Chapter 7, Section 2, Exercise 032
Find the expected count and the contribution to the chi-square statistic for the (B,E) cell in the two-way table below.
| D | E | F | G | Total | |
|---|---|---|---|---|---|
| A | 39 | 31 | 39 | 39 | 148 |
| B | 74 | 87 | 68 | 53 | 282 |
| C | 17 | 35 | 27 | 27 | 106 |
| Total | 130 | 153 | 134 | 119 | 536 |
Round your answer for the expected count to one decimal place, and
your answer for the contribution to the chi-square statistic to
three decimal places.
Expected count =
contribution to the chi-square statistic =
In: Statistics and Probability
In: Finance
The general fund budget (in billions of dollars) for a U.S. state for 1988 (period 1) to 2011 (period 24) follows.
| Year | Period | Budget ($ billions) |
|---|---|---|
| 1988 | 1 | 3.03 |
| 1989 | 2 | 3.29 |
| 1990 | 3 | 3.56 |
| 1991 | 4 | 4.41 |
| 1992 | 5 | 4.46 |
| 1993 | 6 | 4.61 |
| 1994 | 7 | 4.65 |
| 1995 | 8 | 5.15 |
| 1996 | 9 | 5.34 |
| 1997 | 10 | 5.66 |
| 1998 | 11 | 6.01 |
| 1999 | 12 | 6.20 |
| 2000 | 13 | 6.48 |
| 2001 | 14 | 6.75 |
| 2002 | 15 | 6.66 |
| 2003 | 16 | 6.78 |
| 2004 | 17 | 7.08 |
| 2005 | 18 | 7.65 |
| 2006 | 19 | 8.48 |
| 2007 | 20 | 8.57 |
| 2008 | 21 | 8.76 |
| 2009 | 22 | 8.53 |
| 2010 | 23 | 8.23 |
| 2011 | 24 | 8.76 |
Develop a linear trend equation for this time series to forecast the budget (in billions of dollars). (Round your numerical values to three decimal places.)
Tt =
(c)What is the forecast (in billions of dollars) for period 25? (Round your answer to two decimal places.)
$ billion
A certain company produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy, they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is shown.
| Year | Revenue |
|---|---|
| 1 | 8.43 |
| 2 | 10.74 |
| 3 | 13.08 |
| 4 | 14.11 |
| 5 | 16.41 |
| 6 | 17.21 |
| 7 | 18.47 |
| 8 | 18.55 |
| 9 | 18.40 |
| 10 | 18.43 |
(b) Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast revenue (in millions of dollars). (Round your numerical values to three decimal places.)
Tt =
(c) Using the trend equation developed in part (b), forecast revenue (in millions of dollars) in year 11. (Round your answer to two decimal places.)
$ million
In: Statistics and Probability
The general fund budget (in billions of dollars) for a U.S. state for 1988 (period 1) to 2011 (period 24) follows.
| Year | Period | Budget ($ billions) |
|---|---|---|
| 1988 | 1 | 3.03 |
| 1989 | 2 | 3.29 |
| 1990 | 3 | 3.56 |
| 1991 | 4 | 4.41 |
| 1992 | 5 | 4.46 |
| 1993 | 6 | 4.61 |
| 1994 | 7 | 4.65 |
| 1995 | 8 | 5.15 |
| 1996 | 9 | 5.34 |
| 1997 | 10 | 5.66 |
| 1998 | 11 | 6.01 |
| 1999 | 12 | 6.20 |
| 2000 | 13 | 6.48 |
| 2001 | 14 | 6.75 |
| 2002 | 15 | 6.56 |
| 2003 | 16 | 6.78 |
| 2004 | 17 | 7.08 |
| 2005 | 18 | 7.65 |
| 2006 | 19 | 8.48 |
| 2007 | 20 | 8.57 |
| 2008 | 21 | 8.76 |
| 2009 | 22 | 8.53 |
| 2010 | 23 | 8.33 |
| 2011 | 24 | 8.76 |
Develop a linear trend equation for this time series to forecast the budget (in billions of dollars). (Round your numerical values to three decimal places.)
Tt =
(c) What is the forecast (in billions of dollars) for period 25? (Round your answer to two decimal places.)
$ billion
A certain company produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy, they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is shown.
| Year | Revenue |
|---|---|
| 1 | 8.43 |
| 2 | 10.74 |
| 3 | 12.98 |
| 4 | 14.11 |
| 5 | 16.21 |
| 6 | 17.31 |
| 7 | 18.37 |
| 8 | 18.45 |
| 9 | 18.40 |
| 10 | 18.53 |
Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast revenue (in millions of dollars). (Round your numerical values to three decimal places.)
