------74 -----------75 ----------- 14----------- 82----------- 87----------- 78----------- 1-----------5 8-----------7 9-----------3 8-----------8 -----------16 -----------98 -----------90 -----------91 ----------- 17----------- 10-----------3
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