A study was conducted to investigate whether gestational age at birth (in weeks)
ID: 3422271 • Letter: A
Question
A study was conducted to investigate whether gestational age at birth (in weeks) predicts birth weight (in grams). The following data were collected:
Infant ID
Age at birth (weeks)
Birth weight (g)
1
34.7
1895
2
36.0
2030
3
29.3
1440
4
40.1
2835
5
35.7
3090
6
42.4
3827
7
40.3
3260
8
37.3
2690
9
40.9
3285
10
38.3
2920
11
38.5
3430
12
41.4
3657
13
39.7
3685
14
39.7
3345
15
41.1
3260
16
38.0
2680
17
38.7
2005
Please show your work in answering the following (you may use R):
a) Find the slope of the regression line and interpret the slope.
b) Find the Y-intercept of the regression line.
c) Write down the regression equation.
d) Create a scatterplot showing age vs birth weight and indicate what kind of relationship you see between the two variables. Add the regression line to the plot.
e) Find the predicted birth weight (Y’) for each observed age.
f) Find the residuals for each subject and the SSResidual.
g) Find the standard error of estimate (sY.X) using SSResidual.
h) Find robs for age and weight.
i) Find the standard error of estimate (sY.X) using robs.
j) Compare sY.X in g and i and briefly explain what sY.X tells us with respect to the linear relation between age and weight.
k) Write the overall conclusion from this analysis
Infant ID
Age at birth (weeks)
Birth weight (g)
1
34.7
1895
2
36.0
2030
3
29.3
1440
4
40.1
2835
5
35.7
3090
6
42.4
3827
7
40.3
3260
8
37.3
2690
9
40.9
3285
10
38.3
2920
11
38.5
3430
12
41.4
3657
13
39.7
3685
14
39.7
3345
15
41.1
3260
16
38.0
2680
17
38.7
2005
Explanation / Answer
A study was conducted to investigate whether gestational age at birth (in weeks)
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