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essentials of econometrics
Questions and Answers of
Essentials Of Econometrics
For each of the following pairs, explain why you believe that they are positively related, negatively related, or essentially unrelated. If they are related, identify the dependent variable.a. The
Figure 8.13 is a scatter diagram of the annual rates of return on Apple and Microsoft stock during the years 1998–2008:a. What was the highest annual return for Apple?b. What was the lowest annual
Use the data in Table 1.2 to calculate least squares estimates of the relationship between income and spending. What is the estimated slope? Table 1.2: Family Income and Spending, 1935-1936 [12]
Use the data in Table 1.6 to estimate a simple linear regression model where the dependent variable is 2003 prices and the explanatory variable is the hard drive size. Size (Gigabytes) 2003 2004 2005
Use the data in Table 1.6 to estimate a simple linear regression model where the dependent variable is 2007 prices and the explanatory variable is the hard drive size. Size (Gigabytes) 2003 2004 2005
Use the data in Table 1.6 to estimate a simple linear regression model wherea. The dependent variable is the price of a 80 GB hard drive and the explanatory variable is the year.b. The dependent
Use the data in Table 1.6 to estimate a simple linear regression model wherea. The dependent variable is the price of a 200 GB hard drive and the explanatory variable is the year.b. The dependent
Table 8.1 shows average monthly U.S. housing starts (in thousands). Estimate a simple linear regression model where the dependent variable is the number of housing starts and the explanatory variable
A least squares regression was used to estimate the relationship between the dollar price P of 45 used 2001 Audi A4 2.8L sedans with manual transmission and the number of miles M the car had been
Use the government saving and GDP data in Exercise 2.29 to calculate the ratio of government saving to GDP each year from 1990 through 2009. Then use least squares to estimate the model Y = α + βX
Plutonium has been produced in Hanford, Washington, since the 1940s, and some radioactive waste has leaked into the Columbia River, possibly contaminating the water supplies of Oregon residents
Use the Vostok data in Exercise 2.28 to estimate the regression models C = α1 + β1A + ε1and A = α2 + β2D + ε2. Write a brief essay summarizing your findings.Exercise 2.28The Soviet Antarctica
Many investors look at the beta coefficients provided by investment advisors based on least squares estimates of the model Ri = α + βRM + ε, where Ri is the rate of return on a stock and RM is the
Many investors look at the beta coefficients provided by investment advisors based on least squares estimates of the model Ri = α + βRM + ε, where Ri is the rate of return on a stock and RM is the
In a 1993 election in the second senatorial district in Philadelphia, which would determine which party controlled the Pennsylvania State Senate, the Republican candidate won based on the votes cast
The Australian Bureau of Meteorology calculates the Southern Oscillation Index(SOI) from the monthly air pressure difference between Tahiti and Darwin, Australia.Negative values of the SOI indicate
Table 8.3 shows decade averages of annual precipitation (mm) in the contiguous United States. Letting Y be precipitation and X be the decade midpoints, 1905, 1915, and so on, draw a scatter diagram
The effective delivery and care of newborn babies can be aided by accurate estimates of birth weight. A study [6] attempted to predict the birth weight of babies for 11 women with abnormal
How do you suppose that least squares coefficient estimates, standard errors, t values, and R2 would be affected by a doubling of the number of observations, with the new data exactly replicating the
Table 8.5 shows the prepregnancy weights of 25 mothers and the birth weights of their children, both in kilograms [7].a. Which would you use as the dependent variable and which as the explanatory
The following regression equation was estimated using data on college applicants who were admitted both to Pomona College and another college ranked among the top 20 small liberal arts colleges by
A Denver study looked at the relationship between climate and the age at which infants begin crawling [8]. (It was suspected that crawling is delayed when infants wear heavy clothing.) Tables 8.6
A student used least squares to estimate the relationship between the number of games won by a football team (Y) and the number of serious injuries suffered by the players(X). He concluded that
In American college football, Rivals.com constructs a widely followed index for rating colleges based on the high school players they recruit and Jeff Sagarin constructs a highly regarded system for
A study [9] of 173,524 births in Sweden between 1983 and 1987 used the data in Table 8.8 on late fetal deaths (stillbirth at a gestation of 28 weeks or longer) and early neonatal deaths (during the
Answer the questions in Exercise 8.26, this time using early neonatal death rates per 1,000 births.Exercise 8.26A study [9] of 173,524 births in Sweden between 1983 and 1987 used the data in Table
Table 8.9 shows the systolic and diastolic blood pressure readings (both in mmHG)for 26 healthy young adults [10]. Ignoring gender, use all 26 observations to estimate a linear regression model with
Table 8.10 shows cricket chirps per minute and temperature in degrees Fahrenheit for the striped ground cricket [11]. Which is the dependent variable? Draw a scatter diagram with the cricket chirps
A student estimated a regression model that used the number of pages in bestselling hardcover books to predict the book’s price. Explain why this conclusion is wrong: “The 0.75 R2 is pretty
Table 8.11 shows the age and bone density of 25 women between the ages of 15 and 45 who died between 1729 and 1852 [12]. For a sample of modern-day British women of similar ages, the relationship
Soccer enthusiasts have long debated how to decide tournament games in which the score is a tie but a winner must be determined. If the game is allowed to continue until one team scores a deciding
A random sample of 100 college students was asked to rate their courses on a scale of 1 to 10 (10 being best) and state their grade in the course on a scale of 1 to 12 (A = 12, A− = 11, and so on).
