Monthly Temperature The given data represent the average monthly temperatures for Indianapolis, Indiana. (a) Draw a scatter diagram of the data for one period. (b) Find a sinusoidal function of the form y = A sin ( ω x − ϕ ) + B that models the data. (c) Draw the sinusoidal function found in part ( b ) on the scatter diagram. (d) Use a graphing utility to find the sinusoidal function of best fit. (e) Graph the sinusoidal function of best fit on a scatter diagram of the data.
Monthly Temperature The given data represent the average monthly temperatures for Indianapolis, Indiana. (a) Draw a scatter diagram of the data for one period. (b) Find a sinusoidal function of the form y = A sin ( ω x − ϕ ) + B that models the data. (c) Draw the sinusoidal function found in part ( b ) on the scatter diagram. (d) Use a graphing utility to find the sinusoidal function of best fit. (e) Graph the sinusoidal function of best fit on a scatter diagram of the data.
Solution Summary: The author explains how to find a sinusoidal function of the form y = A sin + B that models the data.
Monthly Temperature
The given data represent the average monthly temperatures for Indianapolis, Indiana.
(a) Draw a scatter diagram of the data for one period.
(b) Find a sinusoidal function of the form
that models the data.
(c) Draw the sinusoidal function found in part
on the scatter diagram.
(d) Use a graphing utility to find the sinusoidal function of best fit.
(e) Graph the sinusoidal function of best fit on a scatter diagram of the data.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
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