Q1) Find out the ANOVA tables for following regressions: (1) dry weight (Y) on age (X), and (2) log10 dry weight (Z) on age (X). The results given below will be helpful in reducing computation time:
S2y|x = 0.23218 SSY = 8.16811 S2z|x= 0.0007838 SSZ = 4.2276839
2) Use tables to carry out F test for significance of each straight-line regression. Interpret your results
3) Compare value of test statistics F obtained in part(2) with value of t2, square of test statistic for testing H0: β1 =0 that was needed in test null hypothesis that true slope is 0. Interpret the results of this test.
4) P- values for F test in part(2) and for t test in part(2) are same intuitively. Explain why does this make sense?
|
inc
|
time
|
|
5775
|
16.2
|
|
9800
|
35
|
|
13795
|
37.2
|
|
4120
|
9
|
|
25015
|
24.4
|
|
12200
|
36.75
|
|
7400
|
31.75
|
|
9340
|
30
|
|
20170
|
36
|
|
22400
|
30.8
|
|
4608
|
9.7
|
|
24210
|
20
|
|
19625
|
38.2
|
|
18000
|
41.25
|
|
13000
|
44
|
|
5400
|
9.2
|
|
6440
|
20
|
|
9000
|
40.2
|
|
18180
|
32
|
|
15385
|
39.2
|