Given the data below, how can you determine if the set of data has a linear model?

A) By verifying that the salary values increases when the number of years increases.
B) Not enough information
C) By verifying that the first differences of the salary values are constant for successive increases in the number of years.
D) By verifying that the salary increases by the same amount.
E) By verifying that the number of years increases by the same amount.

Question

Given the data below, how can you determine if the set of data has a linear model?

A) By verifying that the salary values increases when the number of years increases. 
B) Not enough information 
C) By verifying that the first differences of the salary values are constant for successive increases in the number of years. 
D) By verifying that the salary increases by the same amount. 
E) By verifying that the number of years increases by the same amount.

Quizplus · Accepted Answer

A linear model means that there is a constant rate of change between two variables. In this case, the two variables are salary and number of years. By checking the first differences (difference between consecutive salary values), we can see if there is a constant rate of change between the two variables. If the first differences are constant, then the set of data has a linear model.

Given the Data Below, How Can You Determine If the Set