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Go to your Math Tools and open the Data Plot. Use the histogram tool to plot the data in the spreadsheet. If you need help,
follow these instructions for using the online probability tools. Adjust the view of the histogram so the bin size shows the
data well and so that the axis values are easy to scan. Add a title and axis labels. Finally, export an image of the graph and
insert it in the space below.
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Ответ:
let y = caloric value
x- sugar content
For direct proportionality
y = kx
for inverse relationship
y = k/x
the measure here is the r^2 (i forgot the proper statistical term) in which a value closer to 1 would mean that the expression gives a model which describes the proportionality of the data.
I tried using the linear relatioships but both did not get satisfactory results.
However, I tried fitting the data in a 2nd order polynomial and the result is good, in fact the r^2 is 1. Use the MS excel to do this.
the equation to describe the relationship is
y (calories/mL) = 504.67x^2 - 53.002x + 1.3003
however please be casreful in using this relationship since some values of x (sugar content) will yield negative values. It'll be best to try another model (logarithmic or exponential)