Tt =
(c) Using the trend equation developed in part (b), forecast revenue (in millions of dollars) in year 11. (Round your answer to two decimal places.)
$ million
In: Statistics and Probability
Umbrella Corporation sold 700 tractors on January 1, 2006.
Umbrella paid $80,000 and $60,000, respectively, during 2006 and
2007 servicing the 3-year warranties that accompany the tractors.
The warranties are not an integral part of the sale. Of the total
revenues of $4.5 million derived from tractor sales, $450,000 were
attributable to the sale of warranties.
Umbrella estimated the total cost of servicing the 3-year
warranties to be $320,000 as of December 31, 2006 and revised that
estimate to $140,000 on December 31, 2007. Umbrella records
warranty revenue prorata over the term of servicing the
warranties.
What is the balance of unearned warranty revenue as of December 31,
2007?
In: Accounting
1) The worksheet Engines in the HW8 data workbook on Moodle describe a suppliers shipments of engines per year to their customers from 1999 through 2018.
a) Use simple regression with Shipments as the independent or Y variable and Year as the dependent or X variable to fit the data. Determine MAE, MSE and MAPE for the simple regression model. Construct a chart that has the observed data and the fit line by Year. Use the simple regression model to predict Shipments for years 2019 and 2020.
b) Use a three time period Moving Average to fit the rate data. Determine MAE, MSE and MAPE for the Moving Average model. Construct a chart that has the observed data and the fit line by Year. Use the Moving Average model to predict Shipments for years 2019 and 2020.
c) Use exponential smoothing with a smoothing constant of 0.15 to fit the data. Determine MAE, MSE and MAPE for the exponential smoothing model. Use the model to forecast Shipments for years 2019 and 2020.
d) Short answer. Which of the three above forecasting models (simple regression, moving average and exponential smoothing) would you use to model the data and why would you use that model.
| Year | Shipments |
| 1999 | 157 |
| 2000 | 168 |
| 2001 | 186 |
| 2002 | 171 |
| 2003 | 198 |
| 2004 | 222 |
| 2005 | 246 |
| 2006 | 233 |
| 2007 | 342 |
| 2008 | 413 |
| 2009 | 517 |
| 2010 | 588 |
| 2011 | 600 |
| 2012 | 524 |
| 2013 | 384 |
| 2014 | 403 |
| 2015 | 522 |
| 2016 | 604 |
| 2017 | 815 |
| 2018 | 955 |
In: Statistics and Probability
You have the following historical annual total returns on Terlingua Oil & Gas Exploration:
| Year | Annual total return (%) |
| 2001 | 8% |
| 2002 | -8% |
| 2003 | 17% |
| 2004 | 20% |
| 2005 | 13% |
| 2006 | 4% |
| 2007 | -4% |
| 2008 | 5% |
| 2009 | -5% |
| 2010 | 5% |
Calculate the sample standard deviation of annual return.
Do not round at intermediate steps in your calculation. Express your answer in percent. Round to two decimal places. Do not type the % symbol.
In: Finance
Find both the arithmetic growth rate and the geometric growth rate of the dividends for Queen Bee Limited.
|
Year |
2001 |
2002 |
2003 |
2004 |
2005 |
2006 |
2007 |
2008 |
2009 |
2010 |
|
|
Dividend |
$10.76 |
$12.28 |
$13.01 |
$14.23 |
$15.18 |
$16.72 |
$17.11 |
$18.26 |
$18.61 |
$17.64 |
What is the arithmetic growth rate of the dividends for Queen Bee Limited?
(Round to two decimal places.)
What is the geometric growth rate of the dividends for Queen Bee Limited?
(Round to two decimal places.)
In: Finance
ou have the following historical annual total returns on Terlingua Oil & Gas Exploration:
Year Annual total return (%)
2001 -9%
2002 -2%
2003 19%
2004 3%
2005 2%
2006 4%
2007 7%
2008 -8%
2009 5%
2010 3%
Calculate the sample standard deviation of annual return. Do not round at intermediate steps in your calculation. Express your answer in percent. Round to two decimal places. Do not type the % symbol.
In: Finance
A bond issued on February 1, 2004 with face value of $47400 has semiannual coupons of 4.5%, and can be redeemed for par (face value) on February 1, 2021. What is the accrued interest and the market price (the “clean” price) of the bond on November 15, 2006, if the bond’s yield on that date is to be 6.5%? (use actual/actual for accrued interest).
please show steps and formula, Im really lost. I have tried multiple times, and dont understand where i went wrong.
In: Finance