The table below shows the shoe size and age of 7 boys (x) (y) tyrone 6 9 marcel 6 11 patrick 7 15 bobby 8 11 dylan 9 15 mike 10 16 jonathan 12 17 approximately what percent of the boys’ ages is more than 1 year different from the age predicted by the line of best fit for the data? a 14% b 29% c 43% d 57%

From the table, we can form the line of best fit with the table below:



The line of best fit is given by , where:  and .

Thus, we have:



and



Thus, the line of best fit is 

For Tyrone and Marcel with a shoe size of 6, their predicted age will be



Thus Tyrone with an age of 9 is more than 1 year different from his predicted age of 11.

For Patrick with a shoe size of 7, his predicted age will be



Thus Patrick with an age of 15 is more than 1 year different from his predicted age of 12.

For Bobby with a shoe size of 8, his predicted age will be



Thus Bobby with an age of 11 is more than 1 year different from his predicted age of 13.

For Dylan with a shoe size of 9, his predicted age will be



For Mike with a shoe size of 10, his predicted age will be



For Jonathan with a shoe size of 12, his predicted age will be



Therefore, Tyrone, Patrick and Dylan which is  has their age 1 more than their predicted ages.

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.