Icicles form on building eaves and trees in very cold environments. Scientists wanted to know more about the growth of these icicles. An icicle was grown in a cold chamber at -11C with no wind and a water flow of 11.9 mg/sec. The length (in cm) of the icicle was measured as a function of time (in minutes).The data is given below. investigate what mathematical function best describes how icicles grow over time. Your answers below must include all appropriate Excel output as evidence.

1. What type of association is present?
2. Test for a linear, exponential, and power law relationship by producing appropriate Excel outputs.
3. What relationship is the most appropriate for the data? Explain why.
4. State the best equation that describes the relationship to predict the icicle length as a function of time.
5. Use the best model to estimate the icicle length after 2 hours in these conditions.

Time (min)	Length (cm)
10	0.6
20	1.8
30	2.9
40	4
50	5
60	6.1
70	7.9
80	10.1
90	10.9
100	12.7
110	14.4
120	16.6
130	18.1
140	19.9
150	21
160	23.4
170	24.7
180	27.8