Question
In: Statistics and Probability
The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
Y X
4 2
3 1
4 4
6 3
8 5
SSE = 6
SST = 16
The coefficient of correlation is? (Please show calculations)
Solutions
Expert Solution
| X | Y | XY | X^2 | Y^2 |
| 4 | 2 | 8 | 16 | 4 |
| 3 | 1 | 3 | 9 | 1 |
| 4 | 4 | 16 | 16 | 16 |
| 6 | 3 | 18 | 36 | 9 |
| 8 | 5 | 40 | 64 | 25 |
| n | 5 |
| sum(XY) | 85.00 |
| sum(X) | 25.00 |
| sum(Y) | 15.00 |
| sum(X^2) | 141.00 |
| sum(Y^2) | 55.00 |
| Numerator | 50.00 |
| Denominator | 63.25 |
| r | 0.7906 |
| r square | 0.6250 |
| Xbar(mean) | 5.0000 |
| Ybar(mean) | 3.0000 |
| SD(X) | 1.7889 |
| SD(Y) | 1.4142 |
| b | 0.6250 |
| a | -0.1250 |
The coefficient of correlation is 0.7906
orchestra answered 3 years agoRelated Solutions
The following information regarding a dependent variable (y) and an independent variable (x) is provided. y&nb
The following information regarding a dependent variable
(y) and an independent variable (x) is
provided.
y x
2 9
4 7
5 6
5 4
7 5
8 1
Determine the least squares estimate of the
y-intercept, slope, and coefficient of determination
(?2).
Simple Linear The following information regarding a dependent variable (Y) and an independent variable (X) is...
Simple Linear The following information regarding a dependent
variable (Y) and an independent variable (X) is provided.
Y 4,5,9,12,14
X 8,5,3,2,1
a. For the above observations, plot a scatter diagram and
indicate what kind of relationship (if any) exist between x and
y
. b. Find the estimate simple linear relationship between x and
y
c. Find MSE
d. Find the coefficient of determination
e. Find and interpret the correlation coefficient
f. Use the F statistic to test for any...
You are given the following information about y and x: y x Dependent Variable Independent Variable...
You are given the following information about y and
x:
y
x
Dependent Variable
Independent Variable
5
15
7
12
9
10
11
7
Calculate the value of SSR, using the
formula.
Fill in the blanks with whether the variable is “independent” or ‘dependent”. A scientist studies the...
Fill in the blanks with whether the variable is
“independent” or ‘dependent”.
A scientist studies the impact of a drug on cancer. The
___________ variables are the administration of the drug - the
dosage and the timing. The ____________ variable is the impact the
drug has on cancer.
A scientist studies the impact of withholding affection on rats.
The ____________ variable is the amount of affection. The
____________ variable is the reaction of the rats.
A scientist studies how many...
Suppose we have the following data on variable X (independent) and variable Y (dependent): X Y...
Suppose we have the following data on variable X (independent)
and variable Y (dependent):
X
Y
2
70
0
70
4
130
a.) By hand, determine the simple regression equation relating Y
and X.
b.) Calculate the R-Square measure and interpret the result.
c.) Calculate the adjusted R-Square.
d.) Test to see whether X and Y are significantly related using
a test on the population correlation. Test this at the 0.05
level.
e.) Test to see whether X and Y...
Suppose we have the following data on variable X (independent) and variable Y (dependent): X Y...
Suppose we have the following data on variable X (independent)
and variable Y (dependent):
X Y
2 70
0 70
4 130
Test to see whether X and Y are significantly related using a
t-test on the slope of X. Test this at the 0.05 level.
Test to see whether X and Y are significantly related using an
F-test on the slope of X. Test this at the 0.05 level.
Suppose we have the following data on variable X (independent) and variable Y (dependent): X Y...
Suppose we have the following data on variable X (independent)
and variable Y (dependent):
X
Y
2
70
0
70
4
130
a.) By hand, determine the simple regression equation relating Y
and X.
b.) Calculate the R-Square measure and interpret the result.
c.) Calculate the adjusted R-Square.
d.) Test to see whether X and Y are significantly related using
a test on the population correlation. Test this at the 0.05
level.
e.) Test to see whether X and Y...
Suppose we have the following data on variable X (independent) and variable Y (dependent): X Y...
Suppose we have the following data on variable X (independent)
and variable Y (dependent):
X Y
2 70
0 70
4 130
By hand, determine the simple regression equation relating Y
and X.
Calculate the R-Square measure and interpret the result.
Calculate the adjusted R-Square.
Test to see whether X and Y are significantly related using a
test on the population correlation. Test this at the 0.05
level.
Test to see whether X and Y are significantly related using a...
Suppose we have the following data on variable X (independent) and variable Y (dependent): X Y...
Suppose we have the following data on variable X (independent)
and variable Y (dependent):
X
Y
2
70
0
70
4
130
(SOLVE ALL BY HAND, NOT BY USING EXCEL)
By hand, determine the simple regression equation relating Y
and X.
Calculate the R-Square measure and interpret the result.
Calculate the adjusted R-Square.
Test to see whether X and Y are significantly related using a
test on the population correlation. Test this at the 0.05
level.
Test to see whether...
The following data for the dependent variable, y, and the independent variable, x, have been collected...
The following data for the dependent variable, y, and the
independent variable, x, have been collected using simple random
sampling:
X
Y
10
120
14
130
16
170
12
150
20
200
18
180
16
190
14
150
16
160
18
200
Construct a scatter plot for these data. Based on the scatter
plot, how would you describe the relationship between the two
variables?
Compute the correlation coefficient.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 3. The following data have been estimated for two mutually exclusive investment alternatives, A and B,...
- Church Company completes these transactions and events during March of the current year (terms for all...
- Question # 5. a. Pretty Good Privacy (PGP) is broadly used to secure email communication. Explain...
- The correlation between X and Y ______________. Question options: measures the variation around the predicted regression...
- Will iron(III) hydroxide precipitate from a pH = 1.00 solution with [Fe3+] = 1.0 x 10-5?...
- What do you believe happens during the final scene of the story between the brothers at....
- A 5.171 g sample of a solid, weak, monoprotic acid is used to make a 100.0...
ADVERTISEMENT