Match each example to the type of bias that would result
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In: Math
Concert Nation] Concert Nation, INC. is a nationwide promoter of
rock concerts. The president of
the company wants to develop a model to estimate the revenue of a
major concert event at large venues
(such as Ford Field, Madison Square Gardens) for planning marketing
strategies. The company has
collected revenue data of 32 recent large concert events. For each
concert, they have also recorded the
attendance, the number of concession stands in the venue, and the
Billboard chart of the artist in the
week of each event. This data is available in “Tickets”. They have
two potential models that could
explain the revenue. The two competing models are:
Model A: ??????? = ?? + ???????????? + ???????????? + ??????????? + ?0123?
Model B: ??????? = ?? + ???????????? + ??????????? + ?012?
Run regression on both models. Use only the regression outputs
of the two models and the original data
to answer questions 1 to 7 below.
1. [1 pt] Let’s consider the model A first. What does the result of
F-test indicate?
(a) The p-value of F-test is 100.83. Thus, the model does not
significantly explain the revenue.
(b) The p-value of F-test is close to zero. Thus, all independent
variables in the regression model are
statistically significant.
(c) The p-value of F-test is close to zero. This indicates that at
least some independent variables in the
regression model significantly explain the revenue.
(d) This indicates weak evidence of a linear relationship, because
the p-value is very low.
2
2. [1 pt] If we use model A for prediction, what is the point
estimate for the revenue of a concert that has
attendance of 50,000 people, 5 concession stands, and the song
ranked in no. 15 in the Billboard ranking?
(a) $3.145 M
(b) $2.851 M
(c) $3.252 M
(d) $340K
3. [1 pt] What is an approximate 95% prediction interval for the
concert listed in the previous question?
(a) [$2.757M, $3.533M]
(b) [$2.463M, $3.239M]
(c) [$2.368M, $3.922M]
(d) [$2.074M, $3.628M]
4. [1 pt] Which of the following statement is correct?
(a) The estimated slope for the attendance is only $59.2. This
means that, when keeping everything
else the same, the revenue does not depend much on the
attendance.
(b) The t-statistic associated with the slope for the attendance
variable is 16.9. This means that there is
too much noise to determine if the slope is definitely
positive.
(c) The p-value for the concession variable is 0.933. This means
that the number of concession stands
is not a statistically significant variable to determine the
revenue.
(d) The p-value for the concession variable is 0.933. This means
that the number of concession stands
is a statistically significant variable to determine the
revenue.
5. [1 pt] Is it appropriate to use model A as a final model to
estimate the revenue of a concert?
(a) Yes. All independent variables are statistically
significant.
(b) Yes, because the analysis indicates a linear relationship
between revenue and attendance.
(c) No, because not all independent variables are statistically
important. Thus, revision is necessary.
(d) No, because some of the slopes were negative. Thus, revision is
necessary.
3
6. [1 pt] Now, consider model B. According to model B, what is a
point estimate for a concert that has
attendance of 50000 people, 5 concession stands, and the song
ranked in no. 15 in the Billboard ranking?
(a) $3.147M
(b) $2.839M
(c) $7.139M
(d) $13.637M
7. [1 pt] Based on the regression outputs, which model would you
consider more suitable for predicting the
revenue between the two models– Model A and Model B?
(a) Model A is more suitable, because it has a higher ?2, lower
standard error of the estimates
(??), and lower F-test p-value.
(b) Model A is more suitable because the fraction of SST accounted
for by the residuals is higher than
for model B.
(c) Model B is more suitable, because, while both models have
similar ?2 and F-test p-value, model B
has lower standard error of the estimates (??) and all independent
variables are statistically
significant.
