Question
In: Statistics and Probability
In a series of projects I determined linear correlation coefficients between various explanatory and response variables....
- In a series of projects I determined linear correlation coefficients between various explanatory and response variables. Rank projects thru 5 in order of the increasing strength of correlation.
|
Project number |
r |
|
1 |
-0.3 |
|
2 |
0.5 |
|
3 |
-1.0 |
|
4 |
0.9 |
|
5 |
0 |
- What does r measure?
- Given the following values of x and y, and using y as the response variable, find the regression line that best fits the data.
|
x |
Y |
|
3 |
8 |
|
5 |
17 |
|
6 |
20 |
|
12 |
42 |
|
16 |
55 |
|
17 |
61 |
- Estimate the y values associated with an x value of 13
Solutions
Expert Solution
The following is a scatterplot of the
data:
The scatterplot suggests that a
linear regression fit will be appropriate.
orchestra answered 11 months agoRelated Solutions
(a)What is the explanatory variable and the response variable? (b) Find the correlation between boat registrations...
(a)What is the explanatory variable and the response
variable?
(b) Find the correlation between boat registrations and manatee
deaths. (Round to the hundredths place.)
(c) What percent of the variation in manatees killed is
explained by the model?
(d) Find the least squares regression line for these data.
(Round all values to the hundredths place.)
(e) Predict how many manatees may die if 792 boats are
registered. (Round to the nearest whole number.)
Year
manatees killed
powerboat registration
1995
50...
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=0.10α=0.10. You have
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...
Using excel compute correlation coefficients, correlation matrix and test the significance of the correlation coefficients between...
Using excel compute correlation coefficients, correlation matrix
and test the significance of the correlation coefficients between
sales with price, sales with advertisments using alpha
0.05
Sales
Price
Adver
19.98
14.10
15.19
19.98
18.65
15.19
19.98
18.65
13.87
19.98
18.65
12.83
19.98
18.65
13.16
19.98
18.65
15.19
19.98
18.65
13.92
20.10
18.73
14.42
20.12
18.75
13.83
20.13
18.75
14.50
20.14
18.75
13.87
20.12
18.75
13.64
20.12
13.87
14.31
20.13
14.27
13.85
20.14
18.76
14.20
20.14
18.77
13.64
20.13
13.87
14.33
20.13
14.14...
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