This section presents our results for the study. First, we present descriptive statistics related to the main factors utilized in the analysis. Following this, we present the results of our multiple regression analysis.
4.1. Descriptive Statistics
In this section, descriptive statistics focus on the factors included in our proposed conceptual framework, as well as fuel type for heating and cooling equipment and water heater fuel type. It considers only the data for our delimited sample of single-family, detached, and owned homes in the United States while providing estimates per Building America climate regions.
Climate. The distribution of homes per climate zone can be seen in
Figure 2. Climate distribution for the sample indicated it included more homes built in the Cold/Very Cold climate zone (n = 37.41%), followed by Mixed-Humid (n = 25.85%), Hot-Humid (n = 17.61%), Hot-Dry/Mixed-Dry (n = 11.10%) and Marine (n = 8.03%). This distribution is expected, given the surface area coverage of each of the respective Building America climate regions analyzed.
Physical characteristics. The median house size in the sample was 2400 square feet with a standard deviation of 1284.5 square feet (119.33 square meters) (
Table 1). Median size also varied by region, with Cold/Very Cold climate homes being larger and hot-humid homes being usually smaller. However, the standard deviation (SD) was considerably high (larger than 1000 square feet/92.9 square meters) for all regions.
Additionally,
Figure 3 shows the relationship between home square footage and total energy consumption. Different colors and different shapes illustrate the data for each climate zone, as well as linear trendlines for each region. The graph shows that most houses are within 1000 square feet (92.9 square meters) and 4000 square feet (371.6 square meters), and the energy consumption is within 50 million and 125 million BTU (52.72 and 131.88 GJ). The spread of the data is larger for home size than for total energy consumption, but there are a few outliers.
The distribution of building age was fairly stable, with more homes being built between 2000 and 2009 (n = 16.8%) and before 1950 (n = 15.5%). The decades in between these two categories comprise between 10.2% (from 1960 to 1969) and 14.8% (between 1970 and 1979); homes built between 2010 and 2015 comprised the smallest percentage (n = 3.7%). Specific information for building age per climate region can be seen in
Figure 4.
Household characteristics. In terms of household education, about 32.8% of respondents indicated they had a college or an associate’s degree, followed by an almost equal distribution of respondents with a high-school diploma or GED (n = 22.3%) and bachelor’s degree (n = 22.1%); 17.8% of respondents had some sort of graduate degree, and only 5% had less than a high-school diploma or GED. This distribution seems to be similar for every region, as can be seen in
Figure 5. We note that this question only asked for the respondent’s highest educational degree and does not include information about the educational degrees of all household members.
When asked about the income of the previous year (2014), the median answer indicated an income between
$20,000 and
$39,999 for their annual gross household income, with 18.8% of respondents indicating to fit that income bracket. Income seems to vary per region and
Figure 6 shows the breakdown per income bracket for each Building America climate region. Hot-Dry/Mixed-Dry and Marine regions seem to have a more balanced sample across brackets than other regions.
In general, each household contained a minimum of one and a maximum of 11 members, with a mean of 2.69 people per household and a standard deviation of 1.396. In the case of household members, the median was 2 people per household for all regions. The mean number of people varied from a low of 2.60 in the Hot-Humid region to a high of 2.79 in the Hot-Dry/Mixed-Dry region.
Figure 7 shows a box plot representation for the number of household members in each surveyed climate region and indicates a higher variability in the Marine, Mixed-Humid, and Hot-Dry/Mixed Dry regions, in which most homes house two to four people than Hot-Humid and Cold/Very Cold regions, in which most homes have two to three people only.
Equipment. In general, most of the surveyed homes utilized a central furnace as their main heating equipment (n = 65.9%), followed by heat pump (n = 14.8%). The remainder of the homes used other sources of heat (n = 17%) or heating was not applicable (n = 2.3%). When further analyzing equipment type per region, a central furnace is still the main type of equipment used, however, we can see heat pumps are proportionally more common in Hot-Humid, Mixed-Humid and Marine, than Cold/Very Cold and Hot-Dry/Mixed-Dry climates (see
Figure 8).
