Math Problem Statement
Suppose a multiple regression model is fitted into a variable called model. Which Python method below returns fitted values for a data set based on a multiple regression model? Select one.
Question 1 options:
model.values
model.fittedvalues
values.model
fittedvalues.model
Solution
The correct method to return fitted values for a data set based on a multiple regression model in Python is:
model.fittedvalues
Explanation:
model.fittedvalues
: This method retrieves the fitted (or predicted) values from the regression model for the dataset used to train the model.- The other options, such as
model.values
,values.model
, andfittedvalues.model
, are incorrect because they do not correspond to standard attributes or methods used in Python regression libraries likestatsmodels
.
Would you like further clarification or an example of how to use model.fittedvalues
?
Related Questions:
- What is the difference between fitted values and residuals in regression analysis?
- How can you compute predicted values for a new dataset in Python?
- What are other important attributes or methods available in regression models (e.g.,
model.summary()
)? - Can you explain the difference between
model.params
andmodel.fittedvalues
? - How would you interpret the output of
model.fittedvalues
in a practical regression problem?
Tip:
When working with regression models in Python, always consult the official documentation (e.g., for statsmodels
or sklearn
) to understand available methods and attributes.
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Math Problem Analysis
Mathematical Concepts
Regression Analysis
Fitted Values
Formulas
Ŷ = Xβ (Fitted values in regression)
Residuals = Actual - Fitted
Theorems
Least Squares Estimation
Suitable Grade Level
Undergraduate (Statistics or Data Science)
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