It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:

What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?

Group of answer choices

2.6%

0.3%

94.8%

0.1%

97.4%

Use the following information for questions 36-48

Transcendent Technologies is deciding between developing a complicated thought-activated software, or a simple voice-activated software. Since the thought-activated software is complicated, it only has a 30% chance of actually going through to a successful launch, but would generate revenues of $50million if launched. The voice-activated software is simple and hence has a 80% chance of being launched but only generates a revenue of $10million. The complicated technology costs 10million, whereas the simple technology costs 2million.

​If the simplified version costs $2 million and its probability of success is 75%, whereas the cost of the complicated version is $10million, what is the minimum probability of success for the complicated version that would make the firm indifferent between the two software?

Caro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow:

Required:

Use the reciprocal method to allocate the service costs. (Matrix algebra is not required.) (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your final answers to the nearest whole dollar amounts.)

A. Bree and Kendra love to go to the movies. When they go, there is a probability of 0.3 that Bree will buy popcorn. The probability that Kendra will buy popcorn is 0.35 if Bree buys popcorn and 0.65 if Bree does not. When Bree and Kendra go to the movies together, find the probability that

1. both buy popcorn;
2. neither buys popcorn;
3. exactly one of them buys popcorn;

B. Carmelita accompanies Bree and Kendra to the movies sometimes. During these trips, the probability that Carmelita buys popcorn is 0.55 if both Bree and Kendra buy popcorn and 0.4 if exactly one of Bree and Kendra buys popcorn. When Bree, Kendra, and Carmelita go to the movies together, find the probability that

4. all three buy popcorn;

5. Kendra and Carmelita buy popcorn, but Bree does not;

Looking to compare, thanks.

A) Allocate the two support departments' costs to the two operating departments using the following methods?

Direct Method
Step-down method (Allocate AS first)
Step -down method (Allocate IS first)

B) Compare and Explain differences in the support department costs allocated to each operating department?

C) What approaches might be used to decide the sequence in which to allocate support departments when using the step-down method?

A spring is mounted over an air track in such a way that the one end of the spring is fixed and the other is connected to a spring scale. When the spring is stretched to 0.01 m a force of 1 N is registered on the spring scale. The spring is relaxed and a glider of 0.43 kg (resting on the air track) is connected to it. The glider-spring system is then pulled to the right through a distance of 0.01 m. Calculate the following:

(a) The spring constant k. (1 mark)

(b) The period of motion. (1 mark)

(c) The angular frequency. (1 mark)

(d) Calculate the amplitude and phase angle of the spring-glider system, if the initial velocity and position of the glider is 0.3 m/s and 0.72 m, respectively.

(e) Utilize all the information already calculated and set up equations for the displacement, velocity and acceleration as function of time.

1. The following information is given for a stock. Investors assume that the return of the stock is best explained by a two-factor model that includes the market factor and a second risk factor. Using a dividend discount model, what is the price for this stock?

Stock covariance with the market= 0.5

Market variance = 0.25

Stock covariance with a second risk factor= 0.6

Variance of the second factor= 0.3

Market Premium:3%

Second factor risk premium=1%

Risk free rate =2 %

Current earnings per share= $5,

The ROE is expected to shrink (decrease) at the rate 10% for first 5 years

The ROE is expected to growat the rate 8% forever after the first 5 years

Payout for the first 5 years: 50%

Payout after 5 years: 50%

Markov Analysis 2. Management of a Milk Chocolate Galore company believes that the probability of a customer purchasing its MilkyChoc or the company’s major competition, ChocoMilk, is based on the customer’s most recent purchase. Suppose that the following transition probabilities are appropriate:

To

From                                                  MilkyChoc                         ChocoMilk

MilkyChoc                                              0.8                                       0.2

ChocoMilk                                              0.3                                       0.7

a. Show the two-period tree diagram for a customer who last purchased MilkyChoc. What is the probability that this customer purchases MilkyChoc on the second purchase?

b. What is the long-run market share for each of these two products?

c. A MilkyChoc advertising campaign is being planned to increase the probability of attracting ChocoMilk customers. Management believes that the new campaign will increase to 0.40 the probability of a customer switching from ChocoMilk to MilkyChoc. What is the projected effect of the advertising campaign on the market shares?

Use the information in the following table to answer the question.

Note the fund started with 100 Net Asset Value at the start of 2012.

1. Given the above hedge fund manager’s performance, which year(s) would the manager get paid on their high water mark? (1.5 marks).

2. Calculate the rolling 3 years average returns and identify which year(s) the managers get paid the high water mark? (1.5 marks).

3. Explain why managers are paid the high water mark during the years identified above (1 mark).

This is the only info I have

. A certain supermarket has both an express checkout line and a super-express checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the super-express checkout at the same time. Suppose the joint probability distribution of X1 and X2 is as follows

x2

0 1 2

0 0.1 0. 1 0.0

x1 1 0.1 0.2 0.1

2 0.0 0.1 0.3

(a) Find P(X1 = X2). (4 pts.)

(b) Find P(X1 6= 0). (4 pts.)

(c) Find the marginal distribution of X1. (4 pts.)

(d) Find Cov(X1, X2). (4 pts.)

(e) Are X1 and X2 independent? Why? (4 pts.)