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 statements is TRUE?    Both intercept and water temperature are the significant predictors of the amount of dissolved oxygen.       If all other predictor variables are held constant, the amount of dissolved oxygen decreases on the average by 0.15 for every 1 unit increase in depth.       Hardness is also a significant predictor of the amount of dissolved oxygen since its coefficient -0.04 is less than 0.05.       The intercept has strong linear relationship with the amount of dissolved oxygen.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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 statements is TRUE? 

 

Both intercept and water temperature are the significant predictors of the amount of dissolved oxygen.
 
 
 
If all other predictor variables are held constant, the amount of dissolved oxygen decreases on the average by 0.15 for every 1 unit increase in depth.
 
 
 
Hardness is also a significant predictor of the amount of dissolved oxygen since its coefficient -0.04 is less than 0.05.
 
 
 
The intercept has strong linear relationship with the amount of dissolved oxygen.
Standard
Coefficients
Error
t Stat
p-value
Intercept
24.84
4.36
5.69
0.00
Wat er 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 Wat er 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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman