Question
In: Statistics and Probability
The data below shows height (in inches) and pulse rates (in beats per minute) of a...
The data below shows height (in inches) and pulse rates (in beats per minute) of a random sample of women. Find the value of the linear correlation coefficient r, using a significance level of 0.05 Is there sufficient evidence to conclude that there is a linear correlation between height and pulse rate?
Height | Pulse Rate
61.7 80
64.3 74
60.1 89
60.3 61
59.3 75
61.5 66
59.6 83
61.1 61
67.5 68
59.7 68
67.1 81
63.3 76
61.8 70
58.9 74
59.2 71
59.5 72
66.6 83
60.8 79
69.6 76
58.2 76
Solutions
Expert Solution
Let x bet the height and y be the pulse rate.
The given data is
linear correlation coefficient r is given as
Now obtaining the
From the calculations
Therefore
= 0.129691
Testing the significance of correlation coefficient
be the correlation coefficient for population
The null hypothesis is given as
i.e there is no linear correlation
i.e there is a linear correlation .
The test statistic is given as
r= 0.129691
n= 20
= 0.554919
The degree of freedom is given as
df = n-2
= 18
Obtaining the p-value
Since the p-value is > 0.05 = 
We failed to reject the null hypothesis.
There is no a significant correlation between height and pulse rate.
orchestra answered 1 year agoRelated Solutions
The data below shows height (in inches) and pulse rates (in beats per minute) of a...
The data below shows height (in inches) and pulse rates (in
beats per minute) of a random sample of women. Answer parts
a-c.
height (x)
61.6
63.8
60.1
60.1
59.1
60.9
59.5
60.5
67.5
59.5
67.5
62.8
pulse rate (y)
78
74
87
63
71
65
82
60
65
65
80
80
a. Find the value of the linear correlation coefficient r.
b. Find the critical values of r from the table showing the
critical values for the Pearson correlation...
The data below shows height (in inches) and pulse rates (in beats per minute) of a...
The data below shows height (in inches) and pulse rates (in
beats per minute) of a random sample of women. Construct a
scatterplot, find the value of the linear correlation coefficient
r, and find the P-value using alphaequals0.05. Is there sufficient
evidence to conclude that there is a linear correlation between
height and pulse rate?
Full data set
height (x)
64.7
66.9
61.2
60.5
59.6
63.8
59.7
63.2
67.6
60.3
pulse rate (y)
79
71
86
60
70
66...
13. The data below shows height (in inches) and pulse rates (in beats per minute) of...
13. The data below shows height (in inches) and pulse rates
(in beats per minute) of a random sample of women. Construct a
scatterplot, find the value of the linear correlation coefficient
r, and find the P-value using a=0.05. Is there sufficient evidence
to conclude that there is a linear correlation between height and
pulse rate?
height_(x)
pulse_rate_(y)
61.2 75
67.8 73
60.1 88
60.1 64
59.3 71
60.9 70
59.5 83
60.8 65
67.8 67
59.9 70
67.9 84...
13. The data below shows height (in inches) and pulse rates (in beats per minute) of...
13. The data below shows height (in inches) and pulse rates
(in beats per minute) of a random sample of women. Construct a
scatterplot, find the value of the linear correlation coefficient
r, and find the P-value using a=0.05. Is there sufficient evidence
to conclude that there is a linear correlation between height and
pulse rate?
height_(x)
pulse_rate_(y)
61.2 75
67.8 73
60.1 88
60.1 64
59.3 71
60.9 70
59.5 83
60.8 65
67.8 67
59.9 70
67.9 84...
Use the accompanying data set on the pulse rates (in beats per minute) of males to...
Use the accompanying data set on the pulse rates (in beats per
minute) of males to complete parts (a) and (b) below.
80
82
83
62
93
83
74
77
50
84
59
72
53
90
59
43
64
64
64
79
51
62
55
68
74
82
52
80
80
72
76
59
Find the mean and standard deviation, and verify that the pulse
rates have a distribution that is roughly normal.
Explain why the pulse rates have a...
The accompanying data represent the pulse rates (beats per minute) of nine students enrolled in a...
The accompanying data represent the pulse rates (beats per
minute) of nine students enrolled in a statistics course. Treat the
nine students as a population. Complete parts (a) through
(b).
Student
Pulse
Perpectual_Bempah
78
Megan_Brooks
75
Jeff_Honeycutt
85
Clarice_Jefferson
71
Crystal_Kurtenbach
85
Janette_Lantka
73
Kevin_McCarthy
89
Tammy_Ohm
71
Kathy_Wojdya
82
(a) Compute the population standard deviation.
sigma equalsσ=nothing
beats per minute
(Round to one decimal place as needed.)
(b) Determine the sample standard deviation of
the following three simple random...
Consider the following data set giving the pulse rates (in beats per minute) of a random...
Consider the following data set giving the pulse rates (in beats
per minute) of a random sample of ten students enrolled in a
Statistics class
76 60 60 81 72 80 68 73 80 60
Find the following values for the given sample data. You may use
a calculator.
a. Mean __________
b. Median __________
c. Mode __________
d. Inter Quartile Range__________
e. Standard deviation __________
f. Outliers __________
The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine...
The accompanying data represent the pulse rates (beats per
minute) of nine students. Treat the nine students as a population.
Compute the z-scores for all the students. Compute the mean and
standard deviation of these z-scores.
STUDENT
PULSE
student
1
77
student
2
61
student
3
60
student
4
80
student
5
73
student
6
80
student
7
80
student
8
68
student
9
73
Compute the z-scores for all the students. complete the table.
(round to the nearest...
The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine...
The accompanying data represent the pulse rates (beats per
minute) of nine students. Treat the nine students as a population.
Compute the z-scores for all the students. Compute the mean and
standard deviation of these z-scores.
Student Pulse
Student 1 77
Student 2 60
Student 3 60
Student 4 80
Student 5 72
Student 6 80
Student 7 80
Student 8 68
Student 9 73
Compute the mean of these z-scores.
The mean of the z-scores is
(Round to the...
The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine...
The accompanying data represent the pulse rates (beats per
minute) of nine students. Treat the nine students as a population.
Compute the z-scores for all the students. Compute the mean and
standard deviation of these z-scores. Compute the z-scores for
all the students. Complete the table.
Student 1 .
Student 2
Student 3
Student 4
Student 5
Student6
Student 7
Student 8
Student 9
(Round to the nearest hundredth as needed.) Compute the mean
of these z-scores.
The mean of...
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