Fran’s Convenience Marts is located throughout the Erie, Pennsylvania metro area. Fran, the owner, wants to expand her businesses to other communities in northwest Pennsylvania and southeast New York, such as Jamestown, Corry, Meadville, and Warren. To prepare your presentation to the local bank, you would like to better understand the factors that make a particular discount store productive. Fran must do all the work on her own, so she won't be able to study all the discount stores. Therefore, he selects a random sample of 15 stores and records the average daily sales, the floor space (area), the number of parking spaces and the average income of the families in the region for each of the stores. The sample information is reported below.

With the information above carry out the analysis required for the study that you must present to the bank regarding the best equation to estimate daily sales. Using all the information previously obtained by you:

a. indicate the correlation coefficients, identifying which is the best and the weakest among all the possible regressions and equations.
b. the regression errors obtained, identifying which is the best and the weakest among all the possible regressions and equations.
c. the required hypothesis tests
d.Present and identify which is the best equation to predict the monthly average purchase volume, explain why it is the best equation.
e.With the best estimated equation present the confidence interval to predict the monthly average purchase volume, when the Area of
the store is 585, the family income is 50,000 and the parking number is 10.

Only c and e (Important)

Fran’s Convenience Marts is located throughout the Erie, Pennsylvania metro area. Fran, the owner, wants to expand her businesses to other communities in northwest Pennsylvania and southeast New York, such as Jamestown, Corry, Meadville, and Warren. To prepare your presentation to the local bank, you would like to better understand the factors that make a particular discount store productive. Fran must do all the work on her own, so she won't be able to study all the discount stores. Therefore, he selects a random sample of 15 stores and records the average daily sales, the floor space (area), the number of parking spaces and the average income of the families in the region for each of the stores. The sample information is reported below.

With the information above carry out the analysis required for the study that you must present to the bank regarding the best equation to estimate daily sales. Using all the information previously obtained by you:

a. indicate the correlation coefficients, identifying which is the best and the weakest among all the possible regressions and equations.
b. the regression errors obtained, identifying which is the best and the weakest among all the possible regressions and equations.
c. the required hypothesis tests
d.Present and identify which is the best equation to predict the monthly average purchase volume, explain why it is the best equation.
e.With the best estimated equation present the confidence interval to predict the monthly average purchase volume, when the Area of
the store is 585, the family income is 50,000 and the parking number is 10.

You have worked as a staff auditor for two and one-half years and have mastered your job. You will likely be promoted to a senior position after this busy season. Your current senior was promoted about a year ago. He appreciates your competence and rarely interferes with you. As long as he can report good performance to his manager on things she wants, he is satisfied. The manager has been in her position for three years. She is focused on making sure audits run smoothly and is good at this. She is not as strong on the softer skills. Although she is approachable, her attention span can be short if what you are saying does not interest her. You are aware that she expects her teams to perform excellently during this busy season and she hopes to be promoted to senior manager as a result, bringing her closer to her goal of making partner early.

1. Determine the main potential ethical dilemmas. Next, use the seven (7) steps in the ethical decision-making framework to recommend one (1) course of action you would take in order to avoid the ethical dilemmas. Provide a rationale to support your recommendation.

2. based on your recommendation in Part I, suggest one (1) strategy that would support you making the right decision without undermining the manager’s confidence in your problem-solving ability in a difficult situation. Provide a rationale to support your response.

Assume that a scandium atom lost one of its 2p electrons.

1) What is the term symbol for the open shell configuration of the ionized 2p level (ignoring other levels, and assumgint he ion is in its lowest energy state)

2) Find all possible term symbols for this ionized scandium atom

What happens when one base pair of DNA is lost from the coding region of a gene because of mutation? First explain how this would affect the mRNA sequence, and second, explain how this would alter the amino acid of the protein that is encoded.

You work for a large investment management firm. The analysts with your firm have made the following forecasts for the returns of stock A and stock B:

Answer the following questions:

1. Calculate the expected returns, variance and the standard deviations for stock A and B.
2. What is the covariance of returns for Stock A and Stock B? What is the correlation coefficient for Stock A and Stock B?
3. What is the expected return and standard deviation of a portfolio where 40% of the portfolio is in stock A and 60% of the portfolio is in stock B?
4. Create a table that has the expected return and standard deviation for different weights in each stock. This can be done using an excel data table. Start with 100% in A and zero in B, and increments of 10%, complete the table. The last row, will have 0% in A and 100% in B. Then chart (or graph) your results.

