Question

In: Statistics and Probability

Customers Morning Afternoon Evening Night 99 0 0 0 1 148 0 1 0 0 130...

Customers Morning Afternoon Evening Night
99 0 0 0 1
148 0 1 0 0
130 0 1 0 0
106 0 0 0 1
133 0 0 0 1
119 0 0 0 1
105 1 0 0 0
74 1 0 0 0
106 0 0 0 1
94 0 1 0 0
69 0 0 1 0
86 0 0 1 0
95 1 0 0 0
99 0 1 0 0
71 0 0 1 0
80 0 0 1 0
63 0 0 1 0
93 0 0 0 1
117 1 0 0 0
136 0 1 0 0
91 0 0 1 0
131 0 0 0 1
112 0 1 0 0
88 1 0 0 0
59 0 0 1 0
44 0 0 1 0
129 0 0 0 1
82 0 0 1 0
78 0 0 0 1
109 1 0 0 0
51 0 0 1 0
71 1 0 0 0
57 0 0 1 0
112 0 1 0 0
61 0 0 1 0
83 0 1 0 0
101 1 0 0 0
92 0 0 0 1
48 0 0 1 0
73 0 0 1 0
83 0 0 0 1
133 0 1 0 0
69 0 0 1 0
135 1 0 0 0
135 0 1 0 0
96 1 0 0 0
50 0 0 1 0
110 0 0 0 1
58 0 0 1 0
121 0 1 0 0
113 1 0 0 0
65 0 0 0 1
45 0 0 1 0
41 0 0 1 0
86 0 0 1 0
110 0 0 0 1
70 0 0 1 0
104 1 0 0 0
121 0 0 0 1
79 1 0 0 0
121 0 0 0 1
89 0 0 0 1
126 0 1 0 0
75 0 0 1 0
67 0 0 1 0
100 0 0 0 1
93 0 0 0 1
56 0 0 1 0
91 0 0 0 1
129 0 1 0 0
96 0 0 1 0
78 0 0 0 1
48 0 0 1 0
69 0 0 1 0
156 0 1 0 0
98 0 0 0 1
90 0 0 0 1
133 0 0 0 1
93 1 0 0 0
130 0 0 0 1
112 1 0 0 0
109 0 0 0 1
86 0 0 1 0
52 0 0 1 0
104 1 0 0 0
27 0 0 1 0
119 1 0 0 0
113 1 0 0 0
123 0 1 0 0
95 1 0 0 0
93 1 0 0 0
130 0 1 0 0
102 1 0 0 0
111 1 0 0 0
103 0 0 0 1
69 0 0 1 0
101 0 0 0 1
118 1 0 0 0
58 0 0 1 0
111 0 1 0 0
  1. What is the regression equation? Attach the Excel output.
  2. What is the predicted number of customers during the morning shifts?
  3. What is the predicted number of customers during the afternoon shifts
  4. What is the predicted number of customers during the evening shifts?
  5. What is the predicted number of customers during the night shifts?

Solutions

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Answer:

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.789459
R Square 0.623245
Adjusted R Square 0.601055
Standard Error 17.03472
Observations 100
ANOVA
df SS MS F Significance F
Regression 4 46083.06 11520.77 52.93586 2.23E-23
Residual 96 27857.45 290.1818
Total 100 73940.51
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 102.0435 3.551985 28.72858 6.17E-49 94.99284 109.0941 94.99284 109.0941
Morning 0 0 65535 #NUM! 0 0 0 0
Afternoon 20.19182 5.448496 3.705943 #NUM! 9.376636 31.007 9.376636 31.007
Evening -37.7622 4.656692 -8.10924 1.67E-12 -47.0057 -28.5188 -47.0057 -28.5188
Night 1.920807 4.79377 0.400688 0.68954 -7.59475 11.43637 -7.59475 11.43637

Customers = 102.0435 + 20.19*Afternoon-37.7622*Evening+1.921*Night

b)

In morning shift,

Customers = 102.0435 + 20.19*0-37.7622*0+1.921*0 = 102.0435

c)

In afternoon

Customers = 102.0435 + 20.19*1-37.7622*0+1.921*0 = 122.23

d)

In evenings

Customers = 102.0435 + 20.19*0-37.7622*1+1.921*0 = 64.28

e)

Customers = 102.0435 + 20.19*0-37.7622*0+1.921*1 = 103.9645


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