c) Determine the correlation coefficient between the variables Fat and Weight. d) Using the result from d), determine the equation of the least squares line of Fat on Weight.
c) Determine the correlation coefficient between the variables Fat and Weight. d) Using the result from d), determine the equation of the least squares line of Fat on Weight.
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
can you solve c and d please
![For a sample of 92 middle school girls in New York, the following variables are
measured
Weight: the weight in kilogram
Fat: body fat percentage
For the school girls in the sample, the average body fat percentage is 26.96 with a
standard deviation of 7.14. Some other Excel output is provided below: a cross table
based on absolute frequencies and a scatter plot relating the variable Fat to the
variable Weight, together with the value of the covariance between these two
variables.
Fat ]15,21] 121,25] 125,33]
Weight
128, 36]
136, 42]
142, 50]
150, 60]
160, 88]
10
10
oowoo
3
1
5
13
2
50
45
40
35
30
25
20
15
10
5
0
O
0
2
6
11
10
54
]33,46]
covariance 72.8921
20
30
0
0
6
11
40
50
Weight
60
70
80
90
a) Set up a suitable histogram to show the distribution of outcomes for the variable
Weight.
b) For a randomly selected school girl from the sample, the z-score of body fat
percentage equals -0.905. Determine the body fat percentage of this girl.
c) Determine the correlation coefficient between the variables Fat and Weight.
d) Using the result from d), determine the equation of the least squares line of Fat
on Weight.
100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22517b1a-11db-4a52-b07d-675b8e270afa%2Fa824feeb-b5f3-4377-80d2-62cd7f681a1a%2Fs5mouu4_processed.png&w=3840&q=75)
Transcribed Image Text:For a sample of 92 middle school girls in New York, the following variables are
measured
Weight: the weight in kilogram
Fat: body fat percentage
For the school girls in the sample, the average body fat percentage is 26.96 with a
standard deviation of 7.14. Some other Excel output is provided below: a cross table
based on absolute frequencies and a scatter plot relating the variable Fat to the
variable Weight, together with the value of the covariance between these two
variables.
Fat ]15,21] 121,25] 125,33]
Weight
128, 36]
136, 42]
142, 50]
150, 60]
160, 88]
10
10
oowoo
3
1
5
13
2
50
45
40
35
30
25
20
15
10
5
0
O
0
2
6
11
10
54
]33,46]
covariance 72.8921
20
30
0
0
6
11
40
50
Weight
60
70
80
90
a) Set up a suitable histogram to show the distribution of outcomes for the variable
Weight.
b) For a randomly selected school girl from the sample, the z-score of body fat
percentage equals -0.905. Determine the body fat percentage of this girl.
c) Determine the correlation coefficient between the variables Fat and Weight.
d) Using the result from d), determine the equation of the least squares line of Fat
on Weight.
100
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