A government researcher is analyzing the relationship between retail sales (in $ millions) and the gross national product (GNP in $ billions). He also wonders whether there are significant differences in retail sales related to the quarters of the year. He collects 10 years of quarterly data. A portion is shown in the accompanying table. Retail sales (in millions) GNP (in billions) d1 d2 d3 2000 1 696048 9740.5 1 0 0 2 753211 9983.5 0 1 0 3 746875 10048.0 0 0 1 4 792622 10184.9 0 0 0 2001 1 704757 10206.2 1 0 0 2 779011 10350.9 0 1 0 3 756128 10332.2 0 0 1 4 827829 10463.1 0 0 0 2002 1 717302 10549.7 1 0 0 2 790486 10634.7 0 1 0 3 792657 10749.1 0 0 1 4 833877 10832.2 0 0 0 2003 1 741233 10940.2 1 0 0 2 819940 11073.6 0 1 0 3 831222 11321.2 0 0 1 4 875437 11508.3 0 0 0 2004 1 795916 11707.8 1 0 0 2 871970 11864.2 0 1 0 3 873695 12047.3 0 0 1 4 938213 12216.6 0 0 0 2005 1 836952 12486.3 1 0 0 2 932713 12613.0 0 1 0 3 940880 12848.7 0 0 1 4 987085 12994.1 0 0 0 2006 1 897180 13264.0 1 0 0 2 987406 13423.3 0 1 0 3 978211 13514.8 0 0 1 4 1018775 13683.2 0 0 0 2007 1 923997 13859.8 1 0 0 2 1016136 14087.6 0 1 0 3 1002312 14302.9 0 0 1 4 1062803 14489.9 0 0 0 2008 1 953358 14520.7 1 0 0 2 1032919 14647.3 0 1 0 3 1006551 14689.2 0 0 1 4 966329 14317.2 0 0 0 2009 1 839625 14172.2 1 0 0 2 919646 14164.2 0 1 0 3 926265 14281.9 0 0 1 4 985649 14442.8 0 0 0
a. Estimate y = β0 + β1x + β2d1 + β3d2 + β4d3 where y is retail sales, x is GNP, d1 is a dummy variable that equals 1 if quarter 1 and 0 otherwise, d2 is a dummy variable that equals 1 if quarter 2 and 0 otherwise, and d3 is a dummy variable that equals 1 if quarter 3 and 0 otherwise. Here the reference category is quarter 4. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
d-1. Reformulate the model to determine, at the 5% significance level, if sales differ between quarter 2 and quarter 3. Your model must account for all quarters. Use quarter 3 as the reference category. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
In: Statistics and Probability
Is Your Car “Made in the U.S.A.”? The phrase “made in the U.S.A.” has become a familiar battle cry as U.S. workers try to protect their jobs from overseas competition. For the past few decades, a ma- jor trade imbalance in the United States has been caused by a flood of imported goods that enter the country and are sold at lower cost than comparable American-made goods. One prime concern is the automotive industry, in which the number of imported cars steadily increased during the 1970s and 1980s. The U.S. automobile industry has been besieged with complaints about product quality, worker layoffs, and high prices, and has spent billions in advertising and research to produce an American-made car that will satisfy consumer demands. Have they been successful in stopping the flood of imported cars purchased by American consumers? The data in the table represent the numbers of imported cars y sold in the United States (in millions) for the years 1969–2009. To simplify the analysis, we have coded the year using the coded variable x = Year - 1969.
| Year | x, (Year - 1969) | y, Number of Imported Cars |
| 1969 | 0 | 1.1 |
| 1970 | 1 | 1.3 |
| 1971 | 2 | 1.6 |
| 1972 | 3 | 1.6 |
| 1973 | 4 | 1.8 |
| 1974 | 5 | 1.4 |
| 1975 | 6 | 1.6 |
| 1976 | 7 | 1.5 |
| 1977 | 8 | 2.1 |
| 1978 | 9 | 2.0 |
| 1979 | 10 | 2.3 |
| 1980 | 11 | 2.4 |
| 1981 | 12 | 2.3 |
| 1982 | 13 | 2.2 |
| 1983 | 14 | 2.4 |
| 1984 | 15 | 2.4 |
| 1985 | 16 | 2.8 |
| 1986 | 17 | 3.2 |
| 1987 | 18 | 3.1 |
| 1988 | 19 | 3.1 |
| 1989 | 20 | 2.8 |
| 1990 | 21 | 2.5 |
| 1991 | 22 | 2.1 |
| 1992 | 23 | 2.0 |
| 1993 | 24 | 1.8 |
| 1994 | 25 | 1.8 |
| 1995 | 26 | 1.6 |
| 1996 | 27 | 1.4 |
| 1997 | 28 | 1.4 |
| 1998 | 29 | 1.4 |
| 1999 | 30 | 1.8 |
| 2000 | 31 | 2.1 |
| 2001 | 32 | 2.2 |
| 2002 | 33 | 2.3 |
| 2003 | 34 | 2.2 |
| 2004 | 35 | 2.2 |
| 2005 | 36 | 2.3 |
| 2006 | 37 | 2.3 |
| 2007 | 38 | 2.4 |
| 2008 | 39 | 2.3 |
| 2009 | 40 | 1.8 |
1. Using a scatterplot, plot the data for the years 1969–1988. Does there appear to be a linear relationship between the number of imported cars and the year?
