An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 Note: No excel ANOVA output allowed. Students need to show all the steps in calculations. You are required to; Find the simple regression line and interpret the coefficients. Find the coefficient of determination and interpret its value. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.
An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded.
|
Fertilizer(Kg) |
Harvest (tons) |
|
210 |
43.5 |
|
220 |
40.0 |
|
230 |
48.0 |
|
240 |
65.0 |
|
250 |
80.0 |
|
260 |
85.0 |
|
270 |
95.0 |
|
280 |
80.0 |
|
290 |
97.3 |
Note: No excel ANOVA output allowed. Students need to show all the steps in calculations.
You are required to;
Find the simple regression line and interpret the coefficients.
Find the coefficient of determination and interpret its value.
Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.
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