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 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	107	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.

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.

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.

Answer 1