Question
A student from UQ obtained some data relating crop yield to the amount of fertiliser used from his father's farm records. The data are given
A student from UQ obtained some data relating crop yield to the amount of fertiliser used from his father's 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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