Question
Explain the differences and similarities of correlation analysis and bivariate regression analysis
Explain the differences and similarities of correlation analysis and bivariate regression analysis
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The key advantage of bivariate regression over correlation is
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y=0.631x+48.011y=0.631x+48.011
with a correlation coefficient of r=0.875r=0.875 (which is
significant at α=0.01α=0.01). You want to predict what value (on
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x =
(Report answer accurate to one decimal place.)
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x
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16.1
47.3
10.6
42.8
22.4
50.6
33.3
67.6
47.8
61.1
41.4
62.1
30.2
57.9
30.6
53.6
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19.3
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Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data
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x
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107.8
-31.6
73.5
10.7
102
-13.1
44.7
66.8
89.7
2.9
72.7
46.1
76.4
6.7
76.1
22.6
92.2
-0.7
85.4
11.7
98
-8.2
89.8
1.9
66.2
77.1
80.6
21.3
43.4
92.9
Verify that the correlation is significant at an α=0.05α=0.05.
If the correlation is indeed significant, predict what value (on
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Run a regression analysis on the following bivariate set of data with y as the response...
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74.1
53.3
81.3
65.5
64.4
79
102.4
35.8
73
59.4
45.4
110.1
66.4
84.9
73.8
70
52
97.5
70.2
86.9
91.1
43.3
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Run a regression analysis on the following bivariate set of data with y as the response...
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x
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31
131.5
32.7
88.1
45.9
52.1
51.8
47
65.8
30.1
58.4
36.4
84.5
-92.1
25.3
103.4
49.8
37.5
4.6
127.3
46.6
32.1
75.2
-12.4
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What proportion of the variation in y can be explained by
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48
41.8
39.2
67.4
34.7
68.4
42.9
50.2
49
50.6
45.6
57
58.7
29.7
40.5
68.4
47.4
34.7
45.7
50.9
38.9
47.7
40.9
53.6
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r =
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the variation in the values of x? Report answer as a
percentage...
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