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.

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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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

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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.
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.
how do I find the quadratic model?
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

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