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# Use the following to answer the questions below:A small university is concerned with monitoring the ...

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3 weeks ago
Use the following to answer the questions below:

A small university is concerned with monitoring the electricity usage in its Student Center, and its officials want to better understand what influences the amount of electricity used on a given day. They collected data on the amount of electricity used in the Student Center each day and the daily high temperature for nearly a year. They also made note of whether each day was a weekend or not (1 = Saturday/Sunday and 0 = Monday - Friday). Regression output is provided.

Helpful notes: 1) Electricity usage is measured in kilowatt hours, 2) During the cold months, the Student Center is heated by gas, not electricity, and 3) Air conditioning the building during the warm months does use electricity.

The regression equation is Electricity = 83.6 + 0.529 High Temp - 25.2 Weekend

 Predictor Coef SE Coef T P Constant 83.560 4.238 19.72 0.000 High Temp 0.52918 0.07020 7.54 0.000 Weekend -25.168 3.724 -6.76 0.000
S = 29.8162   R-Sq = 24.7%   R-Sq(adj) = 24.2%

Analysis of Variance

 Source DF SS MS F P Regression 2 90481 45241 50.89 0.000 Residual Error 310 275592 889 ​ ​ Total 312 366073 ​ ​ ​

Another possible predictor they recorded was the average temperature over the course of each day. Regression output for the model that uses High Temp, Weekend, and Avg. Temp is provided. Explain why these results differ so drastically from those for the two-predictor model.

The regression equation is
Sullivan Student Center = 81.9 + 0.839 High Temp - 25.1 Weekend - 0.337 Avg. Temp

 Predictor Coef SE Coef T P
 Constant 81.881 4.837 16.93 0
 High Temp 0.8389 0.4351 1.93 0.055
 Weekend -25.053 3.73 -6.72 0
 Avg. Temp -0.3372 0.4673 -0.72 0.471

S = 29.8393        R-Sq = 24.8%        R-Sq(adj) = 24.1%

Analysis of Variance

 Source DF SS MS F P
 Regression 3 90945 30315 34.05 0
 Residual Error 309 275129 890
 Total 312 66073
Textbook

## Statistics: Unlocking the Power of Data

Edition: 3rd
Authors:
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joshamjosham
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