Question
In: Statistics and Probability
The following output was obtained from a regression analysis of the dependent variable Rating and an...
- The following output was obtained from a regression analysis of
the dependent variable Rating and an independent variable Price.
(10 points)
|
ANOVA |
||||
|
df |
SS |
MS |
F |
|
|
Regression |
1 |
372.707 |
372.707 |
42.927 |
|
Residual |
15 |
130.234 |
8.682 |
|
|
Total |
16 |
502.941 |
||
|
Coefficients |
Standard Error |
t Stat |
P-value |
|
|
Intercept |
45.623 |
3.630 |
12.569 |
0.000 |
|
Price |
0.107 |
0.016 |
6.552 |
0.000 |
- Use the critical value approach to perform an F test for the significance of the linear relationship between Rating and Price at the 0.05 level of significance.
- Calculate the coefficient of determination.
- What percentage of the variability of Rating can be explained by its linear relationship with Price? What is the sample correlation coefficient?
- What is the estimated regression equation?
- Use the p-value approach to perform a t test for the significance of the linear relationship between Price and Rating at the 0.05 level of significance.
Solutions
orchestra answered 3 years agoRelated Solutions
PART B The following output was obtained from a regression analysis of the dependent variable Rating...
PART
B
The following output was obtained from a regression analysis of
the dependent
variable Rating and an independent
variable Price. (10 points)
ANOVA
df
SS
MS
F
Regression
1
372.707
372.707 42.927
Residual
15
130.234
8.682
Total
16
502.941
Coefficients
Standard
Error
t Stat
P-value
Intercept
45.623
3.630
12.569 0.000
Price
0.107
0.016
6.552 0.000
Use the critical value approach to perform an F test for the
significance of the linear relationship between Rating and Price at
the 0.05...
The following output was obtained from a regression analysis of the dependent variable Sales volume and...
The following output was obtained from a regression analysis of
the dependent variable Sales volume and an independent variable
“location distance from the downtown
branch.
ANOVA
df
SS
MS
F
Regression
2
552.137
267.069
24.235
Residual
10
110.22
11.02
Total
12
662.357
Coefficients
Standard Error
t Stat
P-value
Intercept
-38.623
3.630
12.569
0.000
Location distance
0.309
0.016
6.552
0.000
Calculate and interpret the correlation coefficient. What does
it tell us? (1.5 marks)
Calculate and interpret the coefficient of determination. (1.5...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.617
2.998
2.541
0.010
x1
0.224
0.069
3.246
0.000
x2
?
1.144
0.559
?
2.047
0.028
x3
?
0.071
0.120
?
0.592
0.114
x4
0.675
0.354
1.907
0.001
x5
?
0.057
0.025
?
2.280
0.112
Analysis of
Variance
Source
DF
SS
MS
F
p-value
Regression
5
2,113.40
422.7...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.617
2.998
2.541
0.010
x1
0.224
0.069
3.246
0.000
x2
?
1.144
0.559
?
2.047
0.028
x3
?
0.071
0.120
?
0.592
0.114
x4
0.675
0.354
1.907
0.001
x5
?
0.057
0.025
?
2.280
0.112
Analysis of
Variance
Source
DF
SS
MS
F
p-value
Regression
5
2,113.40
422.7...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.131
3.085
2.312
0.010
x1
0.203
0.170
1.194
0.000
x2
−
1.176
0.553
−
2.127
0.028
x3
−
0.089
0.311
−
0.286
0.114
x4
0.682
0.381
1.790
0.001
x5
−
0.030
0.025
−
1.200
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,946.79
389.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE
T
P-vaule
Constant
7.096
3.245
2.187
0.010
x1
0.222
0.117
1.897
0.000
x2
-1.024
0.562
-1.822
0.028
x3
-0.337
0.192
-1.755
0.114
x4
0.623
0.263
2.369
0.001
x5
-0.056
0.029
-2.000
0.112
Analysis of Variance
Source
DF
SS
MS
F
P-Value
Regression
5
2009.28
401.9
7.33
0.000
Residual Error
50
2741.54
54.83...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.166
3.075
2.330
0.010
x1
0.228
0.302
0.755
0.000
x2
−
1.184
0.586
−
2.020
0.028
x3
−
0.193
0.110
−
1.755
0.114
x4
0.572
0.293
1.952
0.001
x5
−
0.056
0.022
−
2.545
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,847.24
369.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.166
3.075
2.330
0.010
x1
0.228
0.302
0.755
0.000
x2
−
1.184
0.586
−
2.020
0.028
x3
−
0.193
0.110
−
1.755
0.114
x4
0.572
0.293
1.952
0.001
x5
−
0.056
0.022
−
2.545
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,847.24
369.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coefficient
SE Coefficient
t
p-value
Constant
7.131
3.085
2.312
0.010
x1
0.203
0.170
1.194
0.000
x2
−
1.176
0.553
−
2.127
0.028
x3
−
0.089
0.311
−
0.286
0.114
x4
0.682
0.381
1.790
0.001
x5
−
0.030
0.025
−
1.200
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
1,946.79
389.4...
The following regression output was obtained from a study of architectural firms. The dependent variable is...
The following regression output was obtained from a study of
architectural firms. The dependent variable is the total amount of
fees in millions of dollars.
Predictor
Coef
SE Coef
T
Constant
10.237
3.447
2.97
X1
0.392
-0.209
-1.88
X2
-0.392
-0.099
3.96
X3
0.207
-0.110
-1.88
X4
0.794
0.201
3.95
X5
-0.335
-0.126
2.66
Analysis of Variance
Source
DF
SS
MS
F
Regression
5
3710.00
742.00
15.14
Residual Error
48
2647.38
57.55
Total
53
6357.38
X1...
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