A scatter plot of y vs x shows a curved (exponential) pattern. A student takes the log of y and plots log(y) vs x, finding a roughly linear pattern with slope 0.08 and intercept 1.5. (a) What transformation was applied? (b) Write the equation for the original exponential model ŷ = a·bˣ. (c) Interpret the slope 0.08 in context.
Answer:
A scatter plot of y vs x shows a curved (exponential) pattern. A student takes the log of y and plots log(y) vs x, finding a roughly linear pattern with slope 0.08 and intercept 1.5. (a) What transformation was applied? (b) Write the equation for the original exponential model ŷ = a·bˣ. (c) Interpret the slope 0.08 in context.
Answer:
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