A farmer obtained some data relating crop yield to the amount of fertiliser used from his farm records. The data are given in the table below:   Fertiliser (kg/ha) 220 450 250 320 500 250 330 430 240 280 370 400 410 450 Crop Yield (1,000 kg/ha) 36 72 48 51 80 40 55 72 39 45 62 71 79 75   Using EXCEL, estimate the relationship between crop yield and the amount of fertilised used. (a) Report the regression results and write out the estimated regression line. (b) Interpret the estimated fertiliser coefficient. (c) Interpret the R2 value and comment on its strength.

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A farmer obtained some data relating crop yield to the amount of fertiliser used from his farm records. The data are given in the table below:

 

Fertiliser (kg/ha)

220

450

250

320

500

250

330

430

240

280

370

400

410

450

Crop Yield (1,000 kg/ha)

36

72

48

51

80

40

55

72

39

45

62

71

79

75

 

Using EXCEL, estimate the relationship between crop yield and the amount of fertilised used.

(a) Report the regression results and write out the estimated regression line.

(b) Interpret the estimated fertiliser coefficient.

(c) Interpret the R2 value and comment on its strength.

(d) Does fertiliser significantly influence crop yield? Explain.

(e) Find the predicted crop yield if the fertiliser is 550 kg/ha.

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