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.