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Simple linear regression can be used to determine the fitted model for an exponential regression function...

Simple linear regression can be used to determine the fitted model for an exponential regression function if we make the correct logarithmic transformation on the exponential formula.

True or False

Math   Statistics-And-Probability   
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Answer #1

TRUE.

Not all data may be represented by functions in the form y =c1x+c2x .for example, many responses are exponential in nature, that is the data follows a curve of the form y = aebx which is not in the desired form for linear regression its a exponential.

Given such data, if we take the natural logarithm of both sides of the equation y = a eb x, we get log(y) = log(a eb x) = log(a) + log(eb x) = log(a) + b x.

which is linear in nature.

please rate my answer and comment for doubts.

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