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.† 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 . (c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 31 degrees 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 2.50 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.) °C
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.† 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 . (c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 31 degrees 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 2.50 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.) °C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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.†
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.)
(c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 31 degrees 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 2.50 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.)
°C
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 .
(c) Express, using functional notation, the speed at which the ants run when the ambient temperature is 31 degrees 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 2.50 centimeters per second. What is the ambient temperature? (Round your answer to two decimal places.)
°C
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