For main heating equipment fuel, most homes used natural gas from underground pipes (n = 54.6%), followed by electricity (n = 27.6%). Other fuels accounted for 15.5% of surveyed homes. For 2.3% of homes, heating fuel was not applicable. In all climate regions, electricity and piped natural gas were found to be the most prevalent fuels for main heating equipment in homes, but fuel oil/kerosene was found in almost as many homes as electricity for homes in the Cold/Very Cold climate. The breakdown can be seen in
Table 2.
For air conditioning, most homes used a central air conditioning system (n = 69%), followed by individual window or wall, or portable units (n = 14.2%), and both a centralized system and individual units (n = 5.6%); for 11.6% of homes, air conditioning type was not applicable. When further analyzing per climate zone (
Figure 9), we note a similar prevalence of central air-conditioning systems in all regions, except Marine. In the Marine climate zone, central air conditioning systems (n = 102) are almost as prevalent as not having air conditioning (n = 106).
For water heaters, almost half of the homes used a medium storage-tank water heater (n = 48.7%), followed by water heaters with large storage tanks of 50 gallons (189.27 liters) or more (n = 38.2%). Small storage tank water heaters accounted for only 9.2% of the surveyed homes, and only 4% of homes had a tankless or on-demand water heater. This is similar to what is found in all regions, as can be seen in
Figure 10. The two main fuel types used in water heaters were natural gas from underground pipes (n = 50.7%) and electricity (n = 41.2%), accounting for the vast majority of surveyed homes. When further analyzing per climate zone, results indicate that in all regions electricity and natural gas are the most prevalent fuel for water heating equipment. However, in Hot-Dry/Mixed-Dry regions, natural gas (n = 74.8%) is much more frequently used than electricity (n = 19.2%); this is similar for Cold/Very Cold regions, though with slightly lesser difference (natural gas n = 57.5% and electricity n = 30.9%). Only in Hot-Humid climate zones do homes seem to use electricity (n = 62.9%) for heating water more frequently than natural gas (n = 33.9%).
Finally, when assessing the existence of on-site solar energy generation, we found that very few homes from the sample have this feature. For all climate zones, only 78 homes had on-site electricity generation from solar. Of those 78 homes, the region with most homes with solar power generation on-site was Hot-Dry/Mixed-Dry region (n = 30), followed by Cold/Very Cold (n = 15), Mixed-Humid (n = 13), Marine (n = 12) and Hot-Humid (n = 8).
4.2. Multiple Regression Analysis Results
First, a log transformation for total BTU was performed to improve the fit of residuals for every region. We note that for the Cold/Very Cold climate zone a quadratic transformation would yield a better model fit, but to standardize the procedures across the climate zones, a log transformation for total BTU was used in that region as well.
Second, a one-way ANOVA was run to evaluate differences in energy consumption between regions. The results indicate that we can reject the null hypothesis that all regions consume energy equally (F = 168.315,
p-value < 0.001). Additionally, a box plot of LogBTU per climate region is presented in
Figure 11 to help visualize results. A Tukey comparison between regions indicates that the five regions can be grouped into three main groups of total energy consumption—(1) Cold/Very Cold, (2) Mixed-Humid, and (3) remaining regions (Hot-Dry/Mixed-Dry, Hot-Humid, and Marine). We note that even though homes of some of the regions might have similar total energy consumption, we cannot assess if the distribution of that consumption—meaning how energy is spent in the home—is similar.