(d) Model B is more suitable, because the slope coefficient is
larger in magnitude.
| Attendance | # of concessions | Billboard Charts | Concert Revenue |
| 30650 | 8 | 56 | 1531762 |
| 80997 | 1 | 87 | 4047180 |
| 93686 | 8 | 24 | 5805972 |
| 44405 | 4 | 99 | 2516538 |
| 77767 | 4 | 39 | 4197208 |
| 95780 | 7 | 35 | 6226065 |
| 82701 | 7 | 86 | 4123048 |
| 50165 | 8 | 29 | 3465110 |
| 50619 | 5 | 93 | 2843474 |
| 36259 | 7 | 86 | 1866318 |
| 52013 | 5 | 35 | 2670798 |
| 97447 | 7 | 71 | 5756817 |
| 69982 | 7 | 97 | 3681670 |
| 31789 | 10 | 72 | 2072149 |
| 39787 | 6 | 89 | 1964361 |
| 63596 | 5 | 65 | 3150802 |
| 73159 | 5 | 41 | 5064323 |
| 51172 | 8 | 1 | 2901564 |
| 54187 | 9 | 17 | 3170058 |
| 56681 | 7 | 1 | 3316764 |
| 78466 | 7 | 86 | 3825369 |
| 65132 | 8 | 86 | 2983563 |
| 52866 | 4 | 8 | 3091641 |
| 39536 | 2 | 20 | 3068049 |
| 32541 | 1 | 53 | 1796727 |
| 36441 | 1 | 60 | 2011990 |
| 74987 | 6 | 58 | 4389931 |
| 33791 | 8 | 81 | 1545359 |
| 64961 | 6 | 94 | 3792136 |
| 61429 | 3 | 86 | 2695672 |
| 68178 | 4 | 50 | 4147528 |
| 85701 | 5 | 52 | 5335423 |
In: Statistics and Probability
A psychologist studied the number of puzzles subjects were able to solve in a five-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a subject. The psychologist found that X had a distribution where the possible values of X are 1, 2, 3, 4 with the corresponding probabilities of 0.2, 0.4, 0.3, and 0.1. Use this information to answer questions 20-23 below.
A batch of 26 light bulbs includes 5 that are defective. Two light bulbs are randomly selected. If the random variable, X, represents the number of defective light bulbs which can be selected, what values can X have?
In: Statistics and Probability
Exercise 16-44 Comprehensive Cost Variance Analysis (LO 16-5, 6)
NSF Lube is a fast-growing chain of oil-change stores. The following data are available for last year’s services:
NSF Lube performed 467,700 oil changes last year. It had budgeted 435,000 oil changes, averaging 8 minutes each.
Standard variable labor and support costs per oil change were as follows:
Direct oil specialist services: 8 minutes at $30 per hour $ 4.00
Variable support staff and overhead: 10.5 minutes at $20 per hour 3.5
Fixed overhead costs: Annual budget $1,039,000
Fixed overhead is applied at the rate of $3.90 per oil change.
Actual oil change costs:
Direct oil specialist services: 467,700 changes averaging 11 minutes at $34 per hour $ 2,915,330
Variable support staff and overhead: 0.22 labor-hours at $15 per hour × 467,700 changes 1,543,410
Fixed overhead 1,425,000
a. Prepare a cost variance analysis for each variable cost for last year.
b. Prepare a fixed overhead cost variance analysis
I know the answer for b is:
Price Variance: $386,000 U
Production Volume Variance: $785,030 F
Fixed Overhead Cost Variance: $399,030 F
......But I can't figure out A: how to get the Price Variance, Efficiency Variance or the total variance for both the oil specialist and the variable overhead.
Any help would be appreciated.
In: Accounting
The marketing division of Family FunTime Mini Golf is wanting to gather information about the spending habits of its visitors. It polls visitors as they leave and gathers information about the amount of money spent at the course. A sample with 40 families and the amounts they spent can be found in the Excel table I have provided below. Please answer all questions using complete sentences.
