Explain why could or couldn't agree with each of the statements a) Cov(y,x) and Cor(y,x) can...
Explain why could or couldn't agree with each of the statements a) Cov(y,x) and Cor(y,x) can take value between -infinity and +infinity
b)If Cov(y,x)=0 or Cor(y,x)=0 one can conclude that there is no relationship between Y and X
c)the least square line fitted to the points in the scatter plot
of y versus 
has a zero intercept and a unit slope
Homework Answers
a) first statement is wrong because we know that the range of the correlation coefficient is - 1 to 1.
b) the 2nd statement is also wrong because it does not mean there is no relationship between Y and X but it means that there is no linear relationship between Y and X.
c) 3rd statement is also wrong in general it is not necessary to have a unit slope and zero intercept it is only possible if both data is same.
thanks :)
Add Answer to:
Explain why could or couldn't agree with each of the statements
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14. Multiple Choice Variables x and y have a correlation coefficient of r = 0.89. Which...
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An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot
along with the least squares line of x = rainfall volume
(m3) and y = runoff volume (m3) for
a particular location. The accompanying values were read from the
plot.
x
5
12
14
20
23
30
40
51
55
67
72
85
96
112
127
y
4
10
13
15
15
25
27
45
38
46
53
75
82
99
103
(a) Does a scatter plot of the data support the use of...
3. The following questions are related to a simulated data Y. The least square method was...
3. The following questions are related to a simulated data Y. The least square method was used to fit a model of the form Ý, 0 + At + t 1, . .200. The regression output, the ACF plot of the standardized residuals (after regressing Y on time) and the code is below. The code is not needed to answer the question a. Estimate the slope and the intercept of the least regression line for the data. b. What percentage...
An artide gave a scatter plot along with the least squares line of x -rainfall volume (m3) and y ...
An artide gave a scatter plot along with the least squares line of x -rainfall volume (m3) and y runoff volume (m3) for a particular location. The accompanying values were read from the plot. x14 12 14 17 23 30 40 52 55 67 72 85 96 112 127 y14 10 13 15 15 25 27 45 38 46 53 71 82 99 100 (a) Does a scatter plot of the data support the use of the simple linear regression...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. х 4 12 14 17 23 30 40 48 55 67 72 81 96 112 127 y 4 10 13 14 15 25 27 44 38 46 53 70 82 99 104 (a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m2) for a particular location. The accompanying values were read from the plot. x 6 12 14 16 23 30 40 51 55 67 72 84 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 75 82 99 102 (a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall...
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14. Multiple Choice Variables x and y have a correlation coefficient of r = 0.89. Which statement is best? a. There is a strong positive association between x and y and a straight line fit to the data cannot be substantially improved by fitting a curve to the data. b. There is a strong positive association between x and y and a straight line fit to the data can certainly be substantially improved by fitting a curve to the data....
An article gave a scatter plot
along with the least squares line of x = rainfall volume
(m3) and y = runoff volume (m3) for
a particular location. The accompanying values were read from the
plot.
x
5
12
14
20
23
30
40
51
55
67
72
85
96
112
127
y
4
10
13
15
15
25
27
45
38
46
53
75
82
99
103
(a) Does a scatter plot of the data support the use of...
3. The following questions are related to a simulated data Y. The least square method was used to fit a model of the form Ý, 0 + At + t 1, . .200. The regression output, the ACF plot of the standardized residuals (after regressing Y on time) and the code is below. The code is not needed to answer the question a. Estimate the slope and the intercept of the least regression line for the data. b. What percentage...
An artide gave a scatter plot along with the least squares line of x -rainfall volume (m3) and y runoff volume (m3) for a particular location. The accompanying values were read from the plot. x14 12 14 17 23 30 40 52 55 67 72 85 96 112 127 y14 10 13 15 15 25 27 45 38 46 53 71 82 99 100 (a) Does a scatter plot of the data support the use of the simple linear regression...
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An article gave a scatter plot along with the least squares line of x = rainfall volume (mº) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. x 4 12 14 16 23 30 40 51 55 67 72 80 96 112 127 y 4 10 13 46 53 72 82 99 15 15 25 27 44 38 103 in USE SALT (a) Does a scatter plot of the data support...
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