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

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