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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
9000
40.2
18180
32
15385
39.2
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