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Help me on this question-example-1

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Answer:

see below

Explanation:

All of the given data sets have x-values that are sequential with a difference of 1. That makes it easy to determine the sort of sequence the y-values make.

first choice: the y-values have a common difference of -2. This will be matched by a linear model.

second choice: the y-values have a common difference of +2. Again, this will be matched by a linear model.

third choice: the y-values have a common ratio of -2. This will be matched by an exponential model.

fourth choice: the y-value differences are 3, 5, 7, increasing by a constant amount (2). This is characteristic of a sequence that has a quadratic model.

Help me on this question-example-1
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