Jackson Dance Studio Has Had the Following Number of People

question 81

Short Answer

Jackson Dance Studio has had the following number of people signing up for dance lessons over the past three years. Calculate the anticipated demand for lessons in March, April, and May next year, given the seasonality of demand and a trend of Ft = 100 + 15t.
$$\begin{array} { | c | c | c | c | c | c | } \hline & \text { Year 1 } & & \text { Year 2 } & & \text { Year 3 } \\\hline \text { January } & 20 & \text { January } & 28 & \text { January } & 40 \\\hline \text { February } & 106 & \text { February } & 115 & \text { February } & 122 \\\hline \text { March } & 50 & \text { March } & 62 & \text { March } & 77 \\\hline \text { April } & 100 & \text { April } & 110 & \text { April } & 123 \\\hline \text { May } & 107 & \text { May } & 122 & \text { May } & 135 \\\hline\end{array}$$

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Definitions:

Sample Mean

The average calculated from a sample of data, representing the central point or typical value of the sample.

Population Mean

The average of all the values in a population, representing the central point of a data set.

Parameters

Quantitative characteristics that define or summarize features of a population in statistical analysis.

Numerical Characteristics

Quantitative attributes or measurements that describe and summarize data.