Question
In: Statistics and Probability
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.
Solutions
orchestra answered 2 years agoRelated Solutions
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...
Consider the bivariate data: x : 10 , 12 , 14 , 15 , 16 y...
Consider the bivariate data:
x : 10 , 12 , 14 , 15 , 16
y : 8 , 7 , 5 , 4 , 1
Formulate the linear regression formula and estimate the value
of y when x=5
Consider the following sample data: x 22 24 27 21 23 14 14 15 y 101...
Consider the following sample data:
x 22 24 27 21 23 14 14 15
y 101 139 250 88 87 14 16 20
Data is in the spreadsheet.
Use Excel's Regression tool in Data Analysis to find the sample
regression equation for the model: y = β0 + β1x + ε. What is the
coefficient for β0 ? (Enter your answer rounded to 2 decimal
places. If you got 876.36905323 for your answer, you would type
876.37)
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...
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
with y as the response variable.
x
y
15.5
58.8
25.4
62.9
53.7
68.8
46.5
78.6
28.5
57.5
5.7
68.1
-0.4
67.8
43.8
87.7
23.1
64.9
31.3
81.3
48.2
80.1
15.9
71.1
1) Find the correlation coefficient and report it accurate to
three decimal places.
r =
2) What proportion of the variation in y can be
explained by the variation in the values of x? Report
answer as...
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
with y as the response variable.
x
y
81
81.3
92.6
90.8
80.1
94.9
77.8
53.4
89.4
102.9
70.3
38.2
90.2
98
81.4
94.6
94.9
122.4
77.2
42.1
70.6
47.8
71
50.6
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 as a
percentage...
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
with y as the response variable.
x
y
73
16.1
80
14.9
72.5
8.5
55.8
33.6
54.6
23.4
76.6
26.2
74.6
19.1
40.2
40.6
58.7
25.8
Find the correlation coefficient and report it accurate to three
decimal places.
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place. (If the answer...
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
with y as the response variable. x y 26.1 54.3 28.4 42.5 33.8 50.2
63.4 63.3 64.3 79.4 72.5 76.1 46.2 57.4 70.2 82.1 50.5 64.3 55.4
58.8 40.7 48.5 69.4 57.5 40.4 47.8 45.1 60 64 72.5 50.6 56.9 44.2
65.6 Verify that the correlation is significant at an α = 0.05 . If
the correlation is indeed significant, predict what value (on
average) for the explanatory variable...
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
with y as the response variable.
x
y
58.6
56.3
66.3
72.1
54.8
119.2
57.4
83.2
62.8
74.3
77.6
72.2
71.8
62.2
46.4
77.2
77.4
86.6
60.5
78.4
66.4
131.3
76.4
113.5
68.5
84.2
81.5
102
77.5
136.3
49
12.2
Verify that the correlation is significant at an α=0.05. If the
correlation is indeed significant, predict what value (on average)
for the explanatory variable will give you a value...
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
with y as the response variable. x y 37.2 26.9 66.2 41.4 80.9 37.6
83.7 45 55 31.2 46.3 29.1 82 44.1 71.6 36.1 54.7 29.3 56.4 33.8
Predict what value (on average) for the response variable will be
obtained from a value of 45.1 as the explanatory variable. Use a
significance level of α = 0.05 to assess the strength of the linear
correlation. What is the predicted...
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