Birth Length (in) of Newborn Infants Height of Mother (in) Height of Father (in)
ID: 3201495 • 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
22.1
60
61
6.2
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
22.9
63
72
6.1
10
22.1
65
72
6.1
11
20.3
63
71
6
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
22.7
62
70
6.5
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
23.7
65
72
6.7
24
24.1
66
72
7.1
25
22.8
63
68
7.1
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
22.1
60
61
6.2
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
22.9
63
72
6.1
10
22.1
65
72
6.1
11
20.3
63
71
6
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
22.7
62
70
6.5
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
23.7
65
72
6.7
24
24.1
66
72
7.1
25
22.8
63
68
7.1
Explanation / Answer
Following table shows the calculations:
Question 11:
Correlation coeffcient between the variables is 0.7837. It shows a strong linear, positive relationship between the variables.
Question 12:
P-value of the F test is 0.0000.
Since p-value is less than 0.05 so model is signficant at 5% level of significance.
Question 13:
P-value of the slope is 0.0000. Since p-value is less than 0.05 so there is a siginficant relationship between the variables.
Question 14:
The regression equation for the model is
y' = 2.667x + 5.083
Question 15:
The predicted birth length of a newborn whose nearest sibling weighs x=7.0 lbs is
y' = 2.667*7.0 + 5.083 = 23.752
So required predicted birth length of a newborn whose nearest sibling weighs 7.0 lbs is 23.75 lb.
SUMMARY OUTPUT Regression Statistics Multiple R 0.783707029 R Square 0.614196707 Adjusted R Square 0.59742265 Standard Error 1.04618376 Observations 25 ANOVA df SS MS F Significance F Regression 1 40.07608942 40.07609 36.61587262 3.58977E-06 Residual 23 25.17351058 1.0945 Total 24 65.2496 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 5.083323868 2.886518267 1.761057 0.091519978 -0.887894079 11.05454181 Birth Weight of Nearest Sibling (lb), X 2.666974301 0.440741694 6.051105 3.58977E-06 1.755230647 3.578717955Related Questions
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