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Q3. (0) A soft drinks producer wishes to have consistent "fill" levels in the bottles exiting its bottling process. In fact, there is some deviation from target, and they want to determine if this is caused by the line speed (i.e., the number of bottles filled per minute). Accordingly, they carry out an experiment in which four different line speeds are applied at each of two levels of carbonation, and the results are shown below (the figures show the deviation from the target fill level). Carbonation 210 0.42 2.02 3.0 1.72 1.82 10% Line Speed (bpm) 240 2704 0.52 4.72 2.0 3.42 0.92 1.22 1.92 3.12 6.02 4.32 300 3.6 2.62 2.42 3.82 5.12 210 1.52 2.0 2.82 2.1 2.04 12% Line Speed (bpm) 240 270 3.42 4.42 2.1 4.2 0.62 3.2 4.52 3.72 1.6 2.92 300- 4.34 3.32 | 4.2 3.84 3.5e (a) Show whether or not the data suggest that the line speed influences the fill level. (5 marks) (b) What is the interaction between carbonation and line speed? (5 marks)