A geomorphologist is building a model to understand variation in the amount of runoff observed in various streams within a large drainage basin. Linear regression is used to determine whether runoff is inversely related to the porosity of the soil. The variables here are thus runoff and porosity. The SPSS output from the analysis is shown above. Use the output to identify what percentage in of the variation in runoff can be explained by variation in porosity?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Model Summary
Adjusted R
Square
Std. Error of
Model
R
R Square
the Estimate
1
.772
.596
.516
215.1509
a. Predictors: (Constant), Porosity
ANOVA
Sum of
Model
Squares
df
Mean Square
Sig.
Regression
341943.282
.042
341943.282
7.387
Residual
231449.575
46289.915
Total
573392.857
a. Dependent Variable: Runoff
b. Predictors: (Constant), Porosity
Coefficients
Standardized
Unstandardized Coefficients
Coefficients
В
Sig.
Model
Std. Error
Beta
t
1
(Constant)
1863.761
237.546
7.846
.001
Porosity
-80.729
29.703
-.772
-2.718
.042
a. Dependent Variable: Runoff
A geomorphologist is building a model to understand variation in the amount of
runoff observed in various streams within a large drainage basin. Linear regression is
used to determine whether runoff is inversely related to the porosity of the soil. The
variables here are thus runoff and porosity. The SPSS output from the analysis is
shown above. Use the output to identify what percentage in of the variation in
runoff can be explained by variation in porosity?
Transcribed Image Text:Model Summary Adjusted R Square Std. Error of Model R R Square the Estimate 1 .772 .596 .516 215.1509 a. Predictors: (Constant), Porosity ANOVA Sum of Model Squares df Mean Square Sig. Regression 341943.282 .042 341943.282 7.387 Residual 231449.575 46289.915 Total 573392.857 a. Dependent Variable: Runoff b. Predictors: (Constant), Porosity Coefficients Standardized Unstandardized Coefficients Coefficients В Sig. Model Std. Error Beta t 1 (Constant) 1863.761 237.546 7.846 .001 Porosity -80.729 29.703 -.772 -2.718 .042 a. Dependent Variable: Runoff A geomorphologist is building a model to understand variation in the amount of runoff observed in various streams within a large drainage basin. Linear regression is used to determine whether runoff is inversely related to the porosity of the soil. The variables here are thus runoff and porosity. The SPSS output from the analysis is shown above. Use the output to identify what percentage in of the variation in runoff can be explained by variation in porosity?
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