The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2007, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2016, rounded to the nearest whole number. Years since 2007 (x) New Cases (y)
0 1156
1 1167
2 1230
3 1215
4 1277
5 1298

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: