c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months).
c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months).
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Related questions
Question
Need answers for C) and D)
![2. Ayako's parents are concerned that she is rather short for her
age. The doctor's records of her growth give us the following
data:
Age
(months)
36
48
51
54
57
60
Height
(cm)
86
90
91
93
94
95
a) Make a scatterplot of this data. Draw a rough sketch below
and describe any pattern/correlation that you see.
Scatter Diagram
96
95
94
93
92
91
90
89
88
87
86
85
30
35
40
45
50
55
60
65
Age (Months) (X)
b) Use you calculator to find the regression equation that is
appropriate for this data: What is the strength of this
correlation? Explain.
The equation of regression line is,
< >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6228032-bce6-46f9-b87a-648fe3727566%2Ff254e62f-2c8f-483b-bc1f-20c65d841714%2Fao3iuy8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Ayako's parents are concerned that she is rather short for her
age. The doctor's records of her growth give us the following
data:
Age
(months)
36
48
51
54
57
60
Height
(cm)
86
90
91
93
94
95
a) Make a scatterplot of this data. Draw a rough sketch below
and describe any pattern/correlation that you see.
Scatter Diagram
96
95
94
93
92
91
90
89
88
87
86
85
30
35
40
45
50
55
60
65
Age (Months) (X)
b) Use you calculator to find the regression equation that is
appropriate for this data: What is the strength of this
correlation? Explain.
The equation of regression line is,
< >
![The equation of regression line is,
Ý = a +b* X = 71. 95 + 0. 3833 * X
r=0.9944, this shows nearly perfect correlation between age
(months) (X) and height (cm ) (Y)
c) Use your equation to estimate her height at 40 months.
d) Use your equation to estimate her height at 40 years (480
months).
What is your estimate:
Does this number seem realistic?
Explain why your estimate at 40
was or was not
realistic.
e) Generalize what the regression equation says about this data
in context; i.e., what it says about Ayako's growth.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6228032-bce6-46f9-b87a-648fe3727566%2Ff254e62f-2c8f-483b-bc1f-20c65d841714%2Frlysgel_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The equation of regression line is,
Ý = a +b* X = 71. 95 + 0. 3833 * X
r=0.9944, this shows nearly perfect correlation between age
(months) (X) and height (cm ) (Y)
c) Use your equation to estimate her height at 40 months.
d) Use your equation to estimate her height at 40 years (480
months).
What is your estimate:
Does this number seem realistic?
Explain why your estimate at 40
was or was not
realistic.
e) Generalize what the regression equation says about this data
in context; i.e., what it says about Ayako's growth.
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