Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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import pandas as pd
import statsmodels.formula.api as sm
import matplotlib.pyplot as plt
X1 = np.random.normal (0, 1, 100)
X2 =
X1 + 3
Y
= X1 + X2 + np.random.normal(0, 1, 100)
df = pd.DataFrame ({"Y": Y, "X1": X1, "X2": X2})
linmodel = sm.ols(formula
"Y
X1 + X2",
data
df).fit()
linmodel.summary()
Output:
Intercept
-0.0272
X1
1.1074
X2
1.0257
Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The smallest eigenvalue is 3.27e-31. This might indicate that there are
strong multicollinearity problems or that the design matrix is singular.
Which of the following statements are correct?
a) Perfectly correlated regressors X1 and x2 are used.
b) Either X1 or X2 should be excluded, as the second regressor does not add any information to the model.
6.
c) The second warning indicates that the model fit to the data is perfect.
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Transcribed Image Text:import pandas as pd import statsmodels.formula.api as sm import matplotlib.pyplot as plt X1 = np.random.normal (0, 1, 100) X2 = X1 + 3 Y = X1 + X2 + np.random.normal(0, 1, 100) df = pd.DataFrame ({"Y": Y, "X1": X1, "X2": X2}) linmodel = sm.ols(formula "Y X1 + X2", data df).fit() linmodel.summary() Output: Intercept -0.0272 X1 1.1074 X2 1.0257 Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. [2] The smallest eigenvalue is 3.27e-31. This might indicate that there are strong multicollinearity problems or that the design matrix is singular. Which of the following statements are correct? a) Perfectly correlated regressors X1 and x2 are used. b) Either X1 or X2 should be excluded, as the second regressor does not add any information to the model. 6. c) The second warning indicates that the model fit to the data is perfect.
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