hi i need someone proffecional with fire class homework?

profileص
111naif.xlsx

Sheet1

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 2.5

Area (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 0.141062438103191

Square 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.