Does the eccentricity of the orbit increase or decrease as you shorten the initial distance of the planet from the star? Why would this be the case? (Based on my data the eccentricity of orbit decreased with shorter initial distances between the planet and star. Please explain why that is. Data is shown below)
|
Trial |
Initial distance (thousand miles) |
d (thousand miles) |
c (thousand miles) |
T (days) |
Ti2/T02 | di2/d02 | eccentricity |
|
0 |
91500 |
186000 |
185950 |
365 |
0.02 |
||
|
1 |
75000 |
128045 |
126422 |
210 |
0.331 |
0.326 |
0.16 |
|
2 |
62384 |
96656 |
91582 |
136 |
0.139 |
0.140 |
0.30 |
|
3 |
5000 |
69009 |
62203 |
83 |
0.052 |
0.051 |
0.43 |
In: Physics
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 125 brakes using Compound 1 yields an average brake life of 41,759 miles. A sample of 163 brakes using Compound 2 yields an average brake life of 40,361 miles. Assume that the population standard deviation for Compound 1 is 3921 miles, while the population standard deviation for Compound 2 is 3097miles. Determine the 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.
Step 3 of 3 :
Construct the 95%95% confidence interval. Round your answers to the nearest whole number.
In: Statistics and Probability
The following multiple regression model shows the expected PRICE of a VW Passat at auction (in $) as a function of the number of MILES on the Passat, the AGE of the Passat (AGE = 2020 – Year Assembled), and whether the Passat is SILVER (Yes = 1; No = 0):
Expected Price = 16,700 – 0.06MILES – 1,233AGE + 296SILVER
a. If the level of significance equals 0.05 and 100 Passats are in the sample, determine the critical value of the associated test statistic to assess whether the coefficient for AGE is significantly negative
b. You are deciding between two Passats: Passat A has 34,600 miles, was assembled in 2016, and is silver; Passat B has 46,200 miles, was assembled in 2017, and is red. Which Passat has the higher expected PRICE and by how much?
In: Statistics and Probability
| On January 1st 2016 the Hail Company purchased a tractor for $120,000. This tractor is expected to last 12 years and have a $2400 salvage value | |||||||||||||
| Hail expects to drive the tractor 470400 miles . | |||||||||||||
| In 2016 Hail drove the tractor 80,000 miles; in 2017 Hail drove the tractor 127,000 miles | |||||||||||||
| Part 1: fill in the following table | |||||||||||||
| 2016 | 2017 | 2016 | 2017 | ||||||||||
| dep exp | dep exp | book value | book value | ||||||||||
| straight line depreciation | |||||||||||||
| double declining depreciation | |||||||||||||
| units of activity depreciation | |||||||||||||
| Part 2: On January 1st 2018 Hail sold the tractor for $62,000. | |||||||||||||
| If Hail was using double declining balance depreciation, what gain or loss do they show on the sale? | |||||||||||||
In: Accounting
oyota USA is studying the effect of regular versus high-octane gasoline on the fuel economy of its new high-performance, 3.5-liter, V6 engine. Ten executives are selected and asked to maintain records on the number of miles traveled per gallon of gas. The results are:
a. STATE THE NULL HYPOTHESIS AND ALTERNATE HYPOTHESIS
| Miles per Gallon | Miles per Gallon | |||||
| Executive | Regular | High-Octane | Executive | Regular | High-Octane | |
| Bowers | 25 | 28 | Rau | 38 | 40 | |
| Demars | 33 | 31 | Greolke | 29 | 29 | |
| Grasser | 31 | 35 | Burns | 42 | 37 | |
| DeToto | 45 | 44 | Snow | 41 | 44 | |
| Kleg | 42 | 47 | Lawless | 30 | 44 | |
In: Statistics and Probability
7. You are considering a good-looking Toyota hybrid car priced at $28,000 or an elegant GM luxury car at $24,000. The fuel efficiency is rated at 50 miles per gallon for the Toyota and 25 miles per gallon for the GM. The annual maintenance cost for both cars is about 0.5% of the car price. The gasoline in the local market is selling at $2.00 per gallon. The cars are to be driven about 10,000 miles per year. You plan to keep your car for five years only. At the end of the fifth year, the resale values of the Toyota and the GM are about 40% and 30%, respectively, of their original prices. The interest rate is 6%. Which car is better choice form the standpoint of costs?
