Home-work 4: Due Friday March 4:
Use the following data set to answer the questions:
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Y
35
10
9
30
20
23
28
8
29
4
18
14
32
6
8
X1
8.4
2.0
3.5
10.4
6.5
6.2
12.4
7.0
5.8
3.0
6.0
5.5
9.0
1.1
2.1
X2
8
6.5
6.2
5.0
6.5
7.3
6.4
6.0
6.1
5.4
7.3
6.6
6.5
5.8
7.1
X3
1
8.5
6.5
1.5
7.5
4.5
4.0
10.0
3.0
11.0
4.5
5.5
2.5
7.0
9.0
We are interested in modeling number of larvae based on depth, brackishness and dissolved oxygen.
1.
2.
3.
4.
5.
Fit the data and find estimates of the partial slopes.
Test for the significance of the slopes.
What is the sequential effect (extra sums of squares)
What is partial sum of squares?
Do the relevant diagnostics and comment on the assumptions.