2. Use a computer software package to find the least-squares line for predicting the number of imported cars as a function of year for the years 1969–1988.
3. Is there a significant linear relationship between the number of imported cars and the year?
4. Use the computer program to predict the number of cars that will be imported us- ing 95% prediction intervals for each of the years 2007, 2008, and 2009.
5. Now look at the actual data points for the years 2007–2009. Do the predictions obtained in step 4 provide accurate estimates of the actual values observed in these years? Explain.
6. Add the data for 1989–2009 to your database, and recalculate the regression line. What effect have the new data points had on the slope? What is the effect on SSE?
7. Given the form of the scatterplot for the years 1969–2009, does it appear that a straight line provides an accurate model for the data? What other type of model might be more appropriate? (Use residual plots to help answer this question.)
In: Statistics and Probability
Calculating the Inflation Rate
Using the simple percent change formula above and the annual CPIs in the table below, it becomes possible to calculate the inflation rate between any two years.
For example, the inflation rate from 1990 to 1991 was 4.2 percent:
CPI (1991) − CPI (1990) X100
CPI(1990)
= 136.2 – 130.7 X 100
130.7
= 5.5/130.7 × 100
= 0.420 × 100
= 4.2%
Use the annual CPI data in the Table below to complete the inflation rate calculations for each year in Table A.
Table A: Calculating Inflation Rates
|
CPI (Year 1 or Previous Year) |
CPI (Year 2 or Current Year) |
Calculations |
Inflation Rate from Preceding Year |
|
|
1995 |
||||
|
2005 |
||||
|
2019 |
2. If you saved $100 in 2018, how much interest would you have to earn in order for the savings to have the same purchasing power in 2019?
Table: Annual Average CPI (1982–1984 to 2012)
*Average CPI for 1982, 1983, and 1984; base level = 100.
|
Year |
Annual Average CPI |
|
1982-1984 |
100.0 |
|
1985 |
107.6 |
|
1986 |
109.6 |
|
1987 |
113.6 |
|
1988 |
118.3 |
|
1989 |
124.0 |
|
1990 |
130.7 |
|
1991 |
136.2 |
|
1992 |
140.3 |
|
1992 |
144.5 |
|
1994 |
148.2 |
|
1995 |
152.4 |
|
1996 |
156.9 |
|
1997 |
160.5 |
|
1998 |
163.0 |
|
1999 |
166.6 |
|
2000 |
172.2 |
|
2001 |
177.1 |
|
2002 |
179.9 |
|
2003 |
184.0 |
|
2004 |
188.9 |
|
2005 |
195.3 |
|
2006 |
201.6 |
|
2007 |
207.3 |
|
2008 |
215.3 |
|
2009 |
214.5 |
|
2010 |
218.1 |
|
2011 |
224.9 |
|
2012 |
229.6 |
|
2013 |
232.9 |
|
2014 |
236.7 |
|
2015 |
237.0 |
|
2016 |
240.0 |
|
2017 |
245.1 |
|
2018 |
251.1 |
|
2019 |
255.6 |
How Much Did Things Cost in the “Good Old Days”?
Have you ever heard your parents or grandparents say, “Back in my day, a loaf of bread only cost a nickel and a gallon of gas only cost a quarter”? How can it be that things were so much cheaper back then? Were they really cheaper? You will try to answer this question by comparing modern prices to historical prices and calculating the percent increase in prices. To do so, you will examine prices of two goods: movie tickets and a McDonald’s Big Mac®.
Calculating Percent Change in Price
Percent change in price is calculated by dividing the amount of change in price by the original price and multiplying the result by 100. If the price has increased, percent change will be positive, and if the price has decreased, the percent change will be negative. The formula for calculating percent change in price:
New price – Old price × 100 OR Price (Year 2) – Price (Year 1) × 100
Old price Price (Year 1)
Historic Prices
|
Goods |
Price in 1986 (nominal price) |
Price in 2019 (nominal price) |
Percent Change in Nominal Price |
|
Movie Ticket |
$3.71 |
$9.25 |
|
|
McDonalds Big Mac |
$1.80 |
$3.99 |
you need to know to draw a conclusion?
In: Accounting
PC Connection and CDW are two online retailers that compete in an Internet market for digital cameras. While the products they sell are similar, the firms attempt to differentiate themselves through their service policies. Over the last couple of months, PC Connection has matched CDW’s price cuts, but has not matched its price increases. Suppose that when PC Connection matches CDW’s price changes, the inverse demand curve for CDW’s cameras is given by P = 1,200 - 2Q. When it does not match price changes, CDW’s inverse demand curve is P = 900 -0.5Q. Based on this information, determine CDW’s inverse demand function over the last couple of months.
