2. A farmer wishes to determine the optimal level of a new fertilizer on his soy

Question

2. A farmer wishes to determine the optimal level of a new fertilizer on his soybean crop. Some factors that affect crop yield are fertilizer, precipitation, sunlight, method of tilling the soil, type of soil, plant and temperature. Many of these factors cannot be controlled or manipulated to increase crop yield, but the amount of fertilizer can be. An experiment is designed to study the effect of various amounts of fertilizer on crop yield. The soybean plants are randomly assigned to the different treatments. Treatment A: 20 soybean plants receive no fertilizer Treatment B: 20 soybean plants receive 2 teaspoons of fertilizer per gallon of water every 2 weeks Treatment C: 20 soybean plants receive 4 teaspoons of fertilizer per gallon of water every 2 weeks Diagram the experiment. Indicate the subjects of the experiment, the explanatory variable, and the response variable.

Explanation / Answer

so, here we have 3 differnt treatment groups.....
the response variable Y = the Yield
and the explanatory varibles are the effect of the treatment......
subjects of the experiment are 60(20+20+20) soyabean plants

Using Statistics, we can fit a linear model to estimate the difference of the effect of one treatment over the other
and hence we can find out which treatment has the best effect on the yield

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