Question
In: Statistics and Probability
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).
Solutions
orchestra answered 2 years agoRelated Solutions
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 X4 23 14 46 38 5SSE = 6SST = 16The coefficient of correlation is? (Please show
calculations)
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.
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.
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...
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