Jerónimo 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. Do not round between steps. Round answers to at least 4 decimal places.
| Brightness Level (x) | 17 | 24 | 30 | 31 | 36 | 36 | 50 | 64 |
|---|---|---|---|---|---|---|---|---|
| Hours (y) | 6.3 | 5.7 | 6.5 | 5.5 | 5.1 | 5.3 | 4.4 | 3.9 |
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.
c) What does the equation predict for the number of hours the phone will last at a brightness level of 30?
hours
d) What is the residual for the point (30,6.5)?
hours
e) Find the 99% prediction interval for the number of hours the phone will last at a brightness level of 30.
< y < hours
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