A scientist collected the following data on the speed, in centimeters per second, at which ants ran at the given ambient temperature, in degrees Celsius.t Speed 2.62 3.03 3.57 3.56 Temperature 25.6 27.5 30.3 30.4 32.2 33.0 4.03 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(e) = .2X187t – 2.7295 (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 e ach increase in temperature of one degree Celsius, the ants run centimeters per second faster s per (c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 29 degrees Celsius. s(29 Estimate that value. (Round your answer to two decimal places.) 3.32 cm/sec (d) The scientist observes the ants running at a speed of 2.42 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.) 24.67

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ISBN:9781305115545
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Publisher:James Stewart, Lothar Redlin, Saleem Watson
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A scientist collected the following data on the speed, in centimeters per second, at which ants ran at the given ambient temperature, in degrees Celsius.t
Speed
2.62
Temperature
25.6
27.5
3.03
30.3
3.57
30.4
3.56
32.2
4.03
33.0
33.8
4.17
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(e) = .2X1871 – 2.7295
(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 faster
(c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 29 degrees Celsius.
S( 29
Estimate that value. (Round your answer to two decimal places.)
3.32
cm/sec
(d) The scientist observes the ants running at a speed of 2.42 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.)
24.67
°C
Transcribed Image Text:A scientist collected the following data on the speed, in centimeters per second, at which ants ran at the given ambient temperature, in degrees Celsius.t Speed 2.62 Temperature 25.6 27.5 3.03 30.3 3.57 30.4 3.56 32.2 4.03 33.0 33.8 4.17 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(e) = .2X1871 – 2.7295 (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 faster (c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 29 degrees Celsius. S( 29 Estimate that value. (Round your answer to two decimal places.) 3.32 cm/sec (d) The scientist observes the ants running at a speed of 2.42 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.) 24.67 °C
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