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).
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).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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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