Solve the Problem Draw a Scatter Diagram of the Data for One Period

question 118

Essay

Solve the problem.
-The following data represents the average percent of possible sunshine for a certain city in Indiana. $\begin{array}{l|c}\text { Month, x } & \begin{array}{c}\text { Average Percent of } \\\text { Possible Sunshine }\end{array} \\\hline \text { January, 1 } & 46 \\\text { February, 2 } & 51 \\\text { March, 3 } & 55 \\\text { April, 4 } & 60 \\\text { May, 5 } & 68 \\\text { June, 6 } & 73 \\\text { July, 7 } & 75 \\\text { August, 8 } & 74 \\\text { September, 9 } & 68 \\\text { October, 10 } & 62 \\\text { November, 11 } & 41 \\\text { December, 12 } & 38\end{array}$
Draw a scatter diagram of the data for one period. Find the sinusoidal function of the form $y = A \sin ( \omega x - \varphi ) + B$ fits the data. Draw the sinusoidal function on the scatter diagram. Use a graphing utility to find the sinusoidal function of best fit. Draw the sinusoidal function of best fit on the scatter diagram.

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Definitions:

Market Price

The current value at which an asset or service can be bought or sold in a marketplace.

Dividend Payout Ratio

Dividend payout ratio is a financial metric that shows what proportion of a company's earnings are distributed to shareholders as dividends.

Market Price

The price at which an asset or service can be bought or sold in the market.

Dividends

Payments made to shareholders out of a corporation's earnings, typically on a regular basis.