# Worksheet: Exponential Regression Model

In this worksheet, we will practice using the exponential regression features on a graphing calculator, rather than algebraic techniques, to model data exhibiting exponential growth or decay.

Q1:

An exponential model with the equation is fitted to a set of data. The point is part of the original data set to which the model was fitted. Calculate, to the nearest hundredth, the residual for this point.

Q2:

Given the exponential regression model , estimate the value of when is equal to 4.

• A0.19375
• B5.772
• C0.3677
• D6.2
• E3.1625

Q3:

Given the exponential regression model , determine the value of when is equal to 0.

Q4:

Given the quadratic regression model , calculate the value of when is equal to 2.7.

Q5:

Given the quadratic regression model , calculate the value of when is equal to 3.

Q6:

The values , , , and of the ordered pair of variables are observed in an experiment. Use least-squares quadratic regression to find the values of , , and for which the model best fits the data.

• A, , and
• B, , and
• C, , and
• D, , and
• E, , and