Explain an example of Linear Transformation.

Describe how the values of a and b in the linear model y = ax +b are related to the data being modeled. In general, the a, of a linear model represents how the two types of data change in relation to one another. The b, of a linear model represents the starting value. Click to select your answer(s) and then click Check Answer.

At the BMV, suppose that the length of time you must wait before speaking to a customer service representative is linearly related to the number of people who are in line in front of you. If there are 8 people in line in front of you, you will wait 44 minutes, and if there are 14 people in front of you, you will wait 68 minutes. How long will you wait if there are 10 people in front of you?

An important advance in ecological research is the Theory of Island Blogeography, which demonstrates a relationship between the size of islands and the number of species of different amphibians that can be found in the islands, The scatterplot of number of species versus island area (in thousands of square miles) is nonlinear. The graphs below show the results of two different transformations of the data. Model I plots the square of the number of species against area. Model II plots the square root of the number of species against area. Linear regression analyses are provided below. Model II: VNumber of species vs. Area Model I: (Number of Species)? vs. Area 10 8000 9. ecies)