MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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4. On a winter day your local automobile service garage receives many calls from persons who need help starting their cars. The number of calls varies depending on the temperature. The table gives the number of calls as a function of the temperature (in degrees Celsius). Temperature (°C) Number -12 -9- 0. 4 9. 250 190 140 125 100 of Calls Plot the data on the following grid using an appropriate scale and iabeled axis a. b. Use your graphing calculator to determine the equation of the regression line for the data in the tabie. Round your vaiues to the nearest thousandths. 9 = bx +a b= SPISS = -1935 272 =-7 || 3 a=M4-M =161 - (-711x-1) = 153-886 C. Use your regression equation to determine how many service calls the garage can expect if the temperature drops to -20° C. when 2=-200 y=-7.113 (20)+153.88 = 296.14 d. How reliable do you think your output value is when the input is - 20°C? Is this an example of interpolating or extrapolating the data? Explain. e. The correlation coefficient (r) in this situation is about-.98. Explain the strength of this relationship.
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Transcribed Image Text:4. On a winter day your local automobile service garage receives many calls from persons who need help starting their cars. The number of calls varies depending on the temperature. The table gives the number of calls as a function of the temperature (in degrees Celsius). Temperature (°C) Number -12 -9- 0. 4 9. 250 190 140 125 100 of Calls Plot the data on the following grid using an appropriate scale and iabeled axis a. b. Use your graphing calculator to determine the equation of the regression line for the data in the tabie. Round your vaiues to the nearest thousandths. 9 = bx +a b= SPISS = -1935 272 =-7 || 3 a=M4-M =161 - (-711x-1) = 153-886 C. Use your regression equation to determine how many service calls the garage can expect if the temperature drops to -20° C. when 2=-200 y=-7.113 (20)+153.88 = 296.14 d. How reliable do you think your output value is when the input is - 20°C? Is this an example of interpolating or extrapolating the data? Explain. e. The correlation coefficient (r) in this situation is about-.98. Explain the strength of this relationship.
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