Question: You are interested in the relationship between length and gestational age for the population of low birth weight infants. In particular, you want to know what happens to length as gestational age increases. The data are below. Is there sufficient evidence that gestational age is related birth length in the population of low birth weight infants?

ID LNGTH AGE

1 31 23

2 32 23

3 34 24

4 33 24

5 19 25

6 28 25

7 31 25

8 33 25

9 30 25

10 37 26

11 36 26

12 35 26

13 31 26

14 28 26

15 31 27

16 32 27

17 33 27

18 34 27

19 35 27

20 36 27

21 38 27

22 30 27

23 29 28

24 30 28

25 33 28

26 34 28

27 35 28

28 36 28

29 37 28

30 38 28

31 39 28

32 31 29

33 32 29

34 34 29

35 35 29

36 36 29

37 37 29

38 38 29

39 39 29

40 29 30

41 33 30

42 34 30

43 35 30

44 36 30

45 37 30

46 38 30

47 28 31

48 34 31

49 35 31

50 36 31

51 37 31

52 38 31

53 39 31

54 33 32

55 35 32

56 38 32

57 39 32

58 41 32

59 36 33

60 37 33

61 39 33

62 40 33

63 40 34

64 37 35

65 38 36

a. State your hypotheses.

b. What is the r 2 for the data?

c. Give the test statistic and p-value.

d. State your conclusion in context of the problem.