Question

Greene and Touchstone conducted a study to relate birth weight and Estriol level in pregnant women...

Greene and Touchstone conducted a study to relate birth weight and Estriol level in pregnant women as given in Table-1:

Table: 1 Sample Data from Greene and Touchstone study relating birth weight and estriol.

i

Estriol (mg/24 hr) xi

Birth weight(g/100) yi

i

Estriol (mg/24 hr) xi

Birth weight(g/100) yi

1

7

25

17

17

32

2

9

25

18

25

32

3

9

25

19

27

34

4

12

27

20

15

34

5

14

27

21

15

34

6

16

27

22

15

35

7

16

24

23

16

35

8

14

30

24

19

34

9

16

30

25

18

35

10

16

31

26

17

36

11

17

30

27

18

37

12

19

31

28

20

38

13

21

30

29

22

40

14

24

28

30

25

39

15

15

32

31

24

43

16

16

32

Q1. Derive the estimated regression line for the data.

Q2. What is the estimated average birth weight if a pregnant woman has an estriol level of 15 mg/24 hr?

Q3. If low birth weight is defined as ≤2500 g, for what estriol level would the predicted birth weight be 2500 g?

Q4. Fit a linear regression model based on the data using R.

Q5.Test for the significance of the regression line derived for thebirthweight−estriol data.

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