a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. b) Interpret the slope in context. O Alejandro should expect -0.0585 hours per brightness level. O Alejandro should expect -0.0585 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 82? hours d) What is the residual for the point (82,5)? hours

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question
Alejandro is investigating how long his phone's battery lasts (in hours) for various brightness levels
(on a scale of 0-100). His data is displayed in the table and graph below.
Brightness Level (x)
Hours (y)
2967
10+
Hours
8-
10 10 +
6-
5
4
324
1
--1+
10 20 30
27
6.6
●
38 44 69 71 74 82 95
6.2
4.1
2.9
1.9 2.4 5 2.3
40 50 60 70 80 90 100 11
Brightness Level
a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the
equation.
b) Interpret the slope in context.
●
O Alejandro should expect -0.0585 hours per brightness level.
Alejandro should expect -0.0585 brightness level per hour.
c) What does the equation predict for the number of hours the phone will last at a brightness level
of 82?
hours
d) What is the residual for the point (82,5)?
hours
Transcribed Image Text:Alejandro is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). His data is displayed in the table and graph below. Brightness Level (x) Hours (y) 2967 10+ Hours 8- 10 10 + 6- 5 4 324 1 --1+ 10 20 30 27 6.6 ● 38 44 69 71 74 82 95 6.2 4.1 2.9 1.9 2.4 5 2.3 40 50 60 70 80 90 100 11 Brightness Level a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. b) Interpret the slope in context. ● O Alejandro should expect -0.0585 hours per brightness level. Alejandro should expect -0.0585 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 82? hours d) What is the residual for the point (82,5)? hours
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