Answer:
Intercept = 15 ;
Meaning that the initial length of the candle at the time it was lit is 15.
Step-by-step explanation:
Given the model :
L = − 0.75 t + 15 ; represents the length of unburned candle, L after t hours since candle was lit.
Comparing the model equation to the general form of a linear regression equation :
y = bx + c
b = slope or gradient ; c = intercept
Comparing to the model ;
-0.75 = bx
15 = c
Hence, intercept, c = 15
Similarly;
L = − 0.75 t + 15
Put t = 0
L = - 0.75(0) + 15
L = 0 + 15
L = 15
Meaning that the initial length of the candle at the time it was lit is 15