Wauchope and McDowell (1984) studied the effect of the amount of extractable iron, the amount of extractable aluminium and the pH of soils' adsorption of phosphate to the adsorption index. Table below gives the data: Extractable Iron Adsorption Index Extractable pH Aluminium 61 13 7.7 4 175 21 7.7 18 111 24 6.8 14 124 23 7.3 18 130 64 5.1 26 173 38 5.7 26 169 33 5.8 21 169 61 5.2 30 160 39 6.3 28 244 71 5.7 36 257 112 4.4 65 333 88 4.5 62 199 54 6.2 40 (a) Fit a multiple regression model for predicting adsorption index using the amount of extractable iron, the amount of extractable aluminium and the pH of soils' adsorption of phosphate by using EXCEL/SPSS. (b) Perform the model utility test by using 0.05 significance level. (e) Interpret the values of R° given in the output. (d) Determine whether the amount of extractable iron contributes significantly to the regression after effects of the amount of extractable aluminium and effects of the pH of soils' adsorption of phosphate are taken into account.

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Wauchope and McDowell (1984) studied the effect of the amount of extractable iron, the
amount of extractable aluminium and the pH of soils' adsorption of phosphate to the adsorption
index. Table below gives the data:
Extractable Iron
Extractable
pH
Adsorption Index
Aluminium
61
13
7.7
4
175
21
7.7
18
111
24
6.8
14
124
23
7.3
18
130
64
5.1
26
173
38
5.7
26
169
33
5.8
21
169
61
5.2
30
160
39
6.3
28
244
71
5.7
36
257
112
4.4
65
333
88
4.5
62
199
54
6.2
40
(a) Fit a multiple regression model for predicting adsorption index using the amount of
extractable iron, the amount of extractable aluminium and the pH of soils' adsorption
of phosphate by using EXCEL/SPSS.
(b) Perform the model utility test by using 0.05 significance level.
(c) Interpret the values of R* given in the output.
(d) Determine whether the amount of extractable iron contributes significantly to the
regression after effects of the amount of extractable aluminium and effects of the pH
of soils' adsorption of phosphate are taken into account.
Transcribed Image Text:Wauchope and McDowell (1984) studied the effect of the amount of extractable iron, the amount of extractable aluminium and the pH of soils' adsorption of phosphate to the adsorption index. Table below gives the data: Extractable Iron Extractable pH Adsorption Index Aluminium 61 13 7.7 4 175 21 7.7 18 111 24 6.8 14 124 23 7.3 18 130 64 5.1 26 173 38 5.7 26 169 33 5.8 21 169 61 5.2 30 160 39 6.3 28 244 71 5.7 36 257 112 4.4 65 333 88 4.5 62 199 54 6.2 40 (a) Fit a multiple regression model for predicting adsorption index using the amount of extractable iron, the amount of extractable aluminium and the pH of soils' adsorption of phosphate by using EXCEL/SPSS. (b) Perform the model utility test by using 0.05 significance level. (c) Interpret the values of R* given in the output. (d) Determine whether the amount of extractable iron contributes significantly to the regression after effects of the amount of extractable aluminium and effects of the pH of soils' adsorption of phosphate are taken into account.
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