hi i need someone proffecional with fire class homework?
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| FSE 200 | |||||
| Homework Assignment 4 | |||||
| 25 Points | |||||
| Directions: | |||||
| Complete all questions below. Save the file containing your solutions and | |||||
| submit electronically under Assignments -> Assignment 4 in Blackboard. | |||||
| Using the following data, determine whether or not the square footage of a | |||||
| particular fire station has an effect on the turnout time for the firefighters. | |||||
| (This data is recreated from an EFO paper by Michael E. Dell'Orfano.) | |||||
| Completion of Chart (4 points) | |||||
| Station | Square Footage | Turnout Time (in minutes) | Area Squared | Time Squared | Area * Time |
| 31 | 3842 | 1.82 | 14760964 | 3.3124 | 6992.44 |
| 32 | 11572 | 1.86 | 133911184 | 3.4596 | 21523.92 |
| 33 | 6802 | 2.13 | 46267204 | 4.5369 | 14488.26 |
| 34 | 18500 | 2.37 | 342250000 | 5.6169 | 43845 |
| 35 | 19232 | 1.92 | 369869824 | 3.6864 | 36925.44 |
| 36 | 4500 | 2.33 | 20250000 | 5.4289 | 10485 |
| 37 | 6700 | 2 | 44890000 | 4 | 13400 |
| 38 | 3093 | 2.02 | 9566649 | 4.0804 | 6247.86 |
| 39 | 9229 | 2.22 | 85174441 | 4.9284 | 20488.38 |
| 40 | 6094 | 2.42 | 37136836 | 5.8564 | 14747.48 |
| 41 | 15130 | 2.44 | 228916900 | 5.9536 | 36917.2 |
| 42 | 7523 | 2.22 | 56595529 | 4.9284 | 16701.06 |
| 43 | 15000 | 3.18 | 225000000 | 10.1124 | 47700 |
| 44 | 9000 | 2.18 | 81000000 | 4.7524 | 19620 |
| 45 | 9647 | 2.35 | 93064609 | 5.5225 | 22670.45 |
| 46 | 15130 | 2.5 | 228916900 | 6.25 | 37825 |
| Sum | 160994 | 35.96 | 2017571040 | 82.4256 | 370577.49 |
| Mean (1 point) | 10062.13 | 2.25 | Correlation Coefficient (1 point) | Coefficient of Determination (1 point) | |
| SD (1 point) | 5148.65 | 0.33 | 0.346 | 0.120 | |
| What is the Dependent Variable (1 point)? | |||||
| What is the Independent Variable (1 point)? | |||||
| Place a scatterplot of the relationship of turnout time and square footage below (2 points). Show the trendline as well. | |||||
| Remember to include titles and labels. | |||||
| What does this data tell you about the relationship (2 points)? | |||||
| State the equation of the least-squares regression line (1 point). | |||||
| Identify and interpret the slope (2 points). | |||||
| Identify and interpret the intercept (2 points). | |||||
| If appropriate, use the least-squares regression equation to predict the turnout time for a 12,000 square foot fire station (2 points). | |||||
| If appropriate, use the least-squares regression equation to predict the turnout time for a 25,000 square foot fire station (2 points). | |||||
| Obtain the residual plot and analyze the output (2 points). | |||||
| RESIDUAL OUTPUT | |||||
| Observation | Predicted Turnout Time (in minutes) | Residuals | |||
| 1 | 2.1107255995 | -0.2907255995 | |||
| 2 | 2.2807006588 | -0.4207006588 | |||
| 3 | 2.1758130737 | -0.0458130737 | |||
| 4 | 2.4330405308 | -0.0630405308 | |||
| 5 | 2.4491364873 | -0.5291364873 | |||
| 6 | 2.1251943691 | 0.2048056309 | |||
| 7 | 2.1735701946 | -0.1735701946 | |||
| 8 | 2.0942558299 | -0.0742558299 | |||
| 9 | 2.2291804048 | -0.0091804048 | |||
| 10 | 2.1602448536 | 0.2597551464 | |||
| 11 | 2.3589375619 | 0.0810624381 | |||
| 12 | 2.1916671511 | 0.0283328489 | |||
| 13 | 2.3560789904 | 0.8239210096 | |||
| 14 | 2.2241449211 | -0.0441449211 | |||
| 15 | 2.2383718116 | 0.1116281884 | |||
| 16 | 2.3589375619 | 0.1410624381 |
Turnout time (in minutes) for the firefighters is dependent variable.
Scatter Plot
3842.0 11572.0 6802.0 18500.0 19232.0 4500.0 6700.0 3093.0 9229.0 6094.0 15130.0 7523.0 15000.0 9000.0 9647.0 15130.0 1.82 1.86 2.13 2.37 1.92 2.33 2.0 2.02 2.22 2.42 2.44 2.22 3.18 2.18 2.35 2.5Area (Square footage)
Turnout time
Square Footage Residual Plot
3842.0 11572.0 6802.0 18500.0 19232.0 4500.0 6700.0 3093.0 9229.0 6094.0 15130.0 7523.0 15000.0 9000.0 9647.0 15130.0 -0.290725599547464 -0.420700658810437 -0.0458130737283695 -0.0630405308122319 -0.529136487265078 0.204805630854213 -0.173570194550514 -0.0742558298983091 -0.00918040475440218 0.259755146447334 0.0810624381031908 0.028332848945809 0.823921009604379 -0.0441449211100013 0.111628188418699 0.141062438103191Square Footage
Residuals
Area (Square footage) of a fire station is independent variable.
This data tells us that there is weak positive relationship between square footage area and turnout time for firefighters. Hence as square footage area increases, the turnout time for firefighters also increases to smaller extent.
The equation of the least-squares regression line is given below. Turnout time = 2.026 + 0.000021*Square footage
The slope of regression line is 0.000021. The slope indicates that when there is one square foot increase in area of a fire station, predicted turnout time for firefighters increases by 0.000021 minutes.
The intercept of regression line is 2.026. The intercept indicates that when area of fire station is 0 square foot, predicted turnout time for firefighters is approximately 2.026 minutes.
The least-squares regression equationis given below. Turnout time = 2.026 + 0.000021*Square footage Turnout time = 2.026 + 0.000021*12,000 = 2.29 minutes Hence predicted turnout time for a 12,000 square foot fire station is 2.29 minutes.
Least-squares regression equation is not useful to predict the turnout time for a 25,000 square foot fire station because value of x (25,000) is outlier for given range of area.
Residual plot indicates that all the residuals are randomly distributed and there is no any pattern observed. Hence normality assumption is satisfied.