Birth Length (in) of Newborn Infants Height of Mother (in) Height of Father (in)
ID: 3134039 • Letter: B
Question
Birth Length (in) of Newborn Infants
Height of Mother (in)
Height of Father (in)
Birth Weight of Nearest Sibling (lb)
1
22.0
61
70
6.5
2
23.5
64
72
6.1
3
24.0
64
74
7.3
4
22.0
58
62
6.4
5
18.7
59
60
5.9
6
22.1
64
62
6.7
7
23.0
62
73
6.8
8
24.3
64
76
7.2
9
20.5
61
70
6.0
10
22.1
65
72
6.1
11
20.3
63
71
6.0
12
24.2
64
76
7.4
13
21.9
65
72
6.2
14
23.4
62
78
6.7
15
26.1
64
77
7.1
16
22.5
63
72
6.8
17
23.5
63
72
6.3
18
22.6
63
69
6.7
19
21.9
63
68
6.2
20
19.6
60
61
5.9
21
19.6
61
64
5.8
22
22.5
64
66
6.2
23
21.2
60
70
6.2
24
24.1
66
72
7.1
25
22.8
63
68
7.1
After you have submitted your answers in the Assignment #_ Submission Link, upload the Excel file (provided you by the Instructor) containing your answers and calculations into the Home Work #_ Supporting Documentation Submission link prior to the due date and time. As stated in the syllabus a score of zero will be awarded for the assignment if this Excel file is not submitted.
Scenario: As a researcher studying how inherited traits influence newborn babies. You have gathered genetic data on newborns’, parents and sibling as shown in the table above.
Scenario 3: Perform a simple linear regression analysis to predict a newborn’s birth length (in inches) using the nearest (in age) sibling’s birth weight as a predictor variable. Conduct your analysis using a 95% level of confidence.
Question 11: Does the regression model confirm a correlation between the dependent variable and the independent variable? How do you know? (5 points)
Question 12: Is the statistical significance of the model as a whole acceptable for a 95% level of confidence? How do you know? (5 points)
Question 13: Is the statistical significance of the linear relationship between the dependent and independent variable acceptable for a 95% level of confidence? How do you know? (5 points)
Question 14: What is the regression equation for the model? (5 points)
Question 15: What is the predicted birth length of a newborn whose nearest sibling weighs 7.0 lbs.? (5 points)
Birth Length (in) of Newborn Infants
Height of Mother (in)
Height of Father (in)
Birth Weight of Nearest Sibling (lb)
1
22.0
61
70
6.5
2
23.5
64
72
6.1
3
24.0
64
74
7.3
4
22.0
58
62
6.4
5
18.7
59
60
5.9
6
22.1
64
62
6.7
7
23.0
62
73
6.8
8
24.3
64
76
7.2
9
20.5
61
70
6.0
10
22.1
65
72
6.1
11
20.3
63
71
6.0
12
24.2
64
76
7.4
13
21.9
65
72
6.2
14
23.4
62
78
6.7
15
26.1
64
77
7.1
16
22.5
63
72
6.8
17
23.5
63
72
6.3
18
22.6
63
69
6.7
19
21.9
63
68
6.2
20
19.6
60
61
5.9
21
19.6
61
64
5.8
22
22.5
64
66
6.2
23
21.2
60
70
6.2
24
24.1
66
72
7.1
25
22.8
63
68
7.1
Explanation / Answer
y= dependent variable=newborn’s birth length
x=nearest (in age) sibling’s birth weight=independent or predictor variable
answer of 11) the significant positive regresion coefficeint confirms the positive correlation between dependent and independent variable
answer of 12) above anova of the regresson model explains that the p-value of the model is less than 0.001 so model is significant at alpha=5% or 95% confidence level
answer 13) pearson correlation table explains that significant linear relationship between dependent and independet variable as p-value is less than 0.001 which is less than alpha=5% (or 95% confidence level)
answer 14) y=4.137+2.7964x
answer 15)when x=7, we have to calculate y
y=4.137+2.7964*7=23.7118
Analysis of Variance Source DF Sum ofSquares Mean
Square F Value Pr > F Model 1 45.02990 45.02990 41.95 <.0001 Error 23 24.68770 1.07338 Corrected Total 24 69.71760
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