To study cockpit sound level (the variable Noise) the following data was taken on 59 plane flights: Phase (categorical variable that describes the phase of the flight as climb, cruise and descent) and Speed (airspeed in knots). To include the categorical variable Phase in regression models the indicator variables Climb and Descent were added to the data. A subset of the

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To study cockpit sound level (the
variable Noise) the following data was taken on 59
plane flights: Phase (categorical variable that
describes the phase of the flight as climb, cruise and
descent) and Speed (airspeed in knots). To include
the categorical variable Phase in regression models
the indicator variables Climb and Descent were
added to the data. A subset of the 59 observations
appear in the table to the right.

To assess if Noise depends on flight phase and airspeed you use Excel to fit the
regression model using Noise as the Y or dependent variable with Climb, Descent and
Speed as the independent or X variables. A portion of the Excel output appears below.

a)  Use the regression model to predict Noise for a flight in the Cruise phase
with a speed of 310.
b)  Sketch the above regression model in the Noise (Y) - Speed (X) plane.
Your sketch should clearly indicate the number of lines. For each line you should
have a label to indicate the category and include values for the slope and intercept.

Noise
83
89
88
89
92
85
84
92
92
93
Phase
Climb Descent Speed
Climb
1
0
250
Climb
1
0
340
Climb
1
320
Cruise
0
330
Cruise
0
346
Cruise
0
260
Descent
0
280
Descent 0
395
Descent 0
380
Descent
0
400
0
0
0
0
1
1
1
1
Transcribed Image Text:Noise 83 89 88 89 92 85 84 92 92 93 Phase Climb Descent Speed Climb 1 0 250 Climb 1 0 340 Climb 1 320 Cruise 0 330 Cruise 0 346 Cruise 0 260 Descent 0 280 Descent 0 395 Descent 0 380 Descent 0 400 0 0 0 0 1 1 1 1
Intercept
Climb
Descent
Speed
Coefficients Standard Error
64.00
-0.47
-1.18
0.08
1.212
0.450
0.456
0.004
t Stat
52.80
-1.05
-2.59
22.54
P-value
4.26E-50
0.3003
0.0121
4.53E-30
Transcribed Image Text:Intercept Climb Descent Speed Coefficients Standard Error 64.00 -0.47 -1.18 0.08 1.212 0.450 0.456 0.004 t Stat 52.80 -1.05 -2.59 22.54 P-value 4.26E-50 0.3003 0.0121 4.53E-30
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