Municipalities and states have been asked by the Department of Energy to assess
ID: 2959361 • 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. B1 (Temp), b2 (Chill)
B1 (Temp)
p-value = ________ (answer to four decimal places)
95% confidence interval = _________ , __________ (answer to four decimal places)
Interpretation of the p-value:
A. This is the probability of correctly concluding that there is a relationship between fuel consumption and temperature.
B. This is probability incorrectly concluding that there is a relationship between fuel consumption and temperature.
C. This is probability of correctly concluding that there no relationship between fuel consumption and temperature.
D. This is the probability of incorrectly rejecting the alternative hypothesis, that there is a relationship between fuel consumption and temperature.
E. This value has no practical interpretation.
Select your choice: ________ (A,B,C,D,E,)
Interpretation of the 95% confidence interval:
A. This says we are 95% confident that, for the given temperature of 44 degrees, the fuel consumption will be between these values.
B. This says we are 95% confident that in the population each additional degree of increase in temperature will result in an increase of fuel consumption between these values.
C. This says we are 95% confident that in the population each additional degree of increase in temperature will result in a decrease of fuel consumption between these values given a constant value for the chill index.
D. This says we are 95% confident that over many weeks, the mean fuel consumption will be between these values.
E. This confidence interval has no practical interpretation.
Select your choice: ________ (A,B,C,D,E,)
B2 (Chill)
p-value = ________
95% confidence interval = _________ , __________
Interpretation of the p-value:
A. This is the probability of correctly concluding that there is a relationship between fuel consumption and the chill index.
B. This is probability incorrectly concluding that there is a relationship between fuel consumption and the chill index.
C. This is probability of correctly concluding that there no relationship between fuel consumption and the chill index.
D. This is the probability of incorrectly rejecting the alternative hypothesis, that there is a relationship between fuel consumption and the chill index.
E. This value has no practical interpretation.
Select your choice: ________ (A,B,C,D,E,)
Interpretation of the 95% confidence interval:
A. This says we are 95% confident that, for the given chill index of 12, the fuel consumption will be between these values.
B. This says we are 95% confident that in the population each additional degree of increase in the chill index will result in a decrease of fuel consumption between these values.
C. This says we are 95% confident that over many weeks, the mean fuel consumption will be between these values.
D. This says we are 95% confident that in the population each additional degree of increase in the chill index will result in a decrease of fuel consumption between these values given a constant value for TEMP.
E. This confidence interval 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
I would advise you elect to go through the walk through. If there's an answer you can't get correct just select an answer until it give you the correct one. In some cases it will take you on a detour to explain steps/process so watch carefully. I worked on this for several hrs and a couple of days and after buckling down with the walk through, lecture, internet, and the book, this is what I came up with. After the walk through, it will help to understand the lecture and book content better. Congrats on completing the course. Note: When you complete the master module test, click explanation and print screen, paste into word and have for the final and probably to help with your paper. Good luck. Coefficient for Temp = -0.0756 (Which is also the point of estimate) p-value for Temp = 0.0122 Interval size for Temp = -0.1289 - 0.0223 Interpretation of the p-value = B Interpretation of the 95% confidence interval = C Coefficient for Chill = 0.0939 (Which is also the point of estimate) p-value for Chill = 0.0467 Interval size for Temp = 0.0018 - 0.1859 Interpretation of the p-value = B Interpretation of the 95% confidence interval = D
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.