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.

• A. Linear Regression
• B. Non-Linear Regression
• C. Correlation Regression
• D. Multiple Linear Regression

Hint:

One predictor? Linear Regression. Multiple predictors? Multiple Linear Regression.

Answer 1

The Correct Option is D

In the formula \(y = f(x, \beta)\), the dependent variable \(y\) is determined by independent variables \(x\) via function \(f\) with parameters \(\beta\).
When \(f\) is linear in its parameters and incorporates multiple independent variables, the model is termed Multiple Linear Regression.
Multiple Linear Regression models a single continuous dependent variable against two or more independent variables.
Option (A) Linear Regression typically denotes the univariate case, with a single independent variable.
Option (B) Non-Linear Regression is applicable when the relationship is not linear with respect to the parameters.
Option (C) Correlation Regression is not a recognized term; correlation quantifies association strength and direction, not predictive capability.
Consequently, the accurate classification is Multiple Linear Regression.