Raymond 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)
164.2
186.4
215.1
552.2
555.7
565.2
625
923.7

102030405060708090100110123456789-1Brightness LevelHours

a) Find the equation for the line of best fit. Keep at least 3 decimals for each parameter in the equation. (You should begin by typing y=)

 

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 46?    hours