This response indicates an incomplete application of a reasonable strategy. The student incorrectly assumes the pattern is linear, and therefore applies an inappropriate method, a linear regression model, to describe the relationship between the x and y values, resulting in an incorrect equation (y=5x-5). That equation is then used to find the values of y when x is 10 (45) and x is 11 (50), and to find the difference in y-values when x is 10 and when x is 11 (5) and to explain that answer (When x is 10, the y-value was 45. When x is 11, the y-value was 50. The difference between those are 5. I subtracted 45 from 50 to get the answer.). The student correctly fills in the boxes to indicate the differences in y-values, and provides a description of the pattern which supports the solution and is plausible (odd numbers that start with 3; to find these numbers, I subtracted the numbers from back. For example, to find the difference between 9 and 16, I subtracted 9 from 16.). This response demonstrates a conceptual understanding and analysis of the problem.   view all anchor papers at this score level
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