Assignment:
Q1) For the problem, you may not make any assumptions concerning normality, etc
The following data represent the number of wins as of March 7, 2005 for the 30 NBA (National Basketball Association) teams
Eastern Conference Western Conference
Atlantic Division Southwest Division
Boston 31 San Antonio 46
Philly 29 Dallas 38
New Jersey 26 Houston 34
New York 25 Memphis 33
Toronto 25 New Orleans 13
Southeast Division Northwest Division
Miami 45 Seattle 41
Washington 33 Denver 30
Orlando 31 Minnesota 30
Charlotte 12 Portland 22
Atlanta 10 Utah 20
Central Division Pacific Division
Detroit 36 Phoenix 45
Cleveland 31 Sacramento 37
Chicago 29 Lakers 29
Indiana 29 Clippers 26
Milwaukee 24 Golden State 18
a) Sportscasters often state that the Western Conference is stronger than the Eastern Conference. Use the appropriate nonparametric rank test to see if this is true.
b) Similarly, test to see if the 8 teams with the most wins in the Western Division are stronger than the top 8 teams in the Eastern Division.
Q2) The following data are given for 20 automobiles.
MPG Horsepower Weight Car's Age Teenage Driver
17 240 4485 2 Yes
21 225 3860 4 No
26 160 2780 1 No
22 225 3520 5 No
20 170 3745 4 No
18 220 3915 4 No
22 184 3390 1 No
19 184 3575 2 No
14 225 4715 3 Yes
20 205 3640 2 No
21 205 3880 1 No
15 185 4230 6 Yes
19 275 4070 4 No
20 180 3495 2 No
22 170 3050 3 No
12 285 5590 3 Yes
20 127 3055 1 Yes
14 270 4660 1 Yes
19 185 3990 2 No
21 250 3620 1 No
a) Develop the regression for this data that attempts to relate the mileage to the other variables
b) Which coefficients are significant?
c) Predict the mileage for a 210 horsepower car weighing 4000 pounds which is 3 years old and driven by a teenager.
d) How much of the variation in mileage is due to the independent variables?
Q3) In the analysis for this problem, you may make necessary assumptions such as normality, etc. It has been stated that the arrival of Southwest Airlines in Philadelphia has had an impact in lowering the prices of airline tickets in Philadelphia. To test this assumption, the following data was obtained. These data are the round-trip costs of a coach ticket for travel on March 30 and returning on April 6.
Five cities services by Southwest from Philadelphia were randomly selected. The cost data are:
SW USAIR DELTA AA CONT
HOU 218 204 212 215 203
LAX 178 178 231 231 191
KC 214 216 308 138 188
NASHVILLE 195 182 233 213 152
CHI 158 158 146 178 177
Next, five cities not serviced by Southwest were chosen to represent flights similar to the flights serviced by Southwest For example, the inclusion of LAX (Los Angeles) resulted in the selection of SFO (San Francisco). The cities selected here corresponded to a city in the first data set in terms of similar mileage (given below) and direction from Philadelphia.
USAIR DELTA AA CONT
DFW 218 339 218 261
SFO 284 468 295 300
MSP 178 356 189 424
MEMPHIS 191 258 185 265
MILWAULEE 187 188 188 148
Miles from Philadelphia
LAS 2717 SFO 2878
HOU 1550 DFW 1469
CHI 759 MIL 857
NASH 804 MEMP 1016
K.C. 1129 MSP 1158
a) Test to see if Southwest has had an impact in lowering prices.
b) What other data might be important in testing the impact of Southwest? (The data 2 years ago before Southwest appeared would be helpful).