Question: How many corn plants are too many? How much corn per acre should a farmer plant to obtain the highest yield? Too few plants will give a low yield. $O$ n the other hand, if there are too many plants, they will compete which each other for moisture and nutrients, and yields will fall. To find the best planting rate, plant at different rates on several plots of ground and measure the harvest. (Be sure to treat all the plots the same except for the planting rate.) Here are data from such an experiment:

1. Is yield or planting rate the explanatory variable?
2. Make a scatterplot of yield and planting rate. Use a scale of yields from 100 to 200 bushels per acre so that the pattern will be clear.
3. Describe the overall pattern of the relationship. Is it linear? Is there a positive:
   or negative association, or neither? Is correlation \(r\) a helpful description of this relationship? Find the correlation if it is helpful.
4. Find the mean yield for each of the five planting rates. Plot each mean yields against its planting rate on your scatterplot and connect these five points with lines. This combination of numerical description and graphing makes the

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