SOLUTION: 16:24:22 Create a linear model for the data and identify the coefficient of determination. Reference: https://s22.postimg.org/9sg2x3gip/activity_3.png Graph the quadratic model

Algebra ->  Test -> SOLUTION: 16:24:22 Create a linear model for the data and identify the coefficient of determination. Reference: https://s22.postimg.org/9sg2x3gip/activity_3.png Graph the quadratic model      Log On


   

Question 1056400: 16:24:22 Create a linear model for the data and identify the coefficient of determination.
Reference: https://s22.postimg.org/9sg2x3gip/activity_3.png
Graph the quadratic model to determine when the total amount of stations surpasses ++7000+
Thank you.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The linear model is
y=117.07 x+5429, when x=1 is 1997. The coefficient of determination or R is 0.989
The quadratic model is -3.261x^2+143.16667x+5389.86
When I graph that, the maximum is at 6961.21 and does not ever surpass 7000.
graph%28300%2C300%2C-5%2C30%2C6000%2C7000%2C-3.261x%5E2%2B143.16667x%2B5389.86%29
vertex x value is-b/2a=143.16667/6.522=21.95, and f(21.95)=6959.76
graph%28300%2C300%2C-5%2C10%2C4000%2C8000%2C117.07x%2B5429%29