In: Accounting
1) determine whether the distribution represents a probability distribution if not state why
| x | 15 | 16 | 20 | 25 |
| p(x) | 0.2 | 0.5 | 0.7 | -0.8 |
2) Suit sales: the number of suits sold per day at a retail store is shown in the table with corresponding probabilities find the mean, variance and standard deviation of the distribution
| x | 0 | 1 | 2 | 3 | 4 |
| P(X) | .31 | .42 | .21 | .04 | .02 |
3) dice game: a person pays $2 to play a certain game by rolling a single die once. If a 1 or 2 comes up, the person wins nothing, however the player rolls a 3,4,5 or 6, he or she wins the difference between the number rolled and $2. find the expectation for this game is the game fair?
In: Statistics and Probability
The Toyota Camry is one of the best-selling cars in North America. The cost of a previously owned Camry depends on many factors, including the model year, mileage, and condition. To investigate the relationship between the car’s mileage and the sales price for Camrys, the following data show the mileage and sale price for 19 sales (PriceHub web site, February 24, 2012).
| Miles (1,000s) | Price ($1,000s) | ||||
| 22 | 16.2 | ||||
| 29 | 16.0 | ||||
| 36 | 13.8 | ||||
| 47 | 11.5 | ||||
| 63 | 12.5 | ||||
| 77 | 12.9 | ||||
| 73 | 11.2 | ||||
| 87 | 13.0 | ||||
| 92 | 11.8 | ||||
| 101 | 10.8 | ||||
| 110 | 8.3 | ||||
| 28 | 12.5 | ||||
| 59 | 11.1 | ||||
| 68 | 15.0 | ||||
| 68 | 12.2 | ||||
| 91 | 13.0 | ||||
| 42 | 15.6 | ||||
| 65 | 12.7 | ||||
| 110 | 8.3 | ||||
| (a) | Choose a scatter chart below with ‘Miles (1000s)’ as the independent variable. | ||||||||
|
|||||||||
| - Select your answer -Chart (i)Chart (ii)Chart (iii)Chart (iv)Item 1 | |||||||||
| What does the scatter chart indicate about the relationship between price and miles? | |||||||||
| The scatter chart indicates there may be a - Select your answer -positivenegativeItem 2 linear relationship between miles and price. Since a Camry with higher miles will generally sell for a lower price, a negative relationship is expected between these two variables. This scatter chart is consistent with what is expected. | |||||||||
| (b) | Develop an estimated regression equation showing how price is related to miles. What is the estimated regression model? | ||||||||
| Let x represent the miles. | |||||||||
| If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) | |||||||||
| = + x | |||||||||
| (c) | Test whether each of the regression parameters β0 and β1 is equal to zero at a 0.01 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? | ||||||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. | |||||||||
| (d) | How much of the variation in the sample values of price does the model estimated in part (b) explain? | ||||||||
| If required, round your answer to two decimal places. | |||||||||
| % | |||||||||
| (e) | For the model estimated in part (b), calculate the predicted price and residual for each automobile in the data. Identify the two automobiles that were the biggest bargains. | ||||||||
| If required, round your answer to the nearest whole number. | |||||||||
|
The best bargain is the Camry # in the data set, which has miles, and sells for $ less than its predicted price. The second best bargain is the Camry # in the data set, which has miles, and sells for $ less than its predicted price. |
|||||||||
| (f) | Suppose that you are considering purchasing a previously owned Camry that has been driven 70,000 miles. Use the estimated regression equation developed in part (b) to predict the price for this car. | ||||||||
| If required, round your answer to one decimal place. Do not round intermediate calculations. | |||||||||
| Predicted price: $ | |||||||||
| Is this the price you would offer the seller? | |||||||||
| - Select your answer -YesNoItem 14 | |||||||||
| Explain. | |||||||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. |
In: Statistics and Probability
Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.
|
Actual Return |
Actual Weight |
Benchmark Weight |
Index Return |
||
|
Equity |
2% |
0.7 |
0.6 |
2.5% |
(S&P 500) |
|
Bonds |
1 |
0.2 |
0.3 |
1.2 |
(Salomon Index) |
|
Cash |
0.5 |
0.1 |
0.1 |
0.5 |
|
a. What was the manager's return for the month? What was her value-added performance for the month?
b. What was the contribution of asset allocation to relative performance?
c. What was the contribution of security selection to relative performance?
In: Finance
To meet increased sales, a large grainery is planning to purchase 2 new dump trucks. Each dump truck will cost $45,000. The salvage value for each truck is $5,000. Total miles over the truck’s useful life is 160,000. Using the units-of-production method, how much is the depreciation for each truck in year 1 when the trucks were driven 14,000 miles?
In: Accounting