The number of cases of a new disease can be modeled by the quadratic regression equation y= -2x2 + 40x + 8, where x represents the year. Which is the best prediction for the num…

Question

asked May 28, 2021 224k views

2 Answers

Molnarg · Answer 1 · 2021-06-01T19:52:36+0000

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:

y = -2x^2+40x+8

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

$y = -2(15)^2+40(15)+8\\\\y = -2 * 225 + 600 + 8\\\\y = -450 + 608\\\\y = 158$

Thus number of new cases in year 15 is 158