Question

1. kiana found the difference of the consecutive y - values as shown below.

x	y	difference of y - values
-2	-4	-1 + 4 = 3
-1	-1	2 + 1 = 3
0	2	5 - 2 = 3
1	5	8 - 5 = 3
2	8

which type of regression model did kiana find?
a. exponential regression
b. quadratic regression
c. linear regression
d. none of the above

Explanation:

In a linear regression model, the difference between consecutive y - values for equally - spaced x - values is constant. Here, as x increases by 1 each time, the difference in consecutive y - values is always 3. In an exponential regression, the ratio of consecutive y - values is constant. In a quadratic regression, the second - differences (differences of the differences) of y - values are constant. Since the first - differences of y - values are constant here, it is a linear regression model.

Answer:

C. linear regression