Question
In: Statistics and Probability
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 are significantly related using a t-test on the slope of X. Test this at the 0.05 level.
f.) 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.
Solutions
Expert Solution
Solution: Here the concept of simple linear regression and t test is used.
orchestra answered 2 years agoRelated Solutions
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
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...
Suppose we have the following data on a dependent variable (Y) and an explanatory variable (X):...
Suppose we have the following data on a dependent variable (Y)
and an explanatory variable (X):
X Y
0 140
1 140
4 0
0 180
3 80
2 120
4 0
1 200
2 120
3 40
Calculate the simple linear regression equation by hand. Show
all your work. Using your result, predict the value of Y when X =
3.5. (15 points)
Calculate the R2and the adjusted
R2measures (by hand) and provide an interpretation of
what they tell us. (12 points)
Test (by hand) to see whether this is...
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.
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 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...
1.) Suppose we have the following values for a dependent variable, Y, and three independent variables,...
1.) Suppose we have the following values for a dependent
variable, Y, and three independent variables, X1, X2, and X3. The
variable X3 is a dummy variable where 1 = male and 2 = female:X
X1
X2
X3
Y
0
40
1
30
0
50
0
10
2
20
0
40
2
50
1
50
4
90
0
60
4
60
0
70
4
70
1
80
4
40
1
90
6
40
0
70
6
50
1
90
8...
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...
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