Question

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.

Answer 1