Non-linear regression with the calculator Problem set B Answers

\(F = 0.0116v^2 - 0.539v + 10.9\)

\(T = -0.439t^3 + 4.54t^2 - 8.25t + 11.9\)

\(M = 23.8e^{-0.167t}\)

\(d = 0.00614v^{2.06}\)

\(h = 11.9\sin(0.204t - 1.50) + 13.7\)

1. (a) \(N = 4.27e^{0.376t}\)
2. (b) 15.9 thousand
3. (c) a = 4.27 thousand: the number of followers when the account was created (the model's value at t = 0)

1. (a) \(h = 0.563\sin(0.790t + 0.503) + 0.121\)
2. (b) 7.95 seconds: one full cycle takes 7.95 seconds
3. (c) -0.160

1. (a) \(Q = 0.816r^{3.96}\)
2. (b) 15.6

1. (a) \(W = -0.354t^3 + 3.26t^2 - 5.18t + 8.21\)
2. (b) t = 3.55