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8. blaine found the difference and second difference of the consecutive…

Question

  1. blaine found the difference and second difference of the consecutive y - values as shown below.

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

Explanation:

Step1: Recall regression - model characteristics

In linear regression, the first - differences of the y - values are constant. In quadratic regression, the second - differences of the y - values are constant. In exponential regression, the ratios of consecutive y - values are constant.

Step2: Analyze the given differences

Blaine found that the second - differences of the consecutive y - values are all 4 (3 - (-1)=4, 7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4, 19 - 15 = 4).

Answer:

B. quadratic regression