Question
In: Statistics and Probability
Compute the sample correlation coefficient r for each of the following data sets. (Use 3 decimal...
Compute the sample correlation coefficient
r for each of the following data sets.
(Use 3 decimal places.)
| (a) | x | 5 | 8 | 9 |
| y | 2 | 2 | 5 |
| (b) | x | 2 | 2 | 5 |
| y | 5 | 8 | 9 |
| r(a) = | |
| r(b) = |
| x | 2 | 1 | 2 | 4 | 3 |
| y | 5 | 10 | 9 | 15 | 10 |
(a) Find the linear correlation coefficient r.
Solutions
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orchestra answered 3 years agoRelated Solutions
(c) Compute the sample correlation coefficient r for each of the following data sets and show...
(c) Compute the sample correlation coefficient r for each of the
following data sets and show that r is the same for both. (Use 3
decimal places.) (i) x 6 1 9 y 4 2 5
(ii)x 4 2 5 y6 1 9
Determine the value of the coefficient of correlation, r, for the following data. X 3 6...
Determine the value of the coefficient of correlation,
r, for the following data.
X
3
6
7
11
13
17
21
Y
18
13
13
8
7
7
5
(Round the intermediate values to 3 decimal places.
Round your answer to 3 decimal places.)
r =
Use the following data to calculate and record the correlation coefficient, r. Height (in.) Foot Length...
Use the following data to calculate and record the correlation
coefficient, r.
Height (in.)
Foot Length (in.)
63
10
66
12
62.5
9.4
74
10.5
70
11.3
72
11.3
71
12.5
64
9.1
72
10.9
71
10
74
12.1
67
10
69
11.1
65
9.6
62.8
9
72
11.3
68.8
10.5
69
10
65.3
9
53
7
71
10.3
74
11.7
70
10
72
10.6
72.5
12.8
67
9.5
69
10.9
74
11.6
68
9
70.1
10.1
62
8
77...
Find the value of the linear correlation coefficient r. Round to 3 decimal places. Table 2...
Find the value of the linear correlation coefficient r. Round to
3 decimal places.
Table 2
x
17
20.6
21.4
34
47
25
26
y
12
19
10
17
18
17
16
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation
coefficient. (a) In the formula for r, if we exchange the symbols x
and y, do we get a different result or do we get the same
(equivalent) result? Explain your answer. The result is the same
because the formula is dependent on the symbols. The result is
different because the formula is not dependent on the symbols. The
result is the same because the formula is not dependent on the...
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r...
(a) Suppose n = 6 and the sample correlation
coefficient is r = 0.888. Is r significant at the
1% level of significance (based on a two-tailed test)? (Round your
answers to three decimal places.)
t
=
critical t
=
Conclusion:
Yes, the correlation coefficient ? is significantly
different from 0 at the 0.01 level of significance.
No, the correlation coefficient ? is not significantly
different from 0 at the 0.01 level of significance.
(b) Suppose n = 10...
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation
coefficient. (a) In the formula for r, if we exchange the symbols x
and y, do we get a different result or do we get the same
(equivalent) result? Explain your answer. The result is the same
because the formula is not dependent on the symbols. The result is
the same because the formula is dependent on the symbols. The
result is different because the formula is dependent on the
symbols....
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation
coefficient. (a) In the formula for r, if we exchange the symbols x
and y, do we get a different result or do we get the same
(equivalent) result? Explain your answer. The result is the same
because the formula is dependent on the symbols. The result is the
same because the formula is not dependent on the symbols. The
result is different because the formula is not dependent on the...
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.882. Is r...
(a) Suppose n = 6 and the sample correlation
coefficient is r = 0.882. Is r significant at the
1% level of significance (based on a two-tailed test)? (Round your
answers to three decimal places.)
t
=
critical t
=
Conclusion:
Yes, the correlation coefficient ρ is significantly
different from 0 at the 0.01 level of significance.
No, the correlation coefficient ρ is not significantly
different from 0 at the 0.01 level of
significance.
(b) Suppose n = 10 and...
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation
coefficient.
(a) In the formula for r, if we exchange the symbols x and y, do we
get a different result or do we get the same (equivalent) result?
Explain your answer.
The result is the same because the formula is not dependent on the
symbols.
The result is different because the formula is not dependent on the
symbols.
The result is different because the formula is dependent on the
symbols....
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