Question
In: Statistics and Probability
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 not change the evidence regarding a linear correlation.
- Yes. Including the outlier changes the evidence regarding a linear correlation.
Solutions
Expert Solution
1)
| S.No | X | Y | (x-x̅)2 | (y-y̅)2 | (x-x̅)(y-y̅) |
| 1 | 62.8 | 256.5 | 46.0588 | 272205.67 | -3540.8302 |
| 2 | 61.9 | -39.3 | 59.0848 | 51045.87 | -1736.6742 |
| 3 | 47.2 | 765.4 | 501.1628 | 1062205.07 | -23072.4449 |
| 4 | 54.3 | 1350.5 | 233.6822 | 2610594.20 | -24699.1769 |
| 5 | 72.5 | 479.2 | 8.4875 | 554180.99 | 2168.7824 |
| 6 | 84.7 | 2508.9 | 228.4128 | 7695815.75 | 41926.4018 |
| 7 | 43.9 | -2120.9 | 659.8048 | 3443498.78 | 47665.8911 |
| 8 | 54 | -1687.9 | 242.9442 | 2023980.44 | 22174.6311 |
| 9 | 45.6 | 1021.6 | 575.3602 | 1655940.03 | -30866.8422 |
| 10 | 68.5 | 786.7 | 1.1808 | 1106563.74 | -1143.1009 |
| 11 | 34.7 | -4360.1 | 1217.0795 | 16767933.02 | 142856.2484 |
| 12 | 51.3 | -1825.9 | 334.4022 | 2435680.44 | 28539.3911 |
| 13 | 50.7 | -1365.3 | 356.7062 | 1210146.67 | 20776.5924 |
| 14 | 77 | 488.1 | 54.9575 | 567511.11 | 5584.7111 |
| 15 | 234.7 | -236 | 27262.4128 | 854.59 | 4826.8131 |
| Total | 1043.8 | -3978.5 | 31781.7373 | 41458156.37 | 231460.3933 |
| Mean | 69.587 | -265.23 | SSX | SSY | SXY |
| correlation coefficient with the outlier rw= | Sxy/(√Sxx*Syy) = | 0.2016 | |
removing point (234.7 , -236)
| correlation coefficient without the outlier rw= | Sxy/(√Sxx*Syy) = | 0.6930 | |
Yes. Including the outlier changes the evidence regarding a linear correlation.
orchestra answered 2 years agoRelated Solutions
The following bivariate data set contains an outlier. x y 28.5 59.3 -6.4 -356.8 29.7 81.6...
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
-810.6
46.3
-628.5
24.7
1557.2
14.4
394.8
7.8
-1789.2
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 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 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...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A person jumps upward off a diving board at 6.0 m/s and hits the water 2.0...
- Luke and Amy are saving for the down payment on a house. The houses in the...
- PART A A student wants to purchase an investment property that can generate sufficient cash flow...
- Complete the MPS record below for a single item. (Enter your responses as integers. A response...
- We can utilize potentially high bandwidth in one of the two ways: broadband and baseband modes....
- The Pinewood Furniture Company produces chairs and tables from two resources, labor and wood. The company...
- Wasabi Pte Ltd makes separate journal entries for all cost accounting-related activities. It uses a standard...
ADVERTISEMENT