12-1 MULTIPLE LINEAR REGRESSION MODEL 427(SOAKPCT, SOAKTIME), and carbon concentration and
duration of the diffuse cycle (DIFFPCT, DIFFTIME).
(a) Fit a linear regression model relating the results of the pitch
carbon analysis test (PITCH) to the five regressor variables.
(b) Estimate 2.
(c) Find the standard errors
(d) Use the model in part (a) to predict PITCH when
TEMP1650, SOAKTIME1.00, SOAKPCT1.10,
DIFFTIME1.00, and DIFFPCT0.80.
12-11. Statistics for 21 National Hockey League teams
were obtained from the Hockey Encyclopediaand are shown
in Table 12-8.se 1 ˆj 2.The variables and definitions are as follows:
Wins Number of games won in a season.
Pts Points awarded in a season. Two points for win-
ning a game, one point for losing in overtime,
zero points for losing in regular time.
GF Goals for. Total goals scored during the season.
GA Goals against. Goals scored against the team dur-
ing the season.
PPG Power play goals. Points scored while on power
play.
PPcT Power play percentage. The number of power
play goals divided by the number of power play
opportunities.Table 12-7
TEMP SOAKTIME SOAKPCT DIFFTIME DIFFPCT PITCH
1650 0.58 1.10 0.25 0.90 0.013
1650 0.66 1.10 0.33 0.90 0.016
1650 0.66 1.10 0.33 0.90 0.015
1650 0.66 1.10 0.33 0.95 0.016
1600 0.66 1.15 0.33 1.00 0.015
1600 0.66 1.15 0.33 1.00 0.016
1650 1.00 1.10 0.50 0.80 0.014
1650 1.17 1.10 0.58 0.80 0.021
1650 1.17 1.10 0.58 0.80 0.018
1650 1.17 1.10 0.58 0.80 0.019
1650 1.17 1.10 0.58 0.90 0.021
1650 1.17 1.10 0.58 0.90 0.019
1650 1.17 1.15 0.58 0.90 0.021
1650 1.20 1.15 1.10 0.80 0.025
1650 2.00 1.15 1.00 0.80 0.025
1650 2.00 1.10 1.10 0.80 0.026
1650 2.20 1.10 1.10 0.80 0.024
1650 2.20 1.10 1.10 0.80 0.025
1650 2.20 1.15 1.10 0.80 0.024
1650 2.20 1.10 1.10 0.90 0.025
1650 2.20 1.10 1.10 0.90 0.027
1650 2.20 1.10 1.50 0.90 0.026
1650 3.00 1.15 1.50 0.80 0.029
1650 3.00 1.10 1.50 0.70 0.030
1650 3.00 1.10 1.50 0.75 0.028
1650 3.00 1.15 1.66 0.85 0.032
1650 3.33 1.10 1.50 0.80 0.033
1700 4.00 1.10 1.50 0.70 0.039
1650 4.00 1.10 1.50 0.70 0.040
1650 4.00 1.15 1.50 0.85 0.035
1700 12.50 1.00 1.50 0.70 0.056
1700 18.50 1.00 1.50 0.70 0.068c 12 .qxd 5/20/02 9:32 M Page 427 RK UL 6 RK UL 6:Desktop Folder:TEMP WORK:MONTGOMERY:REVISES UPLO D CH114 FIN L:Quark Files: