The data shown in the following table were collected as part of a study in which the subjects were preterm infants with low birth weights born in three different hospitals (, , and ). (Refer to the complete list in the dataset called Hospital). May we conclude that the three sample hospital populations differ with respect to mean birth weight when gestational age is taken into account? (Hint: Use all concepts you have learned in the topic correlation and regression analysis)
|
ID
|
Birth weight(kg)
|
gestational age(weeks)
|
Hospitals of birth
|
|
1
|
1.4
|
30
|
1
|
|
2
|
0.9
|
27
|
1
|
|
.
|
.
|
.
|
|
|
.
|
.
|
.
|
|
|
39
|
1.2
|
30
|
1
|
|
40
|
1.2
|
32
|
2
|
- Find out the relationship of the above variables using the literature review and give a brief report.
- Perform a multiple linear regression and describe your finding.
- Examine the model fit.
- Perform a residual analysis