You are the account manager in charge of Internet advertising at Impact Sales. Spending on Internet advertising has increased steadily over the last few years and you predict the growth will continue.
) Do you think a linear model is appropriate for this data? Explain clearly.
f) Find a quadratic model for this data since 2000.
g) Which model better fits your data? Support your answer with a scatter plot of the data and both models on the same set of axis.
h) Using the quadratic model what is the average rate of change between 2002 and 2004?
i) As the account manager what would you budget for Internet advertising in 2008?
TABLE:
Year Internet Advertising Spending (Billions)
2001 0
2002 0.3
2003 0.8
2004 1.9
2005 3
2006 4.3
2007 5.8
In: Advanced Math
Using the data, fit an appropriate regression model to determine
whether
time spent studying (hours) is a useful predictor of the chance of
passing the exam (result, 0=fail 1=pass). Formally assess
the overall fit of the model.
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;
In: Statistics and Probability
For a sample of 12 trees, the volume of lumber (in m3) and the diameter ( in cm ) at a fixed height above the ground level was measured. The results were as follows.
Use Excel sheet
| Diameter | Volumes |
|---|---|
| 35.1 | 0.81 |
| 48.4 | 1.39 |
| 47.9 | 1.31 |
| 35.3 | 0.67 |
| 47.3 | 1.46 |
| 26.4 | 0.47 |
| 33.8 | 0.8 |
| 45.3 | 1.69 |
| 25.2 | 0.3 |
| 28.5 | 0.19 |
| 30.1 | 0.63 |
| 30 | 0.64 |
a)Construct a scatterplot of volume ( y ) versus diameter ( x ). using Excel
b)Compute the least-square line for predicting volume from diameter.
c)Compute the fitted value and residual for each point. d)If two trees differ in diameter by 8 cm, by how much would you predict their volume to differ?
e)Predict the volume of a tree whose diameter is 44 cm.
f)For what diameter would you predict a volume of 1m3
In: Statistics and Probability
The daily demand for hotel rooms on Miami in Florida is given by the equation Qd= 150,000 – 275P. The daily supply of hotel rooms on Miami is given by the equation Qs= 25,000 +312.5P. Diagram these demand and supply curves in the price. What is the equilibrium price and quantity of hotel rooms on Miami?
In: Economics
Davy Metal Company produces brass fittings. Davy's engineers estimate the production function represented below as relevant for their long-run capital-labor decisions.
? = 500? 0.6? 0.8 where Q = annual output measured in pounds, L = labor measured in person-hours, K = capital measured in machine hours. The marginal products of labor and capital are:
??? = 300? −0.4? 0.8 ; ??? = 400? 0.6? −0.2
Davy's employees are relatively highly skilled and earn $15 per hour. The firm estimates a rental charge of $50 per hour on capital. Davy forecasts annual costs of $500,000 per year, measured in real dollars.
a. Determine the firm's optimal capital-labor ratio, given the information above.
b. How much capital and labor should the firm employ, given the $500,000 budget? Calculate the firm's output.
c. Davy is currently negotiating with a newly organized union. The firm's personnel manager indicates that the wage may rise to $22.50 under the proposed union contract. Analyze the effect of the higher union wage on the optimal capital-labor ratio and the firm's employment of capital and labor. What will happen to the firm's output?
d. Graph the optimal bundles before and after wage change in the same diagram. K on y axis and L on x axis.
In: Economics
Determine the positive real root of ln(x^2)=0.8 by the following methods. (Note that you need to show the details of your derivations in MATLAB).
a) Graphically ( plot the function and copy your figure to word).
b) Using two iterations of the bisection method with initial guesses of xl=0.4 and xu=2 and populate the following table. What is the root after two iterations? Provide justification for the values you have obtained in your MATLAB code as comments.
i xl xu xr
1 0.4 2
2
c) Using two iterations of the false position method, with the same initial guesses as in b) and populate the table below. What is the root after two iterations? Provide justification for the values you have obtained in your MATLAB code as comments.
i xl xu xr
1 0.4 2
2
d) Compute the actual root of the function (use a built in MATLAB function) and identify which method (bisection or false position) achieves a better estimate of the root after two iterations. Prove your answer by calculating the True Percentage Error ( Assume that your answer in part d, obtained using the MATLAB Built in Function is the true value ). ALL Calculations must be performed in MATLAB.
In: Advanced Math
Consider a hotel which can supply an unlimited number of hotel rooms at the constant marginal cost c = 20 per room per night, so that the hotel’s total cost function is given by C(q) = 20q.1 Assume that demand for hotel rooms in Tallahassee takes two possible values: on game days, demand is described by the demand curve q = 100 − p, while on non-game-days demand is described by the demand curve q = 60 − 2p.
First suppose that the hotel acts as a price taker.
(a) What does it mean for the hotel to act as a price taker? What condition determines a price taker’s optimal supply decision?
(b) Assuming the hotel acts as a price taker, what will be the equilibrium price and quantity sold on game days? What about on non-game-days? (Remember, the hotel’s marginal cost is constant!)
(c) Briefly discuss, without solving, how your results in (b) would change if the hotel instead had increasing marginal costs (say for example MC(q) = qrather than MC = 20).
In: Economics
Question 2: AHP
A tourism company want to evaluate four hotels and select the best
one using four criteria project's COST, CLEANNESS and DISTANCE and
SIZE of the HOTEL. Assume that the company prefers; cleanness two
times more than size, cost two times more than distance, and
distance 1.5 times more than size.
|
Criterion |
|
|
|
|
||||
|
Cleanness |
Very good |
|
excellent |
average |
||||
|
Cost ($) |
200 |
175 |
250 |
190 |
||||
|
SIZE of rooms (m2) |
15 |
12 |
20 |
25 |
||||
|
Distance from Downtown (km) |
0 |
4 |
2 |
7 |
1. Calculate the weights of each criteria
2. Generate the pair-wise comparison of hotels based on each
criterion using the scale of Saaty (1-9)
3. Calculate the score of each hotel based on each criterion
4. Calculate the score of each hotel. Justify the best selection
for the company.
5. Calculate CI, and CR. What does the value of CT means?
In: Advanced Math
The Neal Company wants to estimate next year's return on equity (ROE) under different financial leverage ratios. Neal's total capital is $15 million, it currently uses only common equity, it has no future plans to use preferred stock in its capital structure, and its federal-plus-state tax rate is 40%. The CFO has estimated next year's EBIT for three possible states of the world: $5.4 million with a 0.2 probability, $3.1 million with a 0.5 probability, and $0.3 million with a 0.3 probability. Calculate Neal's expected ROE, standard deviation, and coefficient of variation for each of the following debt-to-capital ratios. Do not round intermediate calculations. Round your answers to two decimal places at the end of the calculations.
Debt/Capital ratio is 0.
Debt/Capital ratio is 10%, interest rate is 9%.
Debt/Capital ratio is 50%, interest rate is 11%.
Debt/Capital ratio is 60%, interest rate is 14%.
Would really appreciate some help with this question, I have the answers but I don't understand how to calculate the standard deviation and coefficient of variation. Those are the two I'm struggling with a lot and I don't understand the formula for the standard deviation so any explanation would be really appreciated.
In: Finance
what are the interior and exterior facilities required to construct an amusement park
details of infrastructure of an amusement park
In: Civil Engineering