The number of new cases in year 15 is 158
Solution:
Given that number of cases of a new disease can be modeled by quadratic regression equation:
[tex]y = -2x^2+40x+8[/tex]
where x represents the year
"y" is the number of new cases
To find: Number of new cases in year 15
You know that the variable "x" represents the year. Therefore, in order to predict the number of cases in year 15,
Substitute x = 15 in given equation
[tex]y = -2(15)^2+40(15)+8\\\\y = -2 \times 225 + 600 + 8\\\\y = -450 + 608\\\\y = 158[/tex]
Thus number of new cases in year 15 is 158
