Question
In: Statistics and Probability
Suppose the correlation between two variables is +0.8. If the range of the predictor variable, X...
Suppose the correlation between two variables is +0.8. If the range
of the predictor variable, X in the scatter plot is reduced, which
of the following could happen? (Assume no additional data are
collected and the relationship between the variables is casual)
A) correlation, R, between X and Y may decrease.
B) Overall range of Y values may increase.
C) both (a) and (b)
D) neither(a) nor (b)
Solutions
Expert Solution
D) Neither (a) nor (b)
The property of correlation is,
correlation does not change by changing the origin of a variable.
correlation does not change by changing the scale of a variable.
Because if we reduce the overall value of x variable then correlation does not change if we change in both variable at different values then will change otherwise not.
Example:
> x
[1] 10 11 12 13 14 15 16 17 18 19 20
> y
[1] 20 21 22 23 24 25 26 27 28 29 30
cor(x,y) = 1
if we reduce the x variable by 3
then,
> x = x-3
> x
[1] 7 8 9 10 11 12 13 14 15 16 17
then,
cor(x,y) = 1
>>>>>>>>>>>>>>>>> Best Luck >>>>>>>>>>>>>>>>>>
orchestra answered 2 years agoRelated Solutions
1. If there is no correlation between two variables, what is the value of the correlation...
1. If there is no correlation between two variables, what is
the value of the correlation coefficient?
to. -1
b. 0
c. 1
d. -0
2. In a scatter diagram, on which axis is the dependent
variable always recorded?
to. x axis
b. y axis
3. What is the dependent and independent variable?
• time
• quantities produced
Each of the following scenarios describes a correlation between two variables. State whether the correlation is...
Each of the following scenarios describes a correlation
between two variables. State whether the correlation is most likely
due to a coincidence, a common underlying cause, or a direct cause.
If there is an underlying cause, state what you think it is. If you
believe that one variable directly causes the other, suggest
possible physical causation.
1. Sales of winter boots are positively correlated with
the sale of sidewalk salt.
2. I’ve noticed that the more hours I work each...
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...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A 4-year annuity of eight $9,800 semiannual payments will begin 7 years from now, with the...
- Consider the following relation schema about project meetings: PMG(projID, title, type, manager, jobID, start-date, end-date, contractor,...
- Question 3 a) A coil consist of 2000 turns of copper wire having a cross sectional...
- A 66.5-kg person throws a 0.0500-kg snowball forward with a ground speed of 33.5 m/s. A...
- Use starUML to solve the problems.THX Problem Create a domain model for this system. Virtual Safari...
- You are the managing director of a credit card company. Every new sales agent in your...
- Marco Suarez is starting a new job in the Sales and Marketing Department of a financial...
ADVERTISEMENT