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Dr Guinea Pigg Would Like to Test If the Amount

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Dr. Guinea Pigg would like to test if the amount of caffeine intake would affect how well laboratory rats performed on a specific task. He randomly assigned 40 rats to five groups (n = 8). Each rat walked the same maze after drinking caffeinated water. The amount of caffeine the rats took and the number of mistakes they made in walking the maze were recorded in the following table.

 Dosage 10mg20mg30mg40mg50mg1616257510981211711114 Number of 231213516 mistakes 18710811124131191223991919139924\begin{array}{crrrrr}\text { Dosage } & 10 \mathrm{mg} & 20 \mathrm{mg} & 30 \mathrm{mg} & 40 \mathrm{mg} & 50 \mathrm{mg} \\\hline & 16 & 16 & 2 & 5 & 7 \\& 5 & 10 & 9 & 8 & 12 \\& 11 & 7 & 11 & 1 & 14 \\\text { Number of } & 23 & 12 & 13 & 5 & 16 \\\text { mistakes } & 18 & 7 & 10 & 8 & 11 \\& 12 & 4 & 13 & 11 & 9 \\& 12 & 23 & 9 & 9 & 19 \\& 19 & 13 & 9 & 9 & 24 \\\hline\end{array}
Using the data, conduct a trend analysis to test if there is any linear, quadratic, or cubic trend ( α\alpha = .05).

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