In: Math
For the following description of data, identify the W's, name the variables, specify for each variable whether its use indicates it should be treated as categorical or quantitative, and for any quantitative variable identify the units in which it was measured (or note that they were not provided). Specify whether the data come from a designed survey or experiment. Are the variables time series or cross-sectional? Report any concerns you have as well.
A certain horse race has been run every year since
18711871
in a city. The accompanying table shows the official race data for the first two races and two recent races.
Year |
Winner |
Margin (lengths) |
Jockey |
Winner's Payoff ($) |
Duration (min:sec) |
Track Condition |
|
18711871 |
MidnightMidnight |
11 |
JamesJames |
29002900 |
2 : 37.502:37.50 |
SloppySloppy |
|
18721872 |
StormyStormy |
11 |
HughHugh |
38003800 |
2 : 37.002:37.00 |
SlowSlow |
|
... |
|||||||
20042004 |
LadyLady |
2 3 divided by 42 3/4 |
KimKim |
900 comma 000900,000 |
2 : 01.132:01.13 |
FastFast |
|
20052005 |
EinsteinEinstein |
4 3 divided by 44 3/4 |
BrunoBruno |
800 comma 000 |
Identify the "who." Choose the correct answer below.
A.
The horses that competed in the city's horse races
B.
The city's horse races
C.
Horse races
D.
This information is not given.
Identify the "what." Choose the correct answer below.
A.
Year, winner, margin, jockey, winner's payoff, duration, track condition
B.
Year, margin, winner's payoff, duration
C.
Winner, jockey, track condition
D.
This information is not given.
Identify the "when." Choose the correct answer below.
A.
May
B.
18711871-20052005
C.
18711871,
18721872,
20042004,
and 20052005
D.
This information is not given.
Identify the "where." Choose the correct answer below.
A.
All race tracks in the state
B.
The city where the horse races took place
C.
United States
D.
This information is not given.
Identify the "why." Choose the correct answer below.
A.
To see if the same horse won in multiple years
B.
To maintain a list of the winners
C.
To compare the times of the winners from year to year
D.
This information is not given.
Identify the "how." Choose the correct answer below.
A.
A chronic better recorded the data.
B.
A random sample of races was taken.
C.
Official statistics were collected at the time of the race.
D.
This information is not given.
Specify the categorical variables for this problem. Select all that apply.
A.
Winner
B.
Jockey
C.
Track Condition
D.
Winner's payoff
E.
Duration
F.
Year
G.
Margin
H.
There are no categorical variables.
Specify the quantitative variables and identify the units for this problem. Select all that apply.
A.
Year; the units are years
B.
Winner's payoff; the units are dollars
C.
Winner; the units not specified
D.
Track condition; the units not specified
E.
Jockey; the units not specified
F.
Duration; the units are minutes and seconds
G.
Margin; the units are lenghts
H.
There are no quantitative variables.
Specify whether the data come from a designed survey or experiment. Choose the correct answer below.
A.
Experiment
B.
Designed survey
C.
This information cannot be determined by the given data.
Are the variables time series or cross-sectional?
Time series
Cross-sectional
Neither
Specify any concerns. Select all that apply.
A.
The data sample size was too large.
B.
There are too many quantitative variables.
C.
The data collection was done incorrectly.
D.
There are no specific concerns.
Identify the "who." A. The horses that competed in the city's horse races
Identify the "what." A. Year, winner, margin, jockey, winner's payoff, duration, track condition
Identify the "when." B.18711871-20052005
Identify the "where." B. The city where the horse races took place
Identify the "why." C. To compare the times of the winners from year to year
Identify the "how." C.Official statistics were collected at the time of the race.
Specify the categorical variables for this problem.
B. Jockey
C. Track Condition
Specify the quantitative variables and identify the units for this problem.
A. Year; the units are years
B. Winner's payoff; the units are dollars
F. Duration; the units are minutes and seconds
G. Margin; the units are lengths
The data come from a designed survey.
The variables are cross-sectional.
Specify any concerns.
A. The data sample size was too large.
B. There are too many quantitative variables.