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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