The manager of an amusement park would like to be able to
predict daily attendance in order to develop more accurate plans
about how much food to order and how many ride operators to hire.
After some consideration, he decided that the following three
factors are critical:
Yesterday’s attendance
Weekday or weekend (1 if weekend, 0 if weekday)
Predicted weather
Rain forecast ( 1 if forecast for rain, 0 if not)
Sun ( 1 if mostly sunny, 0 if not)
He then took a random sample of 40 days. For each day, he recorded
the attendance, the previous day’s attendance, day of the week, and
weather forecast. An example of the first few lines of Data and the
regression output are below:
Attendance Yest Att I1
I2 I3
7882 8876 0 1
0
6115 7203 0 0
0
5351 4370 0 0
0
8546 7192 1 1 0
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.836766353
R Square 0.700177929
Adjusted R Square 0.665912549
Standard Error 810.7745532
Observations 40
ANOVA
df SS MS
F Significance F
Regression 4 53729535
13432384 20.43398
9.28E-09
Residual 35 23007438
657355.4
Total 39 76736973
Coefficients Standard
Error t Stat P-value Lower
95% Upper 95%
Intercept 3490.466604 469.1554
7.439894 1.04E-08 2538.031
4442.903
Yest Att 0.368547078 0.077895
4.731349 3.6E-05 0.210412
0.526682
I1 1623.095785 492.5497
3.295294 0.002258 623.1668
2623.025
I2 733.4646317 394.3718
1.85983 0.071331 -67.1527
1534.082
I3 765.5429068 484.6621
-1.57954 0.123209 -1749.46
218.3734
Test to see if the model is valid. Use alpha = .05
Can we conclude that weather is a factor in determining
attendance?
If the manager is looking for a way to help predict attendance, Is
this a good model to use? How would you suggest making this model
better?
please give proper details for the answer. Thank you
In: Statistics and Probability
The manager of an amusement park would like to be able to predict daily attendance in order to develop more accurate plans about how much food to order and how many ride operators to hire. After some consideration, he decided that the following three factors are critical: Yesterday’s attendance Weekday or weekend Predicted weather He then took a random sample of 36 days. For each day, he recorded the attendance, the previous day’s attendance, day of the week, and weather forecast(mostly sunny, rain, cloudy). The first independent variable is interval, but the other two are nominal. a. Create the three indicator variables you need. b. Conduct a regression analysis. c. Is this model valid? Explain. d. Can we conclude that weather is a factor in determining attendance? e. Do these results provide sufficient evidence that weekend attendance is, on average, larger than weekday attendance? f. Do these results provide sufficient evidence that mostly sunny attendance is, on average, larger than cloudy attendance?
| Attendance | Yest Att | day of the week | weather forecast |
| 7882 | 8876 | 2 | 1 |
| 6115 | 7203 | 2 | 3 |
| 5351 | 4370 | 2 | 3 |
| 8546 | 7192 | 1 | 1 |
| 6055 | 6835 | 2 | 3 |
| 7367 | 5469 | 2 | 1 |
| 7871 | 8207 | 2 | 1 |
| 5377 | 7026 | 2 | 3 |
| 5259 | 5592 | 2 | 1 |
| 4915 | 3190 | 2 | 3 |
| 6538 | 7012 | 2 | 3 |
| 6607 | 5434 | 2 | 3 |
| 5118 | 3764 | 2 | 3 |
| 6077 | 7575 | 2 | 3 |
| 4475 | 6047 | 2 | 3 |
| 3771 | 4430 | 2 | 3 |
| 6106 | 5697 | 2 | 3 |
| 7017 | 3928 | 1 | 2 |
| 5718 | 5552 | 2 | 3 |
| 5966 | 3142 | 1 | 2 |
| 8160 | 8648 | 1 | 2 |
| 4717 | 3397 | 2 | 3 |
| 7783 | 7655 | 2 | 3 |
| 5124 | 5920 | 2 | 3 |
| 7495 | 7831 | 1 | 2 |
| 5848 | 6355 | 2 | 3 |
| 5166 | 3529 | 2 | 3 |
| 4487 | 4220 | 2 | 3 |
| 7320 | 7526 | 2 | 1 |
| 6925 | 4083 | 1 | 1 |
| 8133 | 6382 | 1 | 1 |
| 7929 | 6459 | 2 | 3 |
| 7291 | 3432 | 1 | 2 |
| 5419 | 8077 | 2 | 3 |
| 3634 | 3353 | 2 | 3 |
| 6859 | 3803 | 1 | 2 |
| 1 weekend | 1 mostly sunny | ||
| 2 weekdays | 2 rain | ||
| 3 cloudy |
In: Statistics and Probability
Dandy's Fun Park is evaluating the purchase of a new game to be located on its Midway.? Dandy's has narrowed their choices down to? two: the Wacky Water Race game and the
Whackminus?Aminus?Mole
game. Financial data about the two choices follows.
|
Wacky Water Race |
Whackminus?Aminus? Mole |
|
|
Investment |
?$28,000 |
?$27,000 |
|
Useful life |
5 |
5 |
|
Estimated annual net cash inflows for 5 years |
?$10,000 |
?$3,000 |
|
Residual value |
?$2,000 |
?$5,000 |
|
Depreciation method |
straightminus?line |
straightminus?line |
|
Required rate of return |
?8% |
?10% |
What is the total present value of future cash inflows and residual value from the
Whackminus?Aminus?Mole
?game?