Note: All calculations should be rounded to one decimal place if you are using percentages, if you are using decimals then the answer should be rounded to three decimal places.

Suppose a natural gas distribution company has capital investments of $8 million and a capital cost r of 10%. The firm’s operating, billing, and maintenance costs are $200,000. The firm buys natural gas at the city gate price of $5/MCF to sell to its customers. The firm distributes gas to those customers through its existing pipeline network at close to zero marginal cost.

The firm faces the following (inverse) demand by customer type (recall that these are average demand per customer, so at any given price you have to multiply quantity by the number of customers to get total quantity demanded in that customer group):

Residential (10,000 customers): P = 50 − 5*q

Commercial (1,000 customers): P = 50 − q

Industrial (100 customers): P = 20 − 1/100 * q

Calculate the two-part tariff if the firm charges each customer the same two-part tariff and charges P = MC as the variable charge. What is the deadweight loss in this case?

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:

y = β₀ + β₁x + ε

where

• y = traffic flow in vehicles per hour
• x = vehicle speed in miles per hour.

The following data were collected during rush hour for six highways leading out of the city.

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.

ŷ = b₀ + b₁x + b₂x²

(a)Develop an estimated regression equation for the data of the form ŷ = b₀ + b₁x + b₂x². (Round b₀ to the nearest integer and b₁ to two decimal places and b₂ to three decimal places.)

ŷ =

(b)Use α = 0.01 to test for a significant relationship.

State the null and alternative hypotheses.

H₀: One or more of the parameters is not equal to zero.
H_a: b₁ = b₂ = 0

H₀: One or more of the parameters is not equal to zero.
H_a: b₀ = b₁ = b₂ = 0  

   H₀: b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.

H₀: b₀ = b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

What is your conclusion?

Reject H₀. We cannot conclude that the relationship is significant.

Do not reject H₀. We conclude that the relationship is significant.    

Do not reject H₀. We cannot conclude that the relationship is significant.

Reject H₀. We conclude that the relationship is significant.

(c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = β₀ + β₁x + ε where

• y = traffic flow in vehicles per hour
• x = vehicle speed in miles per hour.

The following data were collected during rush hour for six highways leading out of the city.

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = b₀ + b₁x + b₂x²

(a) Develop an estimated regression equation for the data of the form ŷ = b₀ + b₁x + b₂x².  (Round b₀ to the nearest integer and b₁ to two decimal places and b₂ to three decimal places.)

ŷ =

(b) Use α = 0.01 to test for a significant relationship. State the null and alternative hypotheses.

H₀: b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.

H₀: One or more of the parameters is not equal to zero.
H_a: b₀ = b₁ = b₂ = 0   

  H₀: One or more of the parameters is not equal to zero.
H_a: b₁ = b₂ = 0

H₀: b₀ = b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

What is your conclusion?

Reject H₀. We conclude that the relationship is significant.

Do not reject H₀. We conclude that the relationship is significant.   

Do not reject H₀. We cannot conclude that the relationship is significant.

Reject H₀. We cannot conclude that the relationship is significant.

(c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:

y = β₀ + β₁x + ε

where

• y = traffic flow in vehicles per hour
• x = vehicle speed in miles per hour.

The following data were collected during rush hour for six highways leading out of the city.

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.

ŷ = b₀ + b₁x + b₂x²

(a)

Develop an estimated regression equation for the data of the form

ŷ = b₀ + b₁x + b₂x².

(Round b₀ to the nearest integer and b₁ to two decimal places and b₂ to three decimal places.)

ŷ =

(b)

Use α = 0.01 to test for a significant relationship.

State the null and alternative hypotheses.

H₀: One or more of the parameters is not equal to zero.
H_a: b₁ = b₂ = 0 H₀: One or more of the parameters is not equal to zero.
H_a: b₀ = b₁ = b₂ = 0      H₀: b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero. H₀: b₀ = b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

What is your conclusion?

Do not reject H₀. We cannot conclude that the relationship is significant.

Do not reject H₀. We conclude that the relationship is significant.    

Reject H₀. We cannot conclude that the relationship is significant.

Reject H₀. We conclude that the relationship is significant.

(c)

Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

vehicles per hour