| Amount Spent |
| 18 |
| 26 |
| 34 |
| 36 |
| 38 |
| 42 |
| 43 |
| 44 |
| 45 |
| 45 |
| 50 |
| 51 |
| 52 |
| 52 |
| 53 |
| 53 |
| 54 |
| 54 |
| 56 |
| 58 |
| 58 |
| 58 |
| 59 |
| 60 |
| 60 |
| 61 |
| 61 |
| 62 |
| 62 |
| 62 |
| 63 |
| 63 |
| 63 |
| 65 |
| 66 |
| 71 |
| 71 |
| 77 |
| 83 |
| 84 |
In: Statistics and Probability
The marketing division of Family FunTime Mini Golf is wanting to gather information about the spending habits of its visitors. It polls visitors as they leave and gathers information about the amount of money spent at the course. A sample with 40 families and the amounts they spent can be found in the Excel table I have provided below. Please answer all questions using complete sentences.
| Amount Spent |
| 18 |
| 26 |
| 34 |
| 36 |
| 38 |
| 42 |
| 43 |
| 44 |
| 45 |
| 45 |
| 50 |
| 51 |
| 52 |
| 52 |
| 53 |
| 53 |
| 54 |
| 54 |
| 56 |
| 58 |
| 58 |
| 58 |
| 59 |
| 60 |
| 60 |
| 61 |
| 61 |
| 62 |
| 62 |
| 62 |
| 63 |
| 63 |
| 63 |
| 65 |
| 66 |
| 71 |
| 71 |
| 77 |
| 83 |
| 84 |
In: Statistics and Probability
MATCH the number with the correct letter:
31. Austropithecus afraensis
32. Homo habilis
33. Homo erectus
34. Homo sapiens
35. Cro-Magnon Man
36. Africa
37. Migration
38. Skull
39. Bipedalism
40. Arboreal
a. The ability and habit of living in trees
b. Feature evolved to hold a bigger brain
c. Location of human origins
d. The most recent species of humans
e. Likely 1st humanoid to use stone tools
f. Lucy was one of this species
g. Use of lower limbs for locomotion
h. The movement from Africa to Europe
i. Responsible for Cave Drawings, Art
j. Examples are Peking Man and Java Man
In: Biology
agree or not?
Wealthy countries have spent more than $ 9 trillion on overcoming the economic impact of COVID-19. And costs are currently increasing as governments try to ensure the functioning of the economy after a pandemic. The damage done can go beyond the financial crisis and possibly even the Great Depression. This is the worst economic crisis in 70 years. Now investors are rushing to a safe place. 11-year growth in US stock markets has ended. And there is one reliable harbor that everyone is counting on, and that is not gold. This is the dollar. Despite all the talk that the dollar will lose its reserve currency status, it turned out to be just that, talk Emerging markets suffered a major blow to the dollar. The Indonesian rupee has lost nearly 14 percent of its value since the beginning of the year. The Russian ruble and the Mexican peso lost a fifth of their value. The problem for emerging markets is that they may want to lower interest rates to stimulate the coronavirus-affected economy, but it will further undermine their currencies. And interest payments on dollar debts have just grown, having unbalanced finances. The pound fell more than 10 percent, the level that was last seen in 1985. The United Kingdom’s divorce from the European Union violated the stability of the pound, which is believed to have been tied to the fate of the continent. The best currency is the Argentine peso, the best in the sense that it fell the least compared to other Latin American countries. The fact that he introduced capital controls restricts cash flows from the country to overcome the economic crisis certainly helped. The dollar has been the leading currency in the world for more than a century. Today, more than 60 percent of all foreign bank reserves and 40 percent of all debts are held in US dollars.
In: Operations Management
In: Biology
| XYZ stock price and dividend history are as follows: |
| Year | Beginning-of-Year Price | Dividend Paid at Year-End |
| 2010 | $ 124 | $ 4 |
| 2011 | $ 135 | $ 4 |
| 2012 | $ 115 | $ 4 |
| 2013 | $ 120 | $ 4 |
|
An investor buys six shares of XYZ at the beginning of 2010, buys another two shares at the beginning of 2011, sells one share at the beginning of 2012, and sells all seven remaining shares at the beginning of 2013. |
|
To compute dollar-weighted return, prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2010, to January 1, 2013. (Enter your answer as an integer. Negative amounts should be indicated by a minus sign.) |
| Date | Cash Flow (for the investor) |
| 1/1/2013 | ? |
In: Finance