Municipalities and states have been asked by the Department of Energy to assess
ID: 2959360 • Letter: M
Question
Municipalities and states have been asked by the Department of Energy to assess their energy requirements for each of the alternative fuels. In particular, they have decided to focus initially on natural gas, given the enormity of U.S. reserves and its relative cleanliness. Following is the available data and variables on fuel consumption of selected municipalities in Illinois, along with the resulting regression output.Following are the data and output for selected municipalities in Illinois for 10 reporting periods (weeks). The dependent variable is consumption of natural gas in millions of cubic feet (Fuelcons) and the independent variables are the temperature (Temp), measured in degrees Fahrenheit, and a “chill), which takes values form 0 to 30, and which includes other fuel consumption determinants besides temperature, such as wind speed and direction, and cloud cover.
Overall F statistic = __________(answer to two decimal places)
Associated p-value = __________ (answer to four decimal places)
Interpretation of the overall F test:
A. This tells us that we have very strong evidence that fuel consumption is related to at least one of the independent variables, temperature and chill index.
B. This tells us that we have very strong evidence that fuel consumption is related to at least one of the independent variables, temperature and/or chill index.
C. This tells us that we have extremely strong evidence that fuel consumption is related to least one of the independent variables, temperature and/or chill index.
D. This tells us that we have very strong evidence that fuel consumption has a negative relationship with temperature and a positive relationship with chill index.
E. This has no practical interpretation.
Select your choice: ________ (A,B,C,D,E,)
Regression Analysis
R² 0.911
Adjusted R² 0.885 n 10
R 0.954 k 2
Std. Error 0.605 Dep. Var. FuelCons
ANOVA table
Source SS df MS F p-value
Regression 26.1386 2 13.0693 35.66 .0002
Residual 2.5654 7 0.3665
Total 28.7040 9
Regression output confidence interval
variables coefficients std. error t (df=7) p-value 95% lower 95% upper
Intercept 12.2306 1.4021 8.723 .0001 8.9153 15.5460
Temp -0.0756 0.0226 -3.351 .0122 -0.1289 -0.0223
Chill 0.0939 0.0389 2.411 .0467 0.0018 0.1859
Predicted values for: FuelCons
95% Confidence Interval 95% Prediction Interval
Temp Chill Predicted lower upper lower upper Leverage
44 12 10.0316 9.5635 10.4997 8.5255 11.5377 0.107
Refer to the second tab to view the data set for this regression output.
Explanation / Answer
in the given output, Overall F-statistic = 35.66 and Associated p -value = 0.0002 Ans:C this overall F test tells us that we have extremely strong evidence that fuel consumption is related to least one of the independent variables, temperature and/or chill index.Related Questions
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