Question:

Consider the formula given below:
y ~ f(x, β)
where x is a vector of independent variables and y is the dependent variable.
Identify the type of regression from the following.

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One predictor? Linear Regression. Multiple predictors? Multiple Linear Regression.
  • Linear Regression
  • Non-Linear Regression
  • Correlation Regression
  • Multiple Linear Regression
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The Correct Option is D

Solution and Explanation

In the given formula, y depends on multiple independent variables x through a function f with parameters β.
When the function f is linear in parameters and involves multiple independent variables, it is called Multiple Linear Regression.
Multiple Linear Regression models the relationship between one continuous dependent variable and two or more independent variables.
Option (A) Linear Regression generally refers to the simple case with only one independent variable.
Option (B) Non-Linear Regression applies when the relationship is not linear in parameters.
Option (C) Correlation Regression is not a standard term — correlation measures strength and direction, not prediction.
Therefore, the correct answer is Multiple Linear Regression.
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