Five multiple regression models were then run for the present study—one for each Building America climate region. Equation (1), included in
Section 3 (Methodology) represented the initial regression model. Final models vary per region, and
Table 3 summarizes the parameter estimates in each of the factors. For factors treated as categorical, parameter estimates are included per level, if the factor was found significant at the 0.05 level. Size, year built, income, and the number of family members were treated as continuous variables. We note that the model did not present a significant result for education or type of water heater in any of the regions, therefore these factors were removed from
Table 3 and Equation (2), which represents the revised model equation, which can still differ per climate region:
The goodness of fit can be evaluated by the adjusted R-square value for each resulting model and varied from 0.2953 (Hot-Dry/Mixed-Dry region) to 0.4459 (Mixed-Humid region). We also note that even though a wood-burning fireplace or stove is included as a level of type of heating equipment, the wood consumption is not included in a home’s total BTU usage in RECS and this information needs to be considered when analyzing homes that use this type of fuel.
Cold and Very Cold Climate. This zone covers a large area of the United States. For this region, the reduced model contained all the revised Equation (2) variables, except for solar energy. The variable that had the largest single-increment impact on the total BTU consumed by a household was type of heating equipment. This was compared to a baseline of “not applicable” heating equipment, which was only found in one home of this region. For the homes that had applicable heating equipment, a central furnace and some other equipment were found to very similarly contribute to the energy consumption of the home, while heat pumps consumed less. Furthermore, in this climate newer homes were found to significantly consume less energy, though the amount reduced per decade younger is small (β
2 = −0.0293). Contributions of the number of household members and income were found to also have small, though statistically significant increments. Based on the findings, the researchers evaluated Spearman correlations between the four variables treated as continuous, namely, year built, number of household members, income, and home size as seen in
Table 4. All correlations were significant at the α = 0.01 level. However, we note that all correlations were weak (0.1 < ρ < 0.4), or very weak, in the case of the number of household members and year built (ρ = 0.096). The associations between income and number of household members (ρ = 0.337) and income and home size (ρ = 0.352), despite weak, were higher than the other correlations coefficients. We also note that, even though a small parameter estimate was found for the contribution of total square footage (β
1 = 0.0106), the median home size in this region is 2700 square feet (251 square meters), making size the second largest contributor to total energy consumption for a median-sized home in Cold and Very Cold Climate, after heating equipment.
Hot-Dry and Mixed-Dry Climate. This climate is found mainly in the southwest of the United States. For this region, the reduced model contained all the revised Equation (2) variables, except for solar energy and year built. And, similarly to the Very Cold and Cold climate zones, the variable that had the largest single-increment impact on the total BTU consumed by a household was the type of heating equipment, again compared to a baseline of “not applicable” heating equipment, which was found in 32 homes of this region. For the homes that had applicable heating equipment, a central furnace and some other equipment were found to very similarly contribute to the energy consumption of the home, while heat pumps were found to consume the least energy of the distinct types of heating equipment. Contributions of income were found to be small, compared to the number of family members. Our Spearman correlation analysis between the variables treated as continuous showed significance for all correlations, with the exceptions of the number of household members and year home was built, and income and year built, as seen in
Table 5. Even when correlation was determined to be significant, all were considered weak. Interestingly, here the largest correlation coefficient was for the association between home size and year built (ρ = 0.373). In this region, the median size of homes is also considerably less than those in Cold and Very Cold climate (x̃ = 2116). Considering the contribution of total square footage (β
1 = 0.01052), size was found to be the largest contributor to total energy consumption for a median-sized home (2116 square feet/197 square meters) that did not use a central furnace or some other type of heating equipment in the Hot-Dry and Mixed-Dry climate. For homes with a central furnace—the most frequent type of heating equipment in this region—or some other heating equipment, heating equipment was the largest contributor to energy usage in this climate, followed by home size. Finally, central air conditioning systems in this region have a higher contribution to the total energy consumed in the home, compared to other types of air conditioning systems for this factor. In fact, central air conditioning in Hot-Dry and Mixed-Dry climate are an important factor in the total energy consumed in these homes, given that it is the most frequent type of air-conditioning system used in this climate (see
Figure 7).
