Homework method of quarantine

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Question:
Rusting of steel slabs is investigated. Data for the corrosion rate are shown in the following
table.
Temperature,

Humidity,
%
Trace gases in air,
μg/m3
Dust in air,
μg/m3
Corrosion rate, mg/m2
per day
27
49
79
34
157
10
28
59
98
181
0
50
82
53
302
21
30
64
27
90
20
27
65
94
213
29
48
55
51
162
25
41
88
18
159
2
26
86
45
154
26
48
52
99
229
25
47
61
18
149
1
36
51
79
227
12
42
68
36
129
2
50
60
88
282
13
34
70
62
169
4
47
65
87
204
28
25
83
52
132
(a) Fit a multiple linear regression model to these data. Enter negative coefficients as negative
numbers. What are the test statistic and P-value for this regression?
(b) Construct a t-test for each regression coefficient and find the P-values. Which regressors
are significant at  = 0.09 and  = 0.05 ?
(c) Fit a new regression model to the corrosion as response using only those regressors
significant at  = 0.09 .

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