Problem set 2. A. Use the dataset below to run a regression where x1 and x2 are
ID: 1139370 • Letter: P
Question
Problem set 2.
A. Use the dataset below to run a regression where x1 and x2 are the independent variables and y is the dependent variable.
What is the coefficient of determination (R-squared) for this regression?
Round your answer to four decimal places.
B. Use the dataset below to run a regression where x1 and x2 are the independent variables and y is the dependent variable.
What is the adjusted coefficient of determination (Adj. R-squared) for this regression?
Round your answer to four decimal places.
C. Use the dataset below to run a regression where x1 and x2 are the independent variables and y is the dependent variable.
What is the F-Statistic for this regression?
Round your answer to four decimal places.
y x1 x2 47 1 8 25 10 10 49 8 3 45 2 5 64 6 7Explanation / Answer
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.567193245
R Square
0.321708177
Adjusted R Square
-0.356583645
Standard Error
16.22273797
Observations
5
ANOVA
df
SS
MS
F
Significance F
Regression
2
249.6455
124.8228
0.474292
0.67829182
Residual
2
526.3545
263.1772
Total
4
776
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
66.83150442
22.8264
2.927817
0.099543
-31.3825483
165.0456
-31.3825
165.0456
x1
-1.114572271
2.12927
-0.52345
0.652878
-10.2760815
8.046937
-10.2761
8.046937
x2
-2.244365782
3.031797
-0.74028
0.53624
-15.2891365
10.8004
-15.2891
10.8004
The following are the regression result for y on x1 and x2.
A)The coefficient of determination (R2) is 0.3217
B) Adjusted R2 = -0.3566
C) F-statistic = 0.4743.
*Please upvote if possible.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.567193245
R Square
0.321708177
Adjusted R Square
-0.356583645
Standard Error
16.22273797
Observations
5
ANOVA
df
SS
MS
F
Significance F
Regression
2
249.6455
124.8228
0.474292
0.67829182
Residual
2
526.3545
263.1772
Total
4
776
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
66.83150442
22.8264
2.927817
0.099543
-31.3825483
165.0456
-31.3825
165.0456
x1
-1.114572271
2.12927
-0.52345
0.652878
-10.2760815
8.046937
-10.2761
8.046937
x2
-2.244365782
3.031797
-0.74028
0.53624
-15.2891365
10.8004
-15.2891
10.8004
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