Find a logarithmic equation that relates y and x. (Round all numerical values to three decimal places.)
In(y)=

Find a logarithmic equation that relates y and x Round all numerical values to three decimal places Iny class=


Answer :

Answer:

  ln(y) = -0.666·ln(x)

Step-by-step explanation:

You want an equation for ln(y) given the data in the table.

Curve

A plot of ln(y) shows it is approximately a reflection of a log curve over the x-axis. Using a calculator's log regression function, it gives the best fit equation as approximately ...

  ln(y) = -0.666·ln(x)

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Additional comment

The equation assumed by the regression function is ...

  y = a +b·ln(x)

To 3 decimal places, a = 0, and b = -0.666. The "y" in this equation is the natural log of the y-values in the table, hence the relation is between the logs of x and y.

The first attachment plots x and ln(y), and the regression curve.

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View image sqdancefan