**Multiple Choice**- O Reject the null hypothesis that \( \beta_3 = 0 \).- O Reject the null hypothesis that \( \beta_1 = 0 \).- O Reject the null hypothesis that \( \beta_1 = \beta_2 = \beta_3 = \beta_4 = 0 \).- O Do not reject the null hypothesis that \( \beta_1 = \beta_2 = \beta_3 = \beta_4 = 0 \). **Multiple Regression Model Analysis**Consider the multiple regression model presented here, involving the dependent variable \( Y \) and four independent variables \( X_1, X_2, X_3, \) and \( X_4 \). The resulting function is as follows:\[\hat{Y} = 33 + 8X_1 - 6X_2 + 16X_3 + 18X_4\]For this model, 35 observations were recorded. The sum of squares for regression (SSR) is 1,432, while the sum of squares for error (SSE) is 600. The analysis assumes a significance level of 0.01.Based on the provided information, which of the following conclusions is correct regarding the statistical significance of the overall model?

Solution: Given information: n= 35 observation k = 4 independent variables Sum of square of…

Answered: Consider the multiple regression model…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You may need to use the appropriate technology to answer this question. A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information. ŷ = 0.406 + 1.3385x₁ + 2x₂ The SSE for the above model is 43. When two other independent variables were added to the model, the following information was provided. ŷ = 1.9 - 3x₁ + 12x2 + 4x3 + 8x4 This model's SSE is 36. At a 0.05 level of significance, test to determine if the two added independent variables contribute significantly to the model. State the relevant null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = P₂ = P3 =B4 = 0 B1 O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B₁ = 0 O Ho: B3 = P4 = 0 H₂: None of the parameters are equal to zero. O Ho: B3 B4= = = H₂: One or more of the parameters is not equal to zero. O Ho: P₁ = P₂ = P3= P4= H: One or more of the parameters is not equal to zero. Find…
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