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Suppose there is 1 dependent variable (dissolved oxygen, Y) and 3 independent variables (water temp X1, depth X2, and hardness of water X3). Below is the result of the multiple linear regression.Which of the following is NOT true in the multiple linear regression outputs?    In the F-test ANOVA result, if Ho is rejected, this means that the regression model overall predicts the dependent variable significantly well.       If a predictor is having a significant impact on our ability to predict the outcome then the regression coefficient b should be significantly different from 1.0.       The F-test ANOVA assesses all of the regression coefficients jointly whereas the t-test for each coefficient examines them individually.       It is possible that a model is significant, but not enough to conclude that any individual variable is significant.

Suppose there is 1 dependent variable (dissolved oxygen, Y) and 3 independent variables (water temp X1, depth X2, and hardness of water X3). Below is the result of the multiple linear regression.Which of the following is NOT true in the multiple linear regression outputs?    In the F-test ANOVA result, if Ho is rejected, this means that the regression model overall predicts the dependent variable significantly well.       If a predictor is having a significant impact on our ability to predict the outcome then the regression coefficient b should be significantly different from 1.0.       The F-test ANOVA assesses all of the regression coefficients jointly whereas the t-test for each coefficient examines them individually.       It is possible that a model is significant, but not enough to conclude that any individual variable is significant.

MATLAB: An Introduction with Applications
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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Suppose there is 1 dependent variable (dissolved oxygen, Y) and 3 independent variables (water temp X1, depth X2, and hardness of water X3). Below is the result of the multiple linear regression.Which of the following is NOT true in the multiple linear regression outputs? 

 

In the F-test ANOVA result, if Ho is rejected, this means that the regression model overall predicts the dependent variable significantly well.
 
 
 
If a predictor is having a significant impact on our ability to predict the outcome then the regression coefficient b should be significantly different from 1.0.
 
 
 
The F-test ANOVA assesses all of the regression coefficients jointly whereas the t-test for each coefficient examines them individually.
 
 
 
It is possible that a model is significant, but not enough to conclude that any individual variable is significant.
Standard Coefficients Error t Stat p-value Intercept 24.84 4.36 5.69 0.00 Water Temperature (C) -1.17 0.37 -3.20 0.02 Depth (feet) -0.15 0.24 -0.61 0.56 Hardness as mg/L CaCO3 -0.04 0.04 -0.95 0.37
Transcribed Image Text:Standard Coefficients Error t Stat p-value Intercept 24.84 4.36 5.69 0.00 Water Temperature (C) -1.17 0.37 -3.20 0.02 Depth (feet) -0.15 0.24 -0.61 0.56 Hardness as mg/L CaCO3 -0.04 0.04 -0.95 0.37
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