Question

The table below shows the hourly temperatures, for a city in Ohio on February 10, 2012, as predicted by the weatherman at the local news station at certain times since 10 a.m..Tablewrite an equation for the curve of best fit.Predict the temperature at 7:00p.m.

Answer 1

solution

We can set up the following info:

x 0 1 2 3 4 5

y 18 20 22 23 25 22

And we can create an equation given by:

y = mx + b

And we have the following:

y= 19.095+ 1.028x

Then we can replace the value for 7pm at x= 9

y = 1.028*9 + 19.095 = 28.347

For the quadratic fit we got:

y = 17.607 + 3.2607x - 0.446 x^2