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national multiple family submetering and allocation billing program ...

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the model was based. A model with a perfect fit would have an R 2 value of 1.0. The P-value for<br />

the model itself is 0.00 indicating that whatever fit does exist is statistically significant at the<br />

95% confidence level.<br />

Table ES.1.6 Model #2 summary statistics, coefficient of determination, <strong>and</strong> significance<br />

Adjusted R Std. Error of Degrees of<br />

R R Square<br />

F P-value<br />

Square the Estimate Freedom<br />

0.502 0.252 0.245 21.39659 952 35.366 0.000<br />

Predictors: (Constant), <strong>submetering</strong>, rental property (compared to non-rental property), play area, cooling tower, is<br />

the property considered a senior citizen/retirement community, average price utility charges for water <strong>and</strong><br />

wastewater, RUBS, property built before 1995 (compared to properties built 1995 or later), average number of<br />

bedrooms per unit<br />

Dependent Variable: Indoor water use per unit (average 2001, 2002)<br />

The coefficients presented in Table ES.1.7 present the magnitude of the “effect” of the<br />

different independent variables in the model. The coefficients are additive, <strong>and</strong> details about<br />

how to formulate the generic equation from these coefficients are found in the body of the report.<br />

Of particular interest are the coefficients for RUBS <strong>and</strong> <strong>submetering</strong>. In Model #2, eight of the<br />

nine independent variables were statistically significant. The only factor that wasn’t statistically<br />

significant was RUBS. The B coefficient shows the magnitude of the effect, <strong>and</strong> is graphically<br />

displayed in Figure ES.1.1 <strong>and</strong> Figure ES.1.2. For <strong>submetering</strong> the B coefficient was –7.96<br />

indicating that submetered properties used 7.96 kgal per unit less water than in-rent properties<br />

after adjusting the other significant independent variables. This effect was statistically<br />

significant at the 95% confidence level.<br />

The B coefficient is a measure of the effect of each factor in the model. It is worth noting<br />

that three factors in this model were found to be more significant influences on multi-<strong>family</strong><br />

water use than <strong>submetering</strong>. These are: (1) whether the property was built before 1995; (2)<br />

whether the property has a cooling tower; <strong>and</strong> (3) the average number of bedrooms per unit.<br />

Another three factors were found to have an influence on water use with similar<br />

magnitude to <strong>submetering</strong>. These are: (1) whether the property is a senior/retirement<br />

community; (2) whether the property has a play area; <strong>and</strong> (3) whether the property is a rental.<br />

units. Finally, the relationship between total indoor water use at a property <strong>and</strong> number of units was almost linear.<br />

xxvii

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