Chad 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. Hours Brightness Level (x) Hours (y) 21 29 7.4 38 51 73 80 90 92 5.7 4.1 4.4 3.9 4.1 1.9 0.1 11+ 10 9 8 7 6 + 3 2 1 10 20 30 -1 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. Chad should expect -0.0684 hours per brightness level. ○ Chad should expect -0.0684 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 80? hours d) What is the residual for the point (80,4.1)? hours

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.4: Scatter Plots And Line Of Fit
Problem 1GP
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Chad 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.
Hours
Brightness Level (x)
Hours (y)
21
29
7.4
38 51 73 80 90 92
5.7 4.1 4.4 3.9 4.1 1.9 0.1
11+
10
9
8
7
6
+
3
2
1
10
20 30
-1
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.
Chad should expect -0.0684 hours per brightness level.
○ Chad should expect -0.0684 brightness level per hour.
c) What does the equation predict for the number of hours the phone will last at a brightness level of 80?
hours
d) What is the residual for the point (80,4.1)?
hours
Transcribed Image Text:Chad 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. Hours Brightness Level (x) Hours (y) 21 29 7.4 38 51 73 80 90 92 5.7 4.1 4.4 3.9 4.1 1.9 0.1 11+ 10 9 8 7 6 + 3 2 1 10 20 30 -1 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. Chad should expect -0.0684 hours per brightness level. ○ Chad should expect -0.0684 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 80? hours d) What is the residual for the point (80,4.1)? hours
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