LINEST with conditions

Fraserkitchell

New Member
Joined
May 21, 2010
Messages
47
Hi there,

I'm trying to pull out some linear regressions (and an r-squared or two) on some data. I want to compare the electrical usage at a given hour (say 6 AM) with the usage at a building. I'm trying to compare usage to outdoor temperature.

Anybody have any suggestions on how to do this for a large span of days?

Thanks!

Hour of Day ---Temp ----------kWh

<TABLE style="WIDTH: 173pt; BORDER-COLLAPSE: collapse" border=0 cellSpacing=0 cellPadding=0 width=231><COLGROUP><COL style="WIDTH: 48pt" span=2 width=64><COL style="WIDTH: 77pt; mso-width-source: userset; mso-width-alt: 3766" width=103><TBODY><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; WIDTH: 48pt; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 width=64 align=right>1</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; WIDTH: 48pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" width=64 align=right>48.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; WIDTH: 77pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" width=103 align=right>107.4</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>2</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>50</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>108.6</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>3</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>50</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>120.6</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>4</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>48.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>108</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>5</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>48.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>123</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>6</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>50</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>255</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>7</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>50</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>502.8</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>8</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>51.1</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>640.5</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>53.1</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>739.5</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>10</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>55</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>611.4</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>11</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>57.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>546.6</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>12</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>55</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>460.8</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>13</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>59</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>473.7</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>14</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>60.1</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>377.1</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>15</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>61</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>345</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>16</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>60.1</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>251.4</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>17</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>59</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>160.8</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>18</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>55.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>151.2</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>19</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>53.8</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>143.7</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>20</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>53.8</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>135.6</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>21</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>52.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>126</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>22</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>52.9</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>118.8</TD></TR><TR style="HEIGHT: 15pt" height=20><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; HEIGHT: 15pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" height=20 align=right>23</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>52</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" align=right>113.1</TD></TR></TBODY></TABLE>
 

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So, are you just trying to see if there is a correlation between temperature and KWh for a particular time of day?

I'm not a mathematician, but clarifying your query might get more responses.
 
Upvote 0
Good point. Actually I realize the way I wrote the question is a bit off.

I want to get a different equation to describe the expected usage at a building for each hour of the day. And I want that regression to be related to temperature outside, or, rather, I want to see when/if that usage shows a tight correlation to temperature outside. My expectation is that morning loads will be highly dependent on temperature.

Thus my output would look something like this:
Building Name

1 AM Y=100 + 1.28*(outside Temp) R squared .75
2 AM Y=103 + 1.32*(outside Temp) R squared .75
3 AM Y=180 + 1.22*(outside Temp) R squared .75
4 AM Y=173 + 1.20*(outside Temp) R squared .75
Etc...

This would be pulling off of about a year of data. I'll be getting rid of weekends and holidays before I look for the linear equation and the r squared value.

Thanks for your time,
Fraser
 
Upvote 0
I think that is a lot clearer ... all you need now is for some mathematician to read this thread and come up with some ideas.
 
Upvote 0

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