Determine the simple regression model to predict the waiting time Interpret the meaning of the regression coefficient of the independent variable What is the coefficient of determination? Interpret its meaning.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Last year, TimeWise conducted a study that aimed at predicting the waiting time (in minutes) at the
checkout line of the Ranch 99 Supermarket in South Jakarta based on the number of customers in one
particular month. Using the simple regression method on a dataset with a sample size of 30, the
regression output tables are given below:
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.88728417
R Square
0.7872732
Adjusted R Square 0.77967582
Standard Error
0.59521532
Observations
30
ANOVA
MS
Significance F
Regression
36.7121241
36.7121241 103.6242271
6.48782E-11
Residual
28
9.91987592
0.35428128
Total
29
46.632
Standard
Coefficients
Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
-0.4479791
0.2782914
-1.6097484
0.118670876 -1.018033233 0.12207495
Customers
0.12847188
0.01262053
10.1795986 6.48782E-11 0.102619905 0.15432385
a. Determine the simple regression model to predict the waiting time
b. Interpret the meaning of the regression coefficient of the independent variable
c. What is the coefficient of determination? Interpret its meaning.
d. Do you think this regression model is useful in predicting the waiting time at the Farmers'
Market?
e. On a particular day with 37 customers coming into the supermarket, what is the estimated
average waiting time in the check-out line?
Transcribed Image Text:Last year, TimeWise conducted a study that aimed at predicting the waiting time (in minutes) at the checkout line of the Ranch 99 Supermarket in South Jakarta based on the number of customers in one particular month. Using the simple regression method on a dataset with a sample size of 30, the regression output tables are given below: SUMMARY OUTPUT Regression Statistics Multiple R 0.88728417 R Square 0.7872732 Adjusted R Square 0.77967582 Standard Error 0.59521532 Observations 30 ANOVA MS Significance F Regression 36.7121241 36.7121241 103.6242271 6.48782E-11 Residual 28 9.91987592 0.35428128 Total 29 46.632 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept -0.4479791 0.2782914 -1.6097484 0.118670876 -1.018033233 0.12207495 Customers 0.12847188 0.01262053 10.1795986 6.48782E-11 0.102619905 0.15432385 a. Determine the simple regression model to predict the waiting time b. Interpret the meaning of the regression coefficient of the independent variable c. What is the coefficient of determination? Interpret its meaning. d. Do you think this regression model is useful in predicting the waiting time at the Farmers' Market? e. On a particular day with 37 customers coming into the supermarket, what is the estimated average waiting time in the check-out line?
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