Relationship between the f statistic and t statistic


1. 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 following results will be helpful in minimizing computation time:

 S2y|x = 0.23218 SSY = 8.16811  S2z|x= 0.0007838  SSZ = 4.2276839

2. Employ the tables in part (a) to perform the F test for significance of each straight-line regression. Interpret your results

3. Compare value of test statistics F obtained in part (b) with value of t2, the square of test statistic for testing H0: β1 =0 that was required in test the null hypothesis that the true slope is 0. interpret the results of this test.

4. The p- values for F test in part(b) and for the t test in part(c) are the same. Intuitively. 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

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Basic Statistics: Relationship between the f statistic and t statistic
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