A chemist studied the concentration of a solution (Y) over time (X). Fifteen identical solutions were prepared and it was measured after 1, 3, 4, 5, 7, 8, 9 hours. A simple regression model was fitted to the data and some outputs are given below. Time 9 8 7 9 3 4 3 Concentration 0.08 0.09 0.16 0.49 0.07 2.84 1.22 1.15 Time 7 7 1 5 3 5 Concentration 0.17 0.21 3.1 0.53 2.57 1.07 0.58 Ý= 2.725 - 0.328X SSE = 3.537 c) Perform a lack of fit test for the estimated model. Use a = 0.05.

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A chemist studied the concentration of a solution (Y) over time (X). Fifteen identical solutions
were prepared and it was measured after 1, 3, 4, 5, 7, 8, 9 hours. A simple regression model
was fitted to the data and some outputs are given below.
Time
9.
9
8
7
9.
4
3
Concentration
0.08
0.09
0.16
0.49
0.07
2.84
1.22
1.15
Time
7
7
1
1
3
Concentration
0.17
0.21
3.1
0.53
2.57
1.07
0.58
Ý= 2.725 - 0.328X
SSE = 3.537
c) Perform a lack of fit test for the estimated model. Use a = 0.05.
Transcribed Image Text:A chemist studied the concentration of a solution (Y) over time (X). Fifteen identical solutions were prepared and it was measured after 1, 3, 4, 5, 7, 8, 9 hours. A simple regression model was fitted to the data and some outputs are given below. Time 9. 9 8 7 9. 4 3 Concentration 0.08 0.09 0.16 0.49 0.07 2.84 1.22 1.15 Time 7 7 1 1 3 Concentration 0.17 0.21 3.1 0.53 2.57 1.07 0.58 Ý= 2.725 - 0.328X SSE = 3.537 c) Perform a lack of fit test for the estimated model. Use a = 0.05.
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