Expanding balloon: A spherical balloon is being inflated. The following table shows how the volume V , in cubic inches, depends on time t, in seconds. a. It turns out that the radius is a linear...

Expanding balloon: A spherical balloon is being inflated. The following table shows how the volume V , in cubic inches, depends on time t, in seconds.

a. It turns out that the radius is a linear function of time. Because the volume of a sphere is a cubic function of the radius, a cubic model for the data is appropriate. Use cubic regression to find a model for the data.

b. Express, using functional notation, the volume after 5 seconds, and use your model to estimate that value.