Compute the Sum of Squared Residuals
-The Regression Line for the Given

question 63

Multiple Choice

Compute the Sum of Squared Residuals
-The regression line for the given data is $\hat { y } = - 1.885 x + 0.758$ . Determine the residual of a data point for which $x$ $= 4$ and $\mathrm { y } = - 6$ .

• A) \(0.782\)
• B) \(- 12.782\)
• C) \(- 6.782\)
• D) \(- 8.068\)

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Definitions:

Dummy Variable

A binary variable used in regression models to represent categorical data by encoding categories as 0 or 1.

Indicator Variable

A variable that takes the value of 1 if a certain condition is true and 0 if it is not.

Dependent Variable

The variable in an experiment or study that is expected to change in response to changes in the independent variable.

Stepwise Regression

A method of fitting regression models in which predictors are added or removed based on specific criteria, such as their statistical significance.