Question

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures
and then warmed again.
Find a quadratic model for the data in the table. Type your answer below. Show your work.

Answer 1

Time (hours) 0 1 2 3 4 5 6
Population (1000s) 5.1 3.03 1.72 1.17 1.38 2.35 4.08

Answer 2

@jim_thompson5910

Answer 3

@Nnesha

Answer 4

just using something a scatter plot in excel, allows you to see that the data forms a parabola.

So I'd expect you need to use some software that allows you to do quadratic regression.

Its the same as linear regression, but you are using a quadratic equation, rather than a linear equation to describe the data.

Most graphics calculations will do quadratic regression. Unfortunately, excel doesn't.

hope its of some help.

Answer 5

From memory Geogebra allows you to plot the points and then use a command something like polyfit that allows you to derive an equation from a set of points.

Answer 6

how do I find the quadratic model?

Answer 7

here is a site that does quadratic regression.

http://www.had2know.com/academics/quadratic-regression-calculator.html

just enter the 1st value for each point as x and the 2nd value as y.

it will give an equation.

hope it helps