Question
In: Math
ou wish to determine if there is a negative linear correlation between the age of a...
ou wish to determine if there is a negative linear correlation
between the age of a driver and the number of driver deaths. The
following table represents the age of a driver and the number of
driver deaths per 100,000. Use a significance level of 0.05 and
round all values to 4 decimal places.
| Driver Age | Number of Driver Deaths per 100,000 |
|---|---|
| 62 | 33 |
| 37 | 19 |
| 55 | 18 |
| 20 | 22 |
| 32 | 29 |
| 75 | 32 |
| 30 | 28 |
Ho: ρ = 0
Ha: ρ < 0
Find the Linear Correlation Coefficient
r =
Find the p-value
p-value =
The p-value is
- Less than (or equal to) αα
- Greater than αα
The p-value leads to a decision to
- Reject Ho
- Accept Ho
- Do Not Reject Ho
The conclusion is
- There is a significant linear correlation between driver age and number of driver deaths.
- There is a significant negative linear correlation between driver age and number of driver deaths.
- There is a significant positive linear correlation between driver age and number of driver deaths.
- There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths.
Solutions
Expert Solution
Solution:
- There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths.
milcah answered 5 months agoRelated Solutions
You wish to determine if there is a negative linear correlation between the two variables at...
You wish to determine if there is a negative linear correlation
between the two variables at a significance level of α=0.01α=0.01.
You have the following bivariate data set.
x
y
67.2
118
53.8
131.4
68.2
321.5
60.5
-67.4
58.2
154.3
60.5
230.3
41.2
157.7
105.5
91
72.8
-80
80.9
-105.7
79.6
125.1
81.7
-58.5
67.5
70.3
48.5
-81
17.9
184.8
57.4
149.2
59
30.8
43.1
104.9
63.9
-75
81.4
-1.2
50.5
-58.2
90.9
-27.9
77
115.3
54.2
171.7
78.9
208.3...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
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the following bivariate data set.
x
y
85.9
65.4
73.2
49.4
62.2
36.9
86.4
52.3
76
52.8
70.8
34
77.6
59.4
70.1
47.2
80.2
65.8
83.9
46.2
80.1
47
68.8
50.8
85.5
82.9
74.3
69.9
72.7
42.8
87.1
65.6
70.4
59.3
85.2
64.5
63.3
31.9
92.6
80.4
87
62.2
77.3
63.8
93.9
64.4
What is the correlation coefficient...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.005α=0.005. You
have the following bivariate data set.
x
y
39
52.7
29.7
82.5
32.1
72.4
39.4
98.3
31.1
51.4
43.1
51.8
35.5
43.8
29.5
90.8
38.4
100
36.8
7.4
34
67.5
28.3
97.2
32.2
82.2
29.9
28.9
What is the correlation coefficient for this data set?
r =
What is the p-value for this correlation coefficient?
p-value =
Your final...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.01. You have the
following bivariate data set.
x
y
30.1
49.7
47.3
53.8
55.7
49.6
35.7
58.9
42.7
53.7
36.4
56.8
42.6
62.9
34
61.1
47.5
65
57.3
47
34.5
63.3
62.6
55.2
What is the correlation coefficient for this data set?
r =
To find the p-value for a correlation coefficient, you need to
convert to a t-score:
t=√r2(n−2)1−r2...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.10. You have the
following bivariate data set.
x
y
30.5
114.8
40.9
130.6
25.9
19.8
25.1
23.9
27.9
96.4
40.8
91.6
32.4
41.1
27.6
34
38.3
145.8
32.8
138.8
32.5
95.5
37.4
120.4
22
84.6
41
65.6
30.8
27.4
21.8
102
33
66.4
31.9
59.8
27.8
41.4
30.1
85.8
26.2
71.7
28.5
35.1
26.9
67.6
1. What is the correlation...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.005α=0.005. You
have the following bivariate data set.
x
y
13.6
126.6
33.5
42.2
17.6
78.5
39
32.7
33
61.5
47.1
25.1
41.4
34.7
74
-41
68.7
-3
41.2
59.9
27.1
89.2
27.2
78.7
-19.8
179.9
62.7
-1.1
21
112.8
40.6
32.6
27.3
63.2
27.6
59.6
31.4
52.7
56.6
9.1
55
28.6
40.5
46.3
17.9
91.8
52.1
-6.6
38
21.3
24.5...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.005α=0.005. You
have the following bivariate data set.
x
y
101.8
97.3
72.4
18.1
94.1
94.4
43.8
-23.5
84.5
84.5
68.1
27.2
51.3
3.9
88.6
87.8
77
53.1
56.9
13.7
72.7
29.5
74.1
36.7
112.3
112.7
70.9
40.1
What is the correlation coefficient for this data set?
r =
(report answer accurate to at least 3 decimal places)
To find the...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.01. You have the
following bivariate data set.
x
y
75
22.4
50.4
41.3
94.4
27.3
60.1
35
63.9
32.2
43.8
52.1
59
42.2
54.5
35.9
75.8
19.2
49.4
46.4
42.5
59.4
29.7
59.3
65.2
27.9
56.6
31.2
38.6
48.3
50.7
32.9
60
35.1
61
35.6
59.2
32.7
94.4
11.8
42.3
47.5
71.1
19.3
65.9
42.2
17.3
65.3
What is the...
You wish to determine if there is a linear correlation between the two variables at a...
You wish to determine if there is a linear correlation between
the two variables at a significance level of α=0.01α=0.01. You have
the following bivariate data set.
x
y
53.8
140.7
59.6
106.5
91.7
8.3
85.5
23
93.1
42.2
77.7
48.3
71.4
86.7
69.5
85.1
80.9
59.1
62.5
112.7
79.6
103
76.6
69
76.1
32.1
What is the critival value for this hypothesis test?
rc.v. =
What is the correlation coefficient for this data set?
r =
Your final conclusion...
Test to see if there is a linear correlation between Age and Balance on a Visa...
Test to see if there is a linear correlation between Age and
Balance on a Visa card. Then predict the Balance for a person that
is 30 years old.
The data collected below comes from
people that live in Salinas. Listed below are the genders, ages and
current balance on one specific type of Visa card.
Gender
Balance
Age
M
235
19
M
122
24
M
1752
55
M
1543
62
M
1655
34
M
0
19
M
84
22...
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