Question
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
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 | 104 | 100 | 109 |
19 | 103 | 103 | 107 |
20 | 102 | 103 | 104 |
Compute the least-squares line for estimating the temperature as a function of time, using T1 as the value for temperature. Round the answers to three decimal places. y = ? + ?x
Compute the least-squares line for estimating the temperature as a function of time, using T2 as the value for temperature. Round the answers to three decimal places. y = ? + ?x
Compute the least-squares line for estimating the temperature as a function of time, using T3 as the value for temperature. Round the answers to three decimal places. y = ? + ?x
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