Which of the following correctly shows the general form of a multiple regression model? Select one. This image appears to be a multiple-choice question related to linear regression models. It contains four options, each representing a different equation involving regression coefficients and predictors.1. **Option 1:** \[ \hat{Y} = \beta_0 + \beta_1 X_1 + \beta_2 X_2 + \cdots + \beta_n X_n \] This represents a multiple linear regression equation where \(\hat{Y}\) is the predicted value, \(\beta_0\) is the intercept, and \(\beta_1, \beta_2, \ldots, \beta_n\) are the coefficients for the predictors \(X_1, X_2, \ldots, X_n\).2. **Option 2:** \[ \hat{Y} = \beta_0 + \beta_1 X_1 \] This represents a simple linear regression equation with one predictor \(X_1\).3. **Option 3:** \[ \beta_1 X_1 = \hat{Y} + \beta_0 + \beta_2 X_2 + \cdots + \beta_n X_n \] This equation appears to incorrectly rearrange the terms of a regression equation.4. **Option 4 (Selected):** \[ \beta_1 X_1 = \hat{Y} \] This represents a scenario where the predicted value \(\hat{Y}\) is equal to the product of a single coefficient \(\beta_1\) and its predictor \(X_1\). This equation is selected.The image primarily focuses on understanding the structuring of linear regression equations in different forms.

Answered: O Ý = Bo + B,X1 + B2X2 + …·+ BnX,n O Ý…

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O Ý = Bo + B,X1 + B2X2 + …·+ BnX,n O Ý = Bo + B,X1 %3D B,X1 = Ỹ + Bo + B2X2 + …·+ BnXn B,X1 = ŷ

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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