In: Accounting
A man is hiking at a park. At the beginning, he followed a straight trail. From the starting point, he traveled two miles down the first trail. Then he turned to his left by 30 degree angle to follow a second trail for one point five miles. Next, he turned to his right by 160 degree angle and follow a third trail for one point seven miles. At this point he was getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead him deeper into the woods. He would like to take a shortcut directly through the woods. How far to his right should you suggest him to turn, and how far do he have to walk, to go directly back to his starting point?
Q1: The man has to turn ____ degree to the right and walk ___ miles to the starting point.
In: Physics
The health of the bear population in a park is monitored by periodic measurements taken from anesthetized bears. A sample of the weights of such bears is given below. Find a 95% confidence interval estimate of the mean of the population of all such bear weights. The 95% confidence interval for the mean bear weight is the following.
data table 80 344 416 348 166 220 262 360 204 144 332 34 140 180
In: Math
Technology is taking much of the fun out of finding a place to park the car. Now, in cities from New York to Seattle, the door is open to a host of wireless technologies seeking to improve the parking meter even further. Chicago and Sacramento, CA, among others are equipping enforcement vehicles with infrared cameras capable of scanning license plates even at 30 miles an hour. Using a global positioning system, the cameras can tell which individual cars have parked too long in a two-hour parking zone. At a cost of $75,000 a camera, the system is an expensive upgrade of the old method of chalking tires and then coming back two hours later to see if the car has moved.
Parking czars in municipalities across the country are starting to realize parking meters' original goals: generating revenue and creating a continuous turnover of parking spaces on city streets. Clearly, their main questions are "Would there be enough new revenue from installing the expensive parking monitoring devices?" and "How many devices should be installed to maximize the revenue streams?" From the device manufacturing's point of view, the question is "Would there be enough demand for their products to justify the investment required in new facilities and marketing?" If the manufacturing decides to go ahead and market the products, but the actual demand is far less than its forecast or the adoption of the technology is too low, what would be the potential financial risk?
In: Economics
Soap Makers International
Several years ago, Ingrid Krause wanted some international expertise and applied for a transfer to her company’s soap division, which is located south of Warsaw, Poland. The soap division manufactures hand soap for use in a large number of settings, from hospitals to luxury hotels. Ingrid was awarded the transfer to the soap division and was assigned to the accounting department. She is responsible for overseeing the costing and probability analysis of the various soaps and soap-making processes. During her tenure in the soap division, there were numerous changes in the number of soaps manufactured and the processes to make the different soaps. Consequently, Ingrid’s position required her to consider changes in the accounting processes to reflect the changes in the soap division’s business.
For several decades, the company’s soap-making process required a large labour force that manufactured and packaged the soap mainly by hand. Local economic changes meant that the labour force that the factory required was not as available as it had been in the past. As a result, the division was experiencing slower processing time, and more snap being rejected during inspections because of quality concerns. To address the issues related to the lack of labour availability, the division’s management decided three years ago that automation was the way to go. Consequently, over the last three years, the soap making processes have changed with the implementation of automation.
The automation of the soap making processes have allowed for a much larger variety of soap and packing, a reduced direct labour force and direct labour costs, and a higher level of traceability of costs to the various soaps because of technological improvements. Soaps made for industrial applications require different ingredients, less time in processing, less time in finishing, and less time in and cheaper packaging than do soaps for the hotel industry. The costs of materials and packaging are directly traceable to the various types of soaps through new software that uses bar codes and counters to trace material costs to the various soaps directly.
Ingrid feels that the current costing system should be revisited. The cost driver for allocation of the overhead costs (such as supervisory salaries and plant utilities) have always been direct labour hours cost. However, given the decline in the use of labour due to automation, Ingrid is questioning its suitability as a basis of allocation. Ingrid would like to explore activity based costing to allocate overhead costs.
Ingrid has gathered cost data for two representative soaps: one sold to hospitals and one sold to hotels. Further, Ingrid has gathered data from the automated system on the amount of time each type of soap spends in the three manufacturing processes: processing, finishing, and packaging. The soap is produced in large batches, consequently, the data are adjusted to reflect the average cost per 100g of soap. The data for type of soap for one month’s production are in Exhibit 1.
REQUIRED
EXHIBIT 1 – COSTS FOR ONE MONTH’S PRODUCTION OF SOAP
|
Cost Components |
Total |
Costs Per 100 g of soap |
|
|
Industrial Soap (Hospital) |
Luxury Soap (Hotel) |
||
|
Direct Materials |
$4.000,000 |
$0.40 |
$0.80 |
|
Packaging |
$2,000,000 |
$0.10 |
$0.60 |
|
Direct Labour |
$750,000 |
$0.14 |
$0.15 |
|
Manufacturing |
$5,000,000 |
||
|
Processing |
$2,500,000 |
||
|
Finishing |
$1,500,000 |
||
|
Packaging |
$1,000,000 |
||
EXHIBIT 2 – TIME REQUIRED FOR ONE MONTH’S PRODUCTION OF SOAP
|
Time Components |
Total |
Time per 100 g of soap |
|
|
Industrial Soap (Hospital) |
Luxury Soap (Hotel) |
||
|
Processing |
750,000 seconds |
0.2 second |
0.4 second |
|
Finishing |
300,000 seconds |
0.03 second |
0.4 second |
|
Packaging |
100,000 seconds |
0.006 second |
0.5 second |
In: Accounting
Use Newton’s method to find the real root (in four decimal places) near 0.5 of the equation x^5 −4x^2 + 2 = 0
In: Math
After crossing over has already occurred, the ________ assembles near the centromere and allows microtubules to attach so that centromeres can be pulled to opposite poles
In: Biology
Describe the difference between a substitutional solute atom, an interstitial solute atom, and a vacancy. Discuss whether the stress in the material near the defect will be tensile or compressive
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