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.