Question

temperature, in degrees Celsius.† Temperature Speed 25.6 2.62 27.5 3.03 30.3 3.57 30.4 3.56 32.2 4.03...

temperature, in degrees Celsius.†

Temperature Speed
25.6 2.62
27.5 3.03
30.3 3.57
30.4 3.56
32.2 4.03
33.0 4.17
33.8 4.32

(a) Find the equation of the regression line, giving the speed S as a function of the temperature t. (Round the regression line parameters to four decimal places.)
S(t) =  



(b) Explain in practical terms the meaning of the slope of the regression line. (Round your answers to four decimal places.)

The slope of  means that for each increase in temperature of one degree Celsius, the ants run  centimeters per second  ---Select--- faster slower .


(c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 29degrees Celsius.
S (  )

Estimate that value. (Round your answer to two decimal places.)
cm/sec

(d) The scientist observes the ants running at a speed of 2.48 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.)
°C

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