A 1991 survey of 47 college sophomores investigated the relationship between the amount of time spent studying and one’s grades. A least squares regression gave these results:where Y = grade point
Data were obtained for 108 cars on their price (X) and the time (Y) in seconds for the car to accelerate from 0 to 60 miles per hour. The average value of X is $23,429 and the average value of Y is
In the 1960s, the data in Table 8.12 were collected for 21 countries on deaths from coronary heart disease per 100,000 persons of age 35–64, and annual per capita cigarette consumption [13]. Draw a
To investigate whether economic events influence presidential elections, draw a scatter diagram and estimate the equation Y = α + βX + ε using the Table 8.13 data on X, the change in the
Data were collected on eruptions of the Old Faithful geyser [14]. A least squares regression using 99 observations on the time between eruptions Y (in minutes) and the duration X (in seconds) of the
A least squares regression using 99 observations on the height Y (in feet) of Old Faithful eruptions and the duration X (in seconds) of an eruption yielded these results(R2 = 0.02 and the standard
Figure 8.15 shows a graph of state senatorial elections in Philadelphia from 1982 through 1993. Table 8.14 shows the data (Democrat minus Republican) for the 21 elections preceding the disputed 1993
Table 8.15 shows the average weight (in pounds) for 18- to 24-year-old U.S. men of different heights (measured in inches above 5 feet). Use least squares to estimate the relationship between height
Table 8.16 shows the average weight (in pounds) for 18- to 24-year-old U.S. women of different heights (measured in inches above 5 feet). Use least squares to estimate the relationship between height
Chapter 8 includes a discussion of a study comparing the economic status of 4,121 women who immigrated to California from another county with the economic status of their adult daughters. Economic
The procedure used in Exercise 8.44 was also applied to mother-daughter pairs where the adult daughter lived in the same ZIP code she was born in and to mother-daughter pairs where the daughter moved
A zero coupon bond (a “zero”) pays a specified amount of money when it matures and nothing before the bond’s maturity. Financial theory teaches that the volatility of the price of a zero is
A classic study [15] of the IQ scores of 34 identical twins who were raised apart used the intelligence scores in Table 8.18. Draw a scatter diagram and calculate the R2 for a regression of the
Southern California casinos were given “location values” based on how close they are to households of various income levels and the location of competing casinos.A casino has a higher location
The data in Table 8.20 are for 16 three-digit ZIP codes within 4 hours’ driving time of a Southern California casino. The driving time to the casino is in hours and the gambling activity is the
The high desert area of Southern California is 80 to 90 miles from Newport Beach, Disneyland, and the Staples Center, and perhaps more significantly, 35–45 miles from jobs in the San Bernardino
Table 1-6 on the textbook website contains data on 1,247 cars for 2008.14 To find out if there is there a relationship between a car’s MPG (miles per gallon) and the number of cylinders it has:a.
Table 1-4 on the book's website gives monthly data on the closing prices of the Dow Jones Industrial Average and the Standard & Poor's 500 stock market indexes. The data are from Yahoo Finance's
Table 1-2 on the website updates the data given in Table 1-1 for the years 2001–2016. For the years 2001–2007, the CLFR and CUNR figures are the same as those shown in Table 1-1. However, the
Table 1-5 on the book's website gives data on the exchange rate between the U.K. pound and the U.S. dollar (number of U.K. pounds per U.S. dollar), as well as the consumer price indexes in the two
Table 1-7 on the book’s website gives data on Corruption Perception Index and GDP per worker.a. Plot Corruption Perception Index against GDP per worker.b. A priori, what kind of relationship do you
Table 1-8 on the book's website gives quarterly data on real personal consumption expenditure (RPCE) and real personal disposable (after-tax) income (RPDI) for the years 2014–2019.a. Plot RPCE and
Table 1.9 on the book's website gives data on the following variables for 99 countries obtained from the Human Development Report for 1994. LifeExp = 1992 life expectancy at birth TV =
Table 1-7 on the book’s website gives data for 83 countries on per worker GDP for 1997 and the Corruption Perception Index for 1998.a. Plot the index against per-worker GDP.b. Based on the plot,
Find out if the GDP and money supply time series given in Table 11-7 (on the book's website) are individually stationary. If not, are their first differences stationary? Are the two time series
Table 11-10 on the book's website gives annual data on the German-U.S. exchange rate for the Period 1, 1950 to 2010.a. Plot the data in this table. What does a visual inspection of the data tell
From the website of the Frees book cited earlier, obtain panel data of your liking and estimate the model using the various panel estimation techniques discussed in this chapter.
Explain why most economic time-series data show positive autocorrelation.
Explain intuitively why the method of weighted least squares (WLS) is superior to OLS if heteroscedasticity is present.
What is the difference between perfect and imperfect multicollinearity?
What is meant by collinearity? And by multicollinearity?
Would you reestimate Equation (5.22) dropping the intercept? Why or why not? Y = -0.2594+20.5880 T t=(-0.2572) (4.3996) X, r² = 0.6594 2.2 (5.22)
What are the consequences of including irrelevant variables in a model?
What are different types of specification errors? Can one or more of these errors occur simultaneously?
Since we do not observe the PRF, why bother studying it? Comment on this statement.
Based on the data for 1947–2002, Kellsted and Whitten obtained the following regression: M₁ = 74.00 -2.71GDPt where M = percentage of households in which a married couple is present and GDP
President Joe Biden plans to propose to the U.S. Congress an infrastructure investment plan (highways, bridges, tunnels, etc.) at a cost of about $2 trillion. To pay for this, he also plans to
How do you perceive the role of econometrics in decision making in business and government?
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