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 44 173 48 183 41 162 39 159 50 181 46 173 43 177 42 161 48 171 52 176 40 155 49 185 47 171 44 171 38 157 47 175 40 163 51 180 50 178 45 173 42 165 43 170 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 44 173 48 183 41 162 39 159 50 181 46 173 43 177 42 161 48 171 52 176 40 155 49 185 47 171 44 171 38 157 47 175 40 163 51 180 50 178 45 173 42 165 43 170 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 |
|---|---|
| 44 | 173 |
| 48 | 183 |
| 41 | 162 |
| 39 | 159 |
| 50 | 181 |
| 46 | 173 |
| 43 | 177 |
| 42 | 161 |
| 48 | 171 |
| 52 | 176 |
| 40 | 155 |
| 49 | 185 |
| 47 | 171 |
| 44 | 171 |
| 38 | 157 |
| 47 | 175 |
| 40 | 163 |
| 51 | 180 |
| 50 | 178 |
| 45 | 173 |
| 42 | 165 |
| 43 | 170 |
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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