identify two firms one with a beta more than 1.5 and another with a beta of less than 0.7. Report your findings by naming the firms and their betas, describing their products, and explaining why you believe the beta seems predictable (or perhaps not predictable) for the firms chosen.

An accountant for a large department store has the business objective of developing a model to predict the amount of time it takes to process invoices. Data are collected from the past 32 working days, and the number of invoices processed and completion time (in hours) are shown below. (Hint: First determine which are the independent and dependent variables.) Use Excel:

• Assuming a linear relationship, create a regression model to compute the regression coefficients b₀ and b₁.
• Interpret the meaning of the Y intercept, b₀, and the slope, b₁. What does the slope tell you about the relationship between number of invoices processed and completion time?
• Use the prediction line developed to predict the mean amount of time it would take to process 150 invoices. Would you use the regression model to predict the amount of time it would take to process 350 invoices? Why?
• What is the coefficient of determination, r² ? Interpret its meaning.
• Plot the residuals against the number of invoices processed and also against time. Based on these plots, does the model seem appropriate?

A sample of 31 people took a written driver’s license exam. Two variables were measured on them: The result of the exam (0 = fail, 1 = pass), and how much time (in hours) the person studied for the exam. Using the data, fit an appropriate regression model to determine whether time spent studying is a useful predictor of the chance of passing the exam. Formally assess the overall fit of the model. Formally assess whether time spent studying is a useful predictor (as always, providing numerical justification (test statistic and P-value) for your conclusion). Carefully interpret what the estimated model tells you about how the chance of passing the exam changes as the time spent studying changes. A prospective examinee named Matthew spent 3.0 hours studying for his written exam. Estimate (with a point estimate and with a 90% interval) his probability of passing the exam. Based on this estimate, predict whether he will pass or fail.

SAS code:

DATA three;
INPUT result hours;
/* result=0 is fail; result=1 is pass */
cards;
0 0.8
0 1.6
0 1.4
1 2.3
1 1.4
1 3.2
0 0.3
1 1.7
0 1.8
1 2.7
0 0.6
0 1.1
1 2.1
1 2.8
1 3.4
1 3.6
0 1.7
1 0.9
1 2.2
1 3.1
0 1.4
1 1.9
0 0.4
0 1.6
1 2.5
1 3.2
1 1.7
1 1.9
0 2.2
0 1.3
1 1.5
;
run;

Question 3

Again ignore any trend or seasonality in the data.  Suppose the company uses exponential smoothing to make forecasts.  

1. What are the forecasts for periods Q2 Year 1 through Q4 Year 5 assuming alpha = 0.3. Assume that the forecast for Q1 Year 1 was 25 units.
2. What are the forecasts for periods Q2 Year 1 through Q4 Year 5 assuming alpha = 0.8.  Assume that the forecast for Q2 Year 1 was 25 units.
3. Compare the accuracies of the forecasts in (a) and (b) using Mean Absolute Percent Error.  Which value of alpha gives us the better forecasts?

Question 4

Now make adjustments for trend and seasonality.

1. Quantify the trend in the time series.  What does the trend equation tell you?  
2. Quantify the seasonality in the time series by calculating seasonality indexes.  What do these indexes tell you?
3. Using the trend and the seasonality information from (a) and (b) make forecasts from Q1 Year 1 through Q4 Year 5.  
4. Use MAPE to calculate the accuracy of your forecasts.

Question 5

1. Compare the preferred method in Question 2, the preferred method in Question 3, and the method in Question 4.  Which one would you choose on the basis of MAPE?
2. Using the method in Question 4 make forecasts for the 4 quarters of Year 6.

1. The greenwood hotel invested a single amount of 100,000 at 8% for 10 years. Assume annual compounding. A. How much interest will be earned over the first five years? B. How much interest will be earned over the last five years? C. What will be the total amount of the investment after 10 years?

Needs to document an amusement park ride. For example: Round rotating cylinder where the floor drops out. The information can come from any online website. Needs to know the radius and speed at which the ride needs to rotate so that you don't fall?

Calculate the coefficient of static friction for this ride also

Based on recent data, there are on average 1.3 days per winter where snowfall reaches more than 6 inches in Central Park, New York City. We’ll call these “snow days”.

Assume that there were more than 2 “snow days” this winter. What is the chance that exactly 4 such days occur?

A tourist from the US spends three nights in a hotel in Amsterdam Which statement(s) is (are) true?

a. This increases GDP of the Netherlands and decreases net exports of the US.

b. This increases GDP of the Netherlands and increase consumption of the US.

c. This increases consumption of the US, but decreases net exports of the US.

d. All of the above are correct

The food and beverage department and its housekeeping counterpart employ the vast majority of the employees in a full-service hotel. These departments are very labor-intensive because it is not practical to use technology to replace human workers in these areas. To what extent do you think technology will replace employees in the food and beverage department in the future? Why?

In the list below tell me whether it’s a private good, public good, common resources or club resources. Explain.

Fish in Beaverkill stream in Roscoe NY

NYC Central Park
NYC water from the Catskill Mountains

Basic research on cancer drug

Radio broadcasting system

Cable television signals