1. Explain each of the four slopes (Period, Q1, Q2, Q3).   2. How many new customers would you expect in the second quarter of the following year (2019)?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A major brokerage company has an office in Miami, Florida. The manager of the office is evaluated based on the number of new clients generated each quarter. Data were collected that show the number of new customers added during each quarter between 2015 and 2018.

A multiple regression model was developed with the number of new customers as the dependent and the following four independent variables:

  • Period (1, …, 16): A variable that measures the trend;
  • Q1 = 1 for first quarter, Q1 = 0 otherwise;
  • Q2 = 1 for second quarter, Q2 = 0 otherwise;
  • Q3 = 1 for third quarter, Q3 = 0 otherwise.

Questions: 

 1. Explain each of the four slopes (Period, Q1, Q2, Q3). 

 2. How many new customers would you expect in the second quarter of the following year (2019)?

Year Quarter New Clients
2015
2016
2017
2018
1
2
3
4
1
2
3
4
1
2
3
4
1234
218
190
236
218
250
220
265
241
284
268
303
270
319
301
328
306
Period
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Q1
1
0
0
0
1
0
0
0
1
0
0
0
1
000
Q2
0
1
0
0
0
1
0
0
0
1
0
0
OLOO
0
1
0
0
Q3
OOHO
0
0
1
0
OO
0
0
LO
1
0
OO
0
0
HO
1
0
COLO
0
0
1
0
Transcribed Image Text:Year Quarter New Clients 2015 2016 2017 2018 1 2 3 4 1 2 3 4 1 2 3 4 1234 218 190 236 218 250 220 265 241 284 268 303 270 319 301 328 306 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Q1 1 0 0 0 1 0 0 0 1 0 0 0 1 000 Q2 0 1 0 0 0 1 0 0 0 1 0 0 OLOO 0 1 0 0 Q3 OOHO 0 0 1 0 OO 0 0 LO 1 0 OO 0 0 HO 1 0 COLO 0 0 1 0
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Period
Q1
Q2
Q3
0.993220412
0.986486786
0.98157289
5.583559471
df
16
4
11
15
Coefficients
175.9375
8.28125
33.84375
2.5625
32.53125
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Period Q1 Q2 Q3 0.993220412 0.986486786 0.98157289 5.583559471 df 16 4 11 15 Coefficients 175.9375 8.28125 33.84375 2.5625 32.53125
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