Source Value Std Err P_value Intercept -2.144 1.594 -1.345 0.161 20.737 0.374 55.447 <0.0001 -1.043 0.018 -57.944 <0.0001 After running an simple linear regression between Y and X, the researcher suspected there was a non linear relationship between the two variables. They modified their model and got the results shown above. (X2 is X²) What is the correct interpretation? Y decreases by 1.043 each time X increases by 1 and increases by 20.737 cach time X² increases by 1. Y initially increases by 20.737 for a unit increase in X but that increase decreases by 1.043 for each unit increase in X. Y initially increases by 20.737 for a unit increase in X but that increase decreases by 2.086 for cach unit increase in X. Y initially decreases by 1.043 for a unit increase in X but that decrease decreases by 20.737 for each unit increase in X.

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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Question
Source
Value
Std Err
P_value
Intercept
-2.144
1.594
-1.345
0.161
20.737
0.374
55.447
<0.0001
X2
-1.043
0.018
-57.944
<0.0001
After running an simple linear regression between Y and X, the researcher suspected there was a non linear relationship
between the two variables. They modified their model and got the results shown above. (X2 is X2) What is the correct
interpretation?
Y decreases by 1.043 each time X increases by 1 and increases by 20.737 each time X? increases by 1.
Y initially increases by 20.737 for a unit increase in X but that increase decreases by 1.043 for each unit increase in X.
Y initially increases by 20.737 for a unit increase in X but that increase decreases by 2.086 for each unit increase in X.
Y initially decreases by 1.043 for a unit increase in X but that decrease decreases by 20.737 for each unit increase in X.
Transcribed Image Text:Source Value Std Err P_value Intercept -2.144 1.594 -1.345 0.161 20.737 0.374 55.447 <0.0001 X2 -1.043 0.018 -57.944 <0.0001 After running an simple linear regression between Y and X, the researcher suspected there was a non linear relationship between the two variables. They modified their model and got the results shown above. (X2 is X2) What is the correct interpretation? Y decreases by 1.043 each time X increases by 1 and increases by 20.737 each time X? increases by 1. Y initially increases by 20.737 for a unit increase in X but that increase decreases by 1.043 for each unit increase in X. Y initially increases by 20.737 for a unit increase in X but that increase decreases by 2.086 for each unit increase in X. Y initially decreases by 1.043 for a unit increase in X but that decrease decreases by 20.737 for each unit increase in X.
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