Quarterly billing for water usage is shown in the following table. Assume the time series has seasonality with trend. Quarter Year 1 Year 2 Year 3 Year 4 Winter 65 Spring 102 Summer 153 Fall 72 65 (b) Forecast the summer of Year 5. 104 Forecast the spring of Year 6. 159 73 67 105 161 77 72 119 (a) Solve for the forecast equation that minimizes the sum of squared error. 177 87 x₁ = 1 if winter, 0 otherwise; x₂ = 1 if spring, 0 otherwise; x3 = 1 if summer, 0 otherwise.

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Quarterly billing for water usage is shown in the following table. Assume the time series has seasonality with trend.
Year 3
Quarter Year 1
Winter
Spring 102
Summer
Fall
65
153
72
Year 2
65
(b) Forecast the summer of Year 5.
Forecast the spring of Year 6.
104
159
73
67
105
161
77
Year 4
72
119
177
(a) Solve for the forecast equation that minimizes the sum of squared error.
87
X₁ =
= 1 if winter, 0 otherwise; x₂ = 1 if spring, 0 otherwise; x3 = 1 if summer, 0 otherwise.
Transcribed Image Text:Quarterly billing for water usage is shown in the following table. Assume the time series has seasonality with trend. Year 3 Quarter Year 1 Winter Spring 102 Summer Fall 65 153 72 Year 2 65 (b) Forecast the summer of Year 5. Forecast the spring of Year 6. 104 159 73 67 105 161 77 Year 4 72 119 177 (a) Solve for the forecast equation that minimizes the sum of squared error. 87 X₁ = = 1 if winter, 0 otherwise; x₂ = 1 if spring, 0 otherwise; x3 = 1 if summer, 0 otherwise.
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