Question

which type of model is most appropriate for the following data?

x	y
1	5.28
2	7.78
3	10.37
4	12.75
5	15.24
6	17.85
7	20.25
8	22.78

Explanation:

Step1: Calculate first - differences

$7.78 - 5.28=2.5$, $10.37 - 7.78 = 2.59$, $12.75 - 10.37=2.38$, $15.24 - 12.75 = 2.49$, $17.85 - 15.24=2.61$, $20.25 - 17.85 = 2.4$, $22.78 - 20.25=2.53$

Step2: Analyze differences

The first - differences are approximately constant. So, a linear model is appropriate.

Answer:

Linear model