The problem provides data on indirect competitors' pizza supply in Zamboanga City from 2014 to 2018, in both boxes (Table 2) and Philippine Pesos (Php, Table 3). It also presents the formula for a linear trend line equation $Y = a + bx$ to predict future sales, where $a$ is the y-intercept and $b$ is the slope. The formulas for $a$ and $b$ are given as well.

Applied MathematicsLinear RegressionTrend AnalysisStatisticsForecasting
2025/5/16

1. Problem Description

The problem provides data on indirect competitors' pizza supply in Zamboanga City from 2014 to 2018, in both boxes (Table 2) and Philippine Pesos (Php, Table 3). It also presents the formula for a linear trend line equation Y=a+bxY = a + bx to predict future sales, where aa is the y-intercept and bb is the slope. The formulas for aa and bb are given as well.

2. Solution Steps

The problem does not ask to solve any particular question. It only provides data and formulas for linear trend projection.
The important formulas are:
Y=a+bxY = a + bx
a=yˉbxˉa = \bar{y} - b\bar{x}
b=ΣxynxˉyˉΣx2n(xˉ)2b = \frac{\Sigma xy - n\bar{x}\bar{y}}{\Sigma x^2 - n(\bar{x})^2}
Where:
- YY = Computed value of sales to be predicted.
- aa = y-axis intercept
- bb = slope of the line
- xx represents the year (e.g., 2014, 2015, etc.)
- yy represents the sales amount in a particular year.
- xˉ\bar{x} is the average of x values (years).
- yˉ\bar{y} is the average of y values (sales).
- nn is the number of data points (number of years).

3. Final Answer

No calculation is requested, therefore no numerical answer. The formulas for performing a linear trend projection are provided in the solution steps.

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