Let r be the correlation coefficient. Denote the explanatory variable by X and the responsible variable...
Let r be the correlation coefficient. Denote the explanatory variable by X and the responsible variable by Y . Which statement is correct ?
(A) Positive r indicates a perfect linear relationship between X and Y .
(B) r is always a number between 0 and 1.
(C) r is almost 0 if values of X’s and Y ’s are all positive.
(D) The correlation of variables −X and Y is −r.
(E) None of the above.
Homework Answers
option D is correct , as if we change the sign of 1 variable , change of correlation coeffiicient also changed
(D) The correlation of variables −X and Y is −r.
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Let r be the correlation coefficient. Denote the explanatory
variable by X and the responsible variable...
The correlation coefficient is a summary measure that Select one: a. is of limited use because...
The correlation coefficient is a summary measure that Select one: a. is of limited use because it fails to indicate the direction of the relationship between the variables. b. indicates the change in Y for a one unit change in X. c. indicates the strength of linear relationship between a pair of quantitative variables. d. indicates the proportion of variation in Y that is explained by the variation in X. e. none of the above. In regression analysis, the F...
1. Match the correlation coefficient to its variable. Population Correlation (choose below) a. c b. p...
1. Match the correlation coefficient to its variable.
Population Correlation (choose below)
a. c
b. p (Greek rho)
c. r
d.R
c. Greek alpha
Sample Correlation (choose below)
a. c
b. p (Greek rho)
c. r
d.R
c. Greek alpha
Question 7 1 pts Which of the correlation values represent a perfect linear relationship between x and y? 0-1 O1 0.05 100
If a correlation coefficient is 0.80, then: O A. The explanatory variable is usually less than...
If a correlation coefficient is 0.80, then: O A. The explanatory variable is usually less than the response variable. O B. The explanatory variable is usually more than the response variable O C. Below average values of the explanatory variable are more often associated with below-average values of the response variable. O D. Below average values of the explanatory variable are more often associated with above-average values of the response variable. O E. None of the statements are correct.
The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is...
The following information
regarding a dependent variable (Y in $1000) and an independent
variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is...
The following information regarding a dependent variable (Y in
$1000) and an independent variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient...
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r = -.15 2. r = 0 3. r = 1 4. r = -97 A. a strong negative relationship between x and y B. no relationship between x andy C. a weak negative relationship between x and y D. a perfect positive relationship between x and y Note: You can earn partial credit on...
9-3 74 4. l point) Caleulate the correlation coefficient r. This table is intended to help...
9-3 74 4. l point) Caleulate the correlation coefficient r. This table is intended to help you set up the caleulation the correlation coefficient by hand. If you'd like to use your T1-34 instead go for it Column A:Colume B: The x deviations from The y deviations from the mean: (x,-x)the mean: -y B: Multiply the values in the Columas A and B. The product of the deviations. 3.5-7.65- 4.15 62-7.65 =-1.45 9.5-7.65-1.85 11.4-7.65 3.75 Sum the above rows for...
What does a correlation coefficient of 0 indicate? Choose the correct answer below. O A. There...
What does a correlation coefficient of 0 indicate? Choose the correct answer below. O A. There is no linear relationship between the two quantitative variables. O B. There is a weak relationship between the two quantitative variables. O C. It indicates a calculation error, as the correlation coefficient cannot be 0. O D. There is a strong relationship between the two quantitative variables. O E. It indicates a non-linear relationship between the two quantitative variables.
. point) Caleulate the correlation coefficient r. This table is intended to help you set up...
. point) Caleulate the correlation coefficient r. This table is intended to help you set up the for the eorrelation coefficient by hand. If you'd like to use your T1-84 instead go for it! Column B The y deviations from the mean: O1-y) Multiply the values in the Columns A and B. The product of the deviations. Column A: the mean: (XI-X) 3.5-7.65-4.15 62-7.65 =-1.45 9.5-7.65-1.85 11.4-7.65 3.75 The x deviations from | Sum the above rows for Now to...
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate...
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate +tx and the actual data Y where ε is the random error between the fitted model f by Y write the linear equation P=" dr-h Predict the value of P when x = 8 c. d.
2. Let the following data be given where X...
1. Match the correlation coefficient to its variable.
Population Correlation (choose below)
a. c
b. p (Greek rho)
c. r
d.R
c. Greek alpha
Sample Correlation (choose below)
a. c
b. p (Greek rho)
c. r
d.R
c. Greek alpha
Question 7 1 pts Which of the correlation values represent a perfect linear relationship between x and y? 0-1 O1 0.05 100
If a correlation coefficient is 0.80, then: O A. The explanatory variable is usually less than the response variable. O B. The explanatory variable is usually more than the response variable O C. Below average values of the explanatory variable are more often associated with below-average values of the response variable. O D. Below average values of the explanatory variable are more often associated with above-average values of the response variable. O E. None of the statements are correct.
The following information
regarding a dependent variable (Y in $1000) and an independent
variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
The following information regarding a dependent variable (Y in
$1000) and an independent variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r = -.15 2. r = 0 3. r = 1 4. r = -97 A. a strong negative relationship between x and y B. no relationship between x andy C. a weak negative relationship between x and y D. a perfect positive relationship between x and y Note: You can earn partial credit on...
9-3 74 4. l point) Caleulate the correlation coefficient r. This table is intended to help you set up the caleulation the correlation coefficient by hand. If you'd like to use your T1-34 instead go for it Column A:Colume B: The x deviations from The y deviations from the mean: (x,-x)the mean: -y B: Multiply the values in the Columas A and B. The product of the deviations. 3.5-7.65- 4.15 62-7.65 =-1.45 9.5-7.65-1.85 11.4-7.65 3.75 Sum the above rows for...
What does a correlation coefficient of 0 indicate? Choose the correct answer below. O A. There is no linear relationship between the two quantitative variables. O B. There is a weak relationship between the two quantitative variables. O C. It indicates a calculation error, as the correlation coefficient cannot be 0. O D. There is a strong relationship between the two quantitative variables. O E. It indicates a non-linear relationship between the two quantitative variables.
. point) Caleulate the correlation coefficient r. This table is intended to help you set up the for the eorrelation coefficient by hand. If you'd like to use your T1-84 instead go for it! Column B The y deviations from the mean: O1-y) Multiply the values in the Columns A and B. The product of the deviations. Column A: the mean: (XI-X) 3.5-7.65-4.15 62-7.65 =-1.45 9.5-7.65-1.85 11.4-7.65 3.75 The x deviations from | Sum the above rows for Now to...
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate +tx and the actual data Y where ε is the random error between the fitted model f by Y write the linear equation P=" dr-h Predict the value of P when x = 8 c. d.
2. Let the following data be given where X...
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