Question
In: Statistics and Probability
An agronomist wanted to investigate the factors that determine crop yield. Accordingly, she undertook an experiment...
An agronomist wanted to investigate the factors that determine crop yield. Accordingly, she undertook an experiment wherein a farm was divided into 30 one-acre plots. The amount of fertilizer applied to each plot was varied. Corn was then planted, and the amount of corn harvested at the end of the season was recorded. The collected data is given below:
|
Yield |
Fertilizer |
Yield |
Fertilizer |
|
223 |
100 |
220 |
100 |
|
321 |
200 |
385 |
200 |
|
158 |
300 |
247 |
300 |
|
187 |
400 |
390 |
400 |
|
331 |
500 |
303 |
500 |
|
255 |
100 |
345 |
100 |
|
362 |
200 |
268 |
200 |
|
216 |
300 |
380 |
300 |
|
301 |
400 |
415 |
400 |
|
342 |
500 |
353 |
500 |
|
353 |
100 |
366 |
100 |
|
328 |
200 |
376 |
200 |
|
252 |
300 |
323 |
300 |
|
346 |
400 |
421 |
400 |
|
343 |
500 |
448 |
500 |
- Plot the scatter plot and discuss if the agronomist has reasons to conclude that there is a linear relationship between the amount of fertilizer and the crop yield.
- Find the sample regression line using the least square method and interpret the coefficients within the case of the agronomist.
Solutions
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