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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
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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 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
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