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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. The manager of a grocery store selected a random sample of 11 customers to investigate the relationship
between the number of customers in a checkout line and the time to finish checkout. As soon as the selected
customer entered the end of a checkout line, data were collected on the number of customers in line who were in
front of the selected customer and the time, in seconds, until the selected customer was finished with the
checkout. The data are shown in the following scatterplot along with the corresponding least-squares regression
line and computer output.
1,250T
1,000+
750+
500-
wwplc of 300
250+
+
+
1 2 3 4 5 6 7
Customers in Line
Predictor
Coef
SE Coef
Constant
72.95
110.36
0.66
0.525
Customers in line
174.40
35.06
4.97
0.001
S = 200.01
R-Sq = 73.33%
R-Sq (adj) = 70.37%
(a) Identify and interpret in context the estimate of the intercept for the least-squares regression line.
(b) Identify and interpret in context the coefficient of determination, r.
(c) One of the data points was determined to be an outlier. Circle the point on the scatterplot and explain why
the point is considered an outlier.
Time (seconds)
Transcribed Image Text:1. The manager of a grocery store selected a random sample of 11 customers to investigate the relationship between the number of customers in a checkout line and the time to finish checkout. As soon as the selected customer entered the end of a checkout line, data were collected on the number of customers in line who were in front of the selected customer and the time, in seconds, until the selected customer was finished with the checkout. The data are shown in the following scatterplot along with the corresponding least-squares regression line and computer output. 1,250T 1,000+ 750+ 500- wwplc of 300 250+ + + 1 2 3 4 5 6 7 Customers in Line Predictor Coef SE Coef Constant 72.95 110.36 0.66 0.525 Customers in line 174.40 35.06 4.97 0.001 S = 200.01 R-Sq = 73.33% R-Sq (adj) = 70.37% (a) Identify and interpret in context the estimate of the intercept for the least-squares regression line. (b) Identify and interpret in context the coefficient of determination, r. (c) One of the data points was determined to be an outlier. Circle the point on the scatterplot and explain why the point is considered an outlier. Time (seconds)
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