An article in theTappi Journal(March, 1986) presented data on green liquor Na2S concentration (in grams per liter) and paper machine production (in tons per day). The data (read from a graph) are shown as follows:
y
40
42
49
46
44
48
x
825
830
890
895
910
43
53
52
54
57
58
915
960
990
1010
1012
1030
1050
(a) Fit a simple linear regression model withy= green liquor Na2S concentration andx= production. Find an estimate of σ2. Draw a scatter diagram of the data and the resulting least squares fitted model.
(b) Find the fitted value ofycorresponding tox= 910 and the associated residual.
(c) Find the mean green liquor Na2S concentration when the production rate is 950 tons per day.
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