Question
In: Statistics and Probability
The following bivariate data set contains an outlier. x y 44.3 187 58.2 239.6 42 341.2...
The following bivariate data set contains an outlier.
| x | y |
|---|---|
| 44.3 | 187 |
| 58.2 | 239.6 |
| 42 | 341.2 |
| 42.4 | -358.8 |
| 47.9 | -347.1 |
| 47.8 | 103 |
| 55 | 95.5 |
| 47.4 | -146.3 |
| 31.9 | 698.6 |
| 68.2 | -477.3 |
| 52.6 | -363.4 |
| 63.1 | 569.2 |
| 56 | -203.7 |
| 74.8 | 545.3 |
| 203.5 | 4226.3 |
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation?
- Yes. Including the outlier changes the evidence regarding a linear correlation.
- No. Including the outlier does not change the evidence regarding a linear correlation.
what are the steps on how to do it on a TI 84 calculator ?
Solutions
Expert Solution
Solution:
What is the correlation coefficient with the
outlier?
rw = 0.905989
(by using excel or Ti-84)
What is the correlation coefficient without the
outlier?
rwo = -0.03936
(by using excel or Ti-84 )
[Note, for the given data, the outlier observation is given as (203.5, 4226.3). Calculate correlation coefficient by deleting this observation.]
Would inclusion of the outlier change the evidence for or against a significant linear correlation?
- Yes. Including the outlier changes the evidence regarding a linear correlation.
(because as we see, when there is no outlier, there is a very low negative relationship exists; but when outlier exists, then it shows high positive linear relationship. )
Ti-84 steps for finding correlation are given as below:
Press 2nd and then 0, you will enter your calculators catalog.
Scroll down to diagnosticOn.
Press Enter. You will get screen message ‘Done’.
Then Enter data into calculator by pressing STAT and then selecting 1:Edit.
ENTER X data in L1
ENTER Y data in L2
Then, go to STAT, then press CALC
Select 4: LinReg
Press ENTER
You will get the value for correlation coefficient.
orchestra answered 2 years agoRelated Solutions
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The following bivariate data set contains an outlier.
x
y
28.5
59.3
-6.4
-356.8
29.7
81.6
23.9
1298
23.4
1724.5
-11.9
303
12.3
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46.3
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24.7
1557.2
14.4
394.8
7.8
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6
-1949.6
30.8
2369.6
28.5
1974.8
220.9
37.7
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation?
Yes. Including the outlier changes...
The following bivariate data set contains an outlier. x y 47.6 53.7 40.6 112.6 28.9 72.2...
The following bivariate data set contains an outlier.
x
y
47.6
53.7
40.6
112.6
28.9
72.2
36.1
101.1
32.4
112.4
26.8
67.1
36.8
38.9
33.1
70.1
67.5
8.6
43.3
-6.4
50.1
41.3
30.1
3.2
29.8
41.7
55
-32.8
189.6
548.8
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation at 5% significance?
A) No....
The following bivariate data set contains an outlier. x y 89.1 -294.6 75.3 273.5 90.4 -222.1...
The following bivariate data set contains an outlier.
x y
89.1 -294.6
75.3 273.5
90.4 -222.1
79.9 111.5
80.5 685.1
84.7 -193.8
67.6 -259.6
84.5 559.5
73.4 521.2
87.7 -444
91.2 -303.4
87.5 642
72.8 -25.8
67.6 530.6
162 315.7
What is the correlation coefficient with the outlier?
rw =
What is the correlation coefficient without the outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation?
No. Including the outlier does...
The following bivariate data set contains an outlier. x y 12.9 79.8 51.9 77.6 26.3 66.5...
The following bivariate data set contains an outlier.
x
y
12.9
79.8
51.9
77.6
26.3
66.5
-5.1
82.9
47
65.4
19.7
75.9
16.7
78.4
2.1
77.1
21.5
74.5
46.2
57.3
35.1
65.4
83.5
38.9
51.1
61.7
15.2
89.3
349.3
240.5
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation at 5% significance?
No. Including...
the following bivariate data set contains an outlier. x y 27.7 12.9 29 13.9 33.1 7.6...
the following bivariate data set contains an outlier.
x
y
27.7
12.9
29
13.9
33.1
7.6
31.7
48.2
32.3
12.4
31.1
32.9
29
22.4
35.2
29.5
47.2
62.3
31.7
21.9
27.6
20.4
29.2
16.9
37.6
54.2
34.1
27.7
106
-156.5
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
The following bivariate data set contains an outlier. x y 62.8 256.5 61.9 -39.3 47.2 765.4...
The following bivariate data set contains an outlier.
x
y
62.8
256.5
61.9
-39.3
47.2
765.4
54.3
1350.5
72.5
479.2
84.7
2508.9
43.9
-2120.9
54
-1687.9
45.6
1021.6
68.5
786.7
34.7
-4360.1
51.3
-1825.9
50.7
-1365.3
77
488.1
234.7
-236
What is the correlation coefficient with the
outlier?
rw =
What is the correlation coefficient without the
outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a
significant linear correlation?
No. Including the outlier does...
The following bivariate data set contains an outlier. x y 53.3 151.7 37.1 -307.3 44.6 -469.7...
The following bivariate data set contains an outlier.
x
y
53.3
151.7
37.1
-307.3
44.6
-469.7
47
-475.2
68.4
292.5
50.3
383.5
55.7
-1180.8
30.7
223.7
60.6
-600.8
39.9
-152.6
49.3
-335.2
50.1
590.1
54.9
99
63.1
243.5
181.5
-6493.5
What is the correlation coefficient with the
outlier?
rw = (Round to three decimal
places)
What is the correlation coefficient without the
outlier?
rwo = (Round to three decimal
places)
a) Run a regression analysis on the following bivariate set of data with y as the...
a) Run a regression analysis on the following bivariate set of
data with y as the response variable.
x
y
10.7
81.6
13.7
81.5
36.7
56.5
4
72.1
50.7
23.2
47.6
-4.8
37.3
31.9
24.3
75.2
21.5
59.3
17.2
54.6
23.6
75.5
22.2
60.8
29.3
51
14
63.4
0.2
102.7
30.7
48.2
10.3
74.8
26.5
48.2
23.1
87
Verify that the correlation is significant at an ?=0.05?=0.05.
If the correlation is indeed significant, predict what value (on
average) for the...
Calculate the sample covariance of the following bivariate data set. X Y 27 5 15 6...
Calculate the sample covariance of the following bivariate data
set. X Y 27 5 15 6 12 -2 b. Calculate the coefficient of
correlation of the data set. c. Describe in words the information
given to us by the sample covariance and by the sample correlation.
Explain how the correlation gives us more precise information.
8. Run a regression analysis on the following bivariate set of data with y as the...
8. Run a regression analysis on the following bivariate set of
data with y as the response variable.
x
y
27.2
68.2
28.1
66.7
28.7
64.6
30.2
66.4
33.7
69.5
31.8
68.3
30.4
67.8
28.6
65.5
32.5
69.4
34.8
67.9
33.3
67.1
28
66.1
- Find the correlation coefficient and report it accurate to
three decimal places.
r =
- What proportion of the variation in y can be
explained by the variation in the values of x? Report
answer...
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