Question
In: Statistics and Probability
The data shown below for the dependent variable, y, and the independent variable, x, have been...
The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling.
|
x |
10 |
13 |
16 |
11 |
20 |
17 |
16 |
13 |
16 |
17 |
|
|---|---|---|---|---|---|---|---|---|---|---|---|
|
y |
90 |
50 |
30 |
80 |
10 |
10 |
40 |
70 |
20 |
30 |
|
a. |
Develop a simple linear regression equation for these data. |
|
b. |
Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination. |
|
c. |
Calculate the standard error of the estimate. |
|
d. |
Calculate the standard error for the regression slope. |
|
e. |
Conduct the hypothesis test to determine whether the regression
slope coefficient is equal to 0. Test using
alpha=0.05. |
Solutions
orchestra answered 2 years agoRelated Solutions
The data shown below for the dependent variable, y, and the independent variable, x, have been...
The data shown below for the dependent variable, y, and the
independent variable, x, have been collected using simple random
sampling. x 10 15 17 11 19 18 17 15 17 18 y 120 150 170 120 170 180
160 140 180 190 a. Develop a simple linear regression equation for
these data. b. Calculate the sum of squared residuals, the total
sum of squares, and the coefficient of determination. c. Calculate
the standard error of the estimate. d. Calculate...
he data shown below for the dependent variable, y, and the independent variable, x, have been...
he data shown below for the dependent variable, y, and the
independent variable, x, have been collected using simple random
sampling.
x
10
14
17
11
19
18
17
14
17
18
y
120
140
190
140
190
180
180
160
170
190
.a.
Develop a simple linear regression equation for these data.
.b.
Calculate the sum of squared residuals, the total sum
ofsquares, and the coefficient of determination.
.c.
Calculate the standard error of the estimate.
.d.
Calculate...
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.
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...
Group A Independent Variable ( X ) Dependent Variable ( Y ) Use of Facebook in...
Group A
Independent Variable ( X )
Dependent Variable ( Y )
Use of Facebook in work time
Performance from 1 - 10
The time is in Minutes
1
= poor 10 = Excellent
45
8
30
8
20
8
30
9
90
7
60
8
50
7
50
8
60
7
30
8
40
8
90
7
60
6
Group B
Independent Variable ( X )
Dependent Variable ( Y )
Use of Facebook in work time
Performance from...
1. If a dependent variable Y and independent variable X have a positive correlation, what can...
1. If a dependent variable Y and independent variable X have a
positive correlation, what can we predict about the sign of the
slope coefficient between X and Y in a simple regression? How about
in a multiple regression?
2. What would you suspect if your multiple regression
t-statistics were all insignificant but the F-statistic was
significant?
3. Suppose you built a 95% confidence interval around a simple
regression slope coefficient and got a lower bound of 5 and an...
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