Linear Regression
The number of newly reported crime cases in a county in New York State is shown in the table below. Where (x) repersents the number of years its been 2014 , and (y) repersents number of new cases. Write the linear regression equation that repersents this set of data , rounding all coefficents to the nearest tenth. Using this equation , estimate the calendar year in which the number of new cases would reach 877.
y = - 30.6
f(x) { -2x- 13 for x ≤ -5
f(x) {x-4 for x > 3
Graph the equation
wrote in packet
24,20,50/3, ...
Find the 8th Term
6.698
A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
y ≈ 21176
Graph
y= 1/2x+6
on paper
A mathmathics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompaying table. Write the linear regression equation that repersents this set of data , rounding all coefficents to the nearest tenth. Using this equation find the projected test grade , to the nearest integer, for a student with a test grade of 60.
y = 1.2x - 19.6
66
f(x) = { x-3 for x ≤ 1
f(x) = { -5 for x > 4
Graph The equation
wrote in packet
15, 60 , 240 , ...
Find the 8th term
15360
A new car is purchased for 17000 dollars. The value of the car depreciates at 12.25% per year. What will the value of the car be, to the nearest cent, after 14 years?
y ≈ 2728.4
Graph
y = 2/3 + 4
on paper
The annual profits for a company are given in the following table , where x repersents the number of your since 2003. the y repersents the profit in thousands of dollars , write the linear regession equation that repersents this set of data. rounding all coefficents of the projected profit in thousands of $ for 2015 , rounded to the nearest thousands dollars .
y=1.2x-19.6
66
f(x)={ 4 for x≤−3
f(x) ={−6x+32 for x>4
Graph the equation
wrote in packet
256 , 251 , 246 , ...
Find the 46th Term
31
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be, to the nearest cent, after 11 years?
y ≈ 6770.65
Graph
y = 6x - 7