When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 22 sets of skeletal remains. The data are in the table below. X, length of metacarpal Y, height 42 161 43 177 49 185 42 165 45 173 41 165 44 171 43 170 42 175 47 171 38 157 50 181 40 155 39 159 48 171 52 176 48 183 47 172 46 173 45 173 46 169 40 160 a) State the random variables. rv X = of rv Y = of b) The symbol and value of the correlation coefficient are as follows: Round final answer to 3 decimal places. = Interpret this value: There is a strong relation between length of metacarpal and height for sets of skeletal remains. c) The symbol and value of the coefficient of determination are as follows: Round final answer to 3 decimal places. = Interpret this value: About % of the explained by the linear model with as its variable.
When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 22 sets of skeletal remains. The data are in the table below. X, length of metacarpal Y, height 42 161 43 177 49 185 42 165 45 173 41 165 44 171 43 170 42 175 47 171 38 157 50 181 40 155 39 159 48 171 52 176 48 183 47 172 46 173 45 173 46 169 40 160 a) State the random variables. rv X = of rv Y = of b) The symbol and value of the correlation coefficient are as follows: Round final answer to 3 decimal places. = Interpret this value: There is a strong relation between length of metacarpal and height for sets of skeletal remains. c) The symbol and value of the coefficient of determination are as follows: Round final answer to 3 decimal places. = Interpret this value: About % of the explained by the linear model with as its variable.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 22 sets of skeletal remains. The data are in the table below.
| X, length of metacarpal | Y, height |
|---|---|
| 42 | 161 |
| 43 | 177 |
| 49 | 185 |
| 42 | 165 |
| 45 | 173 |
| 41 | 165 |
| 44 | 171 |
| 43 | 170 |
| 42 | 175 |
| 47 | 171 |
| 38 | 157 |
| 50 | 181 |
| 40 | 155 |
| 39 | 159 |
| 48 | 171 |
| 52 | 176 |
| 48 | 183 |
| 47 | 172 |
| 46 | 173 |
| 45 | 173 |
| 46 | 169 |
| 40 | 160 |
a) State the random variables.
rv X = of
rv Y = of
b) The symbol and value of the
Round final answer to 3 decimal places.
=
Interpret this value:
- There is a strong relation between length of metacarpal and height for sets of skeletal remains.
c) The symbol and value of the coefficient of determination are as follows:
Round final answer to 3 decimal places.
=
Interpret this value:
- About % of the explained by the linear model with as its variable.
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Homework for Section 10.1
hcc.instructure.com/courses/113555/assignments/2275903
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7
X
%
When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height
of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 18 sets of skeletal
remains. The data are in the table below.
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X, length of metacarpal (in cm) Y, height (in cm)
45
173
43
177
39
159
42
161
50
181
48
183
40
160
47
175
48
174
48
171
46
38
43
40
45
41
52
47
F6
a) State the random variables.
rv X = the length of metacarpal
rv Y = the height
b) Make a scatterplot of X versus Y in StatCrunch (optional). Why do we wish to sketch a scatterplot?
To verify that a linear model is appropriate and to look for outliers. ✓
MacBook Air
F7
atv
▶||
of all sets of skeletal remains
of all sets of skeletal remains
F8
3:10
A
SHIR
2.8
175
157
170
155
173
165
176
172
48
▶▶►
39% [4] Sun Jul 10 11:44:06 a
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Transcribed Image Text:History
PORO
CELTICE
NIT
3
Ecount
shboard
E
ourses
alendar
凸
Inbox
History
R
Studio
?
Help
K
Bookmarks Profiles Tab Window Help
C
20
Homework for Section 10.1
hcc.instructure.com/courses/113555/assignments/2275903
Summer 2022
Home
Announcements
Syllabus
Modules
StatCrunch
Grades
Smarthinking Online
Tutoring
Academic Success
Honorlock
0:37
10
DOO
000
7
X
%
When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height
of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 18 sets of skeletal
remains. The data are in the table below.
F5
I
FO
X, length of metacarpal (in cm) Y, height (in cm)
45
173
43
177
39
159
42
161
50
181
48
183
40
160
47
175
48
174
48
171
46
38
43
40
45
41
52
47
F6
a) State the random variables.
rv X = the length of metacarpal
rv Y = the height
b) Make a scatterplot of X versus Y in StatCrunch (optional). Why do we wish to sketch a scatterplot?
To verify that a linear model is appropriate and to look for outliers. ✓
MacBook Air
F7
atv
▶||
of all sets of skeletal remains
of all sets of skeletal remains
F8
3:10
A
SHIR
2.8
175
157
170
155
173
165
176
172
48
▶▶►
39% [4] Sun Jul 10 11:44:06 a
F9
Tp 2
F10
= 10
F11
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Window
Help
m/courses/113555/assignments/2275903
c) Find the equation of the best-fitting line (the least squares regression equation).
Round values to 2 decimal places.
Include the restricted domain.
equation: ? ✓
restricted domain:
• Every time we increase Select an answer
Select an answer by
d) Interpret the slope from part c in the context of this problem. (Pay attention to the units)
When Select an answer
Select an answer
cm <= x <=
Select an answer
we can expect Select an answer
e) Interpret the Y-intercept from part c in the context of this problem. Include units.
BER
*X
✓is
cm
Does it make sense to interpret the Y-intercept on this problem?
Why or why not? Select an answer
3600
MacBook Air
✓to be
@tv
f) Should you use the regression equation to predict the height of a randomly selected set of skeletal
remains that has a length of metacarpal of 46 cm?
V
on average.
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Should you use the regression equation to predict the height of a randomly selected set of skeletal
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Transcribed Image Text:ib
Window
Help
m/courses/113555/assignments/2275903
c) Find the equation of the best-fitting line (the least squares regression equation).
Round values to 2 decimal places.
Include the restricted domain.
equation: ? ✓
restricted domain:
• Every time we increase Select an answer
Select an answer by
d) Interpret the slope from part c in the context of this problem. (Pay attention to the units)
When Select an answer
Select an answer
cm <= x <=
Select an answer
we can expect Select an answer
e) Interpret the Y-intercept from part c in the context of this problem. Include units.
BER
*X
✓is
cm
Does it make sense to interpret the Y-intercept on this problem?
Why or why not? Select an answer
3600
MacBook Air
✓to be
@tv
f) Should you use the regression equation to predict the height of a randomly selected set of skeletal
remains that has a length of metacarpal of 46 cm?
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on average.
✓by
Should you use the regression equation to predict the height of a randomly selected set of skeletal
f skeletal
3:10
A
40% [4] Sun Jul 10 11:44:22
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Solution
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