Find the simple regression line and interpret the coefficients.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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Question
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 |
1. Find the simple regression line and interpret the coefficients.
2. Find the coefficient of determination and interpret its value.
3. 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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