Modeling Data

Determine the equation of the logarithmic regression function that models the given data set.

Determine x-intercept of the equation of the logarithmic regression function.

• There is no x-intercept 

• (1 , 0) 

• (0 , 1.06) 

• (1.06 , 0) 

Determine y-intercept of the equation of the logarithmic regression function.

• There is no y-intercept 

• (0 , 1) 

• (0 , 1.06) 

• (1.06 , 0) 

Determine the domain of the logarithmic regression function.

Which function best models this data?

• f(x) = -19.9x + 221

• f(x) = -0.29x² - 17.8 + 218.0

• f(x) = 235.7(0.87)^x

• f(x) = -18x + 220

What metric(s) do we look at to compare the models?

• Multiple R

• Adjusted R-square

• Standard Error

• R-Squared

• Observations

Determine the range of the logarithmic regression function.

Is this logarithmic regression function increasing or decreasing?

•   Decreasing

•   Increasing

•  Neither

• Both

Use time (years) as your x, and amount ($) as y, and determined the equation of exponential regression.

Use your exponential regression equation (curve of best fit) to determine the time it takes for the balance to equal $25 000.

• About 11 years.

• About 12 years  

•   About 13 years

• Impossible to tell