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

To determine if the set of data has a linear model, we need to check if the relationship between the two variables (number of years and salary) can be described by a straight line. One way to do this is by verifying that the first differences of the salary values are constant for successive increases in the number of years. If the first differences are constant, then the relationship is linear. Therefore, choice C is the best answer.

Given the Data Below How Can You Determine If the Set