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

  1. 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.
  2. Find the sample regression line using the least square method and interpret the coefficients within the case of the agronomist.

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