Find a logarithmic function to model the data. x y1 602 543 514 505 466 457 44f(x) = 60.73(0.95)x : (f(x) = 0.93(60.73)xf(x) = 60.04 – 8.25 ln xf(x) = 8.25 – 60.04 ln x

  f(x) = 60.04 – 8.25 ln x

Step-by-step explanation:

A suitable calculator can find the regression formula coefficients for you.

  f(x) = 60.04 – 8.25 ln(x)

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The attachment shows the calculator's computation of the model parameters (a₁ and b₁), and is also shows how these parameters might be calculated by hand (a₂ and b₂). The manual calculation involves taking the logarithms of the x-values and computing various means involving those and the y-values. These calculations are easily done on a graphing calculator or spreadsheet, but such a device will also likely be able to compute the regression equation for you.

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Comment on answer choices

You can eliminate the first two answer selections because these are not formulas that are logarithmic functions. You can eliminate the last choice because it models values near 8, not near 60. Thus, you can choose the correct answer without knowing much about how to make a logarithmic model.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.