P = ____- ____ Q if Q ≤ 200
____- ____ Q if Q ≥ 200
Over what range will changes in marginal cost have no effect on CDW’s profit-maximizing level of output?
$ _____to $ _______
In: Economics
Jeremy worked at a bank with a monthly salary of $1,500. He
decided to quit his job and open a bookstore in his neighborhood.
He now pays $500 in rent, $80 in utilities, and $120 in wages every
month.
a. Suppose Jeremy sells 100 books at the price of $30
every month.
i. What is the monthly total revenue of Jeremy’s
bookstore?
ii. How much accounting profit does Jeremy make every
month?
iii. How much economic profit does Jeremy make every
month?
b. If Jeremy had not quit his job at the bank, he could
have been promoted and got a pay raise of 30 percent.
i. Will there be any changes in the monthly explicit
and implicit costs of Jeremy’s bookstore?
ii. Will there be any changes in the accounting profits
of Jeremy’s bookstore?
iii. Will there be any changes in the economic profits
of Jeremy’s bookstore?
In: Economics
Review the tobacco -related milestones, notice the relationships between events such as advocacy groups activities, tobacco industry tactics, research reports, national policy, legislation, regulations, judicial and media advocacy. Notice changes in tobacco consumption in the United States and their relationship to the milestones in RWJFs project.
In your primary post, respond to the following, using complete sentences
Why might this report have “turned the tide” of smoking?
What effect might this report have had on policy makers?
b) Identify two additional changes (one policy & one communication- related) that impacted tobacco consumption and for each, describe the effect you saw, and describe why you think it had that effect.
What populations do you think these changes impacted most significantly and why? You may include personal story or reflection to support your case.
In: Nursing
Suppose the demand and supply curves are described by MC = 2.76 + 1.65Q WTP = 6.45 - 0.78Q
a. Suppose the price of a substitute decreases such that WTP changes by 1.5. Note this change in WTP may be positive or negative. What is the change in quantity demanded if the market price is 4.36?
(indicate the sign of the change here) + -
(Enter only a positive number here)
b. Suppose the price of a complement decreases such that WTP changes by 1.8. Note this change in WTP may be positive or negative. What is the change in quantity demanded if the market price is 4.36?
(indicate the sign of the change here) + -
(Enter only a positive number here)
c. Suppose income decreases and the good is inferior such that WTP changes by 1.7. Note this change in WTP may be positive or negative. What is the change in quantity demanded if the market price is 4.36?
(indicate the sign of the change here) + -
(Enter only a positive number here)
In: Economics
PC Connection and CDW are two online retailers that compete in
an Internet market for digital cameras. While the products they
sell are similar, the firms attempt to differentiate themselves
through their service policies. Over the last couple of months, PC
Connection has matched CDW’s price cuts, but has not matched its
price increases. Suppose that when PC Connection matches CDW’s
price changes, the inverse demand curve for CDW’s cameras is given
by P = 1,000 - 2Q. When it does not match price
changes, CDW’s inverse demand curve is P = 700
-0.5Q. Based on this information, determine CDW’s inverse
demand function over the last couple of months.
P =______ - ________ Q if Q ≤ 200
______ - _______ Q
if Q ≥ 200
Over what range will changes in marginal cost have no effect on
CDW’s profit-maximizing level of output?
$ _________ to $__________
In: Economics
Alan Tan is the CEO for an airline company. The company has a large proportion of its aircraft leased from manufacturers under lease agreements that can be cancelled at any time with minimal penalties. At the end of the period starting on 1 January 2019, looking at the statement of financial position prepared by the company accountant, Joyce Maine, Alan noticed a large increase in the total assets and liabilities. Not being aware of any major restructuring activities or investments during the period but having heard about a change in the accounting rules governing leases, Alan asks Joyce to prepare a report describing how the changes in those accounting rules affect the company.
Required
Joyce approaches you, a junior accountant, to summarise the changes in the treatment of some leases that caused the large increase in the total assets and liabilities. Provide a short description of those changes to Joyce.
In: Accounting
The summaries of data from the balance sheet, income statement,
and retained earnings statement for two corporations, Cullumber
Corporation and Blossom Enterprises, are presented below for 2022.
Determine the missing amounts. Assume all changes in stockholders'
equity are due to changes in retained earnings.
| Cullumber Corporation | Blossom Enterprises | |||||
|---|---|---|---|---|---|---|
|
Beginning of year |
||||||
|
Total assets |
$120,000 | $155,000 | ||||
|
Total liabilities |
89,000 | (d) enter a dollar amount | ||||
|
Total stockholders' equity |
(a) enter a dollar amount | 78,000 | ||||
|
End of year |
||||||
|
Total assets |
(b) enter a dollar amount | 215,000 | ||||
|
Total liabilities |
128,000 | 60,000 | ||||
|
Total stockholders' equity |
72,000 | (e) enter a dollar amount | ||||
|
Changes during year in retained |
||||||
|
Dividends |
(c) enter a dollar amount | 4,900 | ||||
|
Total revenues |
242,000 | (f) enter a dollar amount | ||||
|
Total expenses |
151,000 | |||||
In: Accounting