The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds, is represented by the linear model ŷ = 4.8 + 11.23t.

Question

If the dive duration is 5 seconds, what is the predicted depth of the dive?

0.02 feet
60.95 feet
−60.95 feet
−0.02 feet

Answer 1

To find the predicted depth (\(ŷ\)) for a dive duration of \( t = 5 \) seconds, we can substitute \( t \) into the linear model \( ŷ = 4.8 + 11.23t \).

Substituting \( t = 5 \):

\[ ŷ = 4.8 + 11.23(5) \] \[ ŷ = 4.8 + 56.15 \] \[ ŷ = 60.95 \]

Therefore, the predicted depth of the dive is 60.95 feet.