There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. A least-squares fit on some data collected by a biologist gives the model y(hat) = 25.2 = 3.3x where x is the number of chirps per minute and y(hat) is the estimated temperature in degrees Fahrenheit. What is the estimated increase in temperature that corresponds to an increase of 5 chirps per minute?

Question

anonymous · Answer

@amistre64  @Hero @agent0smith

hero · Answer

Your linear equation has two equal signs in it. So not able to tell if the second equation should have a plus or minus. Probably a plus.

hero · Answer

y = 25.2 + 3.3x 

Maybe that's what you meant

anonymous · Answer

sorry the equation I meant to put is y=25.5 + 3.3x

hero · Answer

Right and since:

x = number of chirps her minute and x = 5 in this case, then y = 25.2 + 3.3(5)

Compute the value of y.

anonymous · Answer

so y= 25.5 + 3.3(5) = 42?

hero · Answer

$y = 25.5 + 3.3(5)$
   $ = 41.7$
   $\approx 42$

Thus the increase in temperature in degrees Fahrenheit given 5 chirps per minute is estimated to be approximately $42^{\circ}F$