Hot-Humid Climate. This climate is found in the southeast of the United States. For this region, the reduced model contained all the revised Equation (2) variables, except for solar energy and air conditioning. Newer homes in this climate tend to consume less energy (β
2 = −0.0485). Similarly to the previously analyzed climate zones, the variable that had the largest single-increment impact on the total BTU consumed by a household was type of heating equipment. Thirty homes had “not applicable” heating equipment in this region. For the homes that had applicable heating equipment, central furnaces consumed more energy, followed by some other equipment, and then heat pumps. Homes with a fireplace or wood-burning stove were found to contribute negatively to the increment of energy consumed. The authors note that wood was not included in the total energy estimate used in the models. Only 11 houses using one of these equipment types were found in this climate zone. In this climate region, all but one of the Spearman correlations analyzed were found to be significant, as presented in
Table 6. All significant correlations were found to be weak, with the associations between income and year built (ρ = 0.349), home size and year built (ρ = 0.324), and income and home size (ρ = 0.378) presenting the largest coefficient values. In this region, the median size of homes is 1904 square feet (177 square meters). Therefore, considering the contribution of total square footage (β
1 = 0.01497), size is the largest contributor to total energy consumption for a median-sized home in this climate, ahead of heating equipment, including central furnace, which is still the most frequent heating equipment used in homes in this climate zone.
Marine Climate. This climate is found along the west coast of the United States. For this region, the reduced model contained all Equation (2) variables, except for year built and income. This climate was the only one in which solar energy generation on-site was significant, however, it was found to have a positive contribution to the total energy consumption of the home. Similarly to the previously analyzed climate zones, the variable that had the largest single-increment impact on the total BTU consumed by a household was type of heating equipment. Heating equipment was “not applicable” for only 10 homes in this region. For the homes that had applicable heating equipment, a central furnace and some other equipment consumed more energy, followed by heat pumps. The number of family members had a small contribution to the total energy consumed in homes (β
5 = 0.05041). The Spearman correlation analysis for this region indicated significance in only three associations (see
Table 7): between income and the number of household members, between size and year built, and size and income. Of those, the largest correlation coefficient was found between income and number of household members (ρ = 0.334). In this region, the median size of homes is very similar to what was found in the Hot-Humid region and is equal to 1949 square feet (181 square meters). Interestingly, in this case, size was not found to be one of the largest contributors to energy use in a median-sized home, contributing less than most heating equipment, solar power, and at least one of the cooling equipment options.
Mixed-Humid Climate. This climate is found in the lower half-east of the United States, in between the Hot-Humid and Cold/Very Cold and Hot-Humid climates. For this region, the reduced model contained all the original variables, except for solar energy. Year built was the only variable to negatively contribute to the total energy consumption in homes. Similarly to other climate zones, the variable that had the largest single-increment impact on the total BTU consumed by a household was type of heating equipment. Heating equipment was “not applicable” for only one home in this. For the homes that had applicable heating equipment, a central furnace and some other equipment were found to very similarly contribute to the energy consumption of the home, while heat pumps consumed less. Contributions of income and the number of family members were found to be fairly similar. Similar to the Cold and Very Cold climate region, the Spearman correlation analysis for this climate region showed significance at the α = 0.01 level for all relations shown in
Table 8. However, differently than all other regions, the relationship between income and home size in the Mixed-Humid climate was found to be moderate (ρ = 0.457), followed by a weak correlation between income and number of household members (ρ = 0.368). Additionally, for this region, individual window/wall or portable units contributed less than central air conditioning systems, which in turn contributed less than both a central and individual unit to the total BTU consumed in a home. In this region, the median size of homes is 2519 square feet (234 square meters), which is second only to the median home size in Cold and Very Cold climate region. Considering the contribution of total square footage (β
1 = 0.00868), similarly to Cold and Very Cold climate region, size is the second largest contributor to total energy consumption for a median-sized home in the Hot-Dry and Mixed-Dry climate.