In: Statistics and Probability
Q2. Now that you know the answer to the above question, you decide that you want to predict the amount of trash that all of them can pick up. You find strong correlations between certain data points and trash collected, and you want to develop a predictive model to see the result. Use the attached data (Trash data) to forma multiple regression model, and explain the usefulness of the model. Use the analysis tool in Excel to calculate the model (use regression). Your Y data is the lbs of trash, and your x data is everything else. Play with some of the checkboxes as well to see what the program will do. Again, explain your result, and why it is important…
Lbs processed | Workers | animal weight | knives | hours |
200 | 8 | 100 | 10 | 25 |
156 | 5 | 80 | 8 | 33 |
145 | 5 | 100 | 8 | 25 |
178 | 6 | 90 | 8 | 26 |
135 | 4 | 80 | 8 | 28 |
167 | 4 | 90 | 8 | 44 |
179 | 8 | 90 | 8 | 22 |
213 | 9 | 100 | 11 | 25 |
233 | 9 | 140 | 12 | 25 |
188 | 5 | 90 | 11 | 33 |
180 | 7 | 90 | 12 | 30 |
199 | 6 | 90 | 12 | 28 |
223 | 8 | 130 | 12 | 22 |
221 | 7 | 100 | 11 | 31 |
267 | 9 | 140 | 11 | 31 |
278 | 11 | 160 | 15 | 25 |
145 | 7 | 80 | 8 | 20 |
177 | 5 | 100 | 8 | 30 |
179 | 6 | 90 | 9 | 25 |
177 | 6 | 90 | 6 | 26 |
167 | 5 | 80 | 7 | 31 |
100 | 3 | 70 | 3 | 34 |
99 | 3 | 80 | 3 | 28 |
29 | 1 | 70 | 2 | 22 |
299 | 14 | 150 | 15 | 27 |
137 | 5 | 80 | 11 | 27 |
186 | 7 | 90 | 12 | 26 |
191 | 7 | 90 | 9 | 27 |
231 | 9 | 120 | 12 | 26 |
211 | 11 | 120 | 9 | 19 |
214 | 12 | 100 | 9 | 22 |
300 | 15 | 150 | 19 | 22 |
111 | 6 | 50 | 8 | 18 |
199 | 5 | 100 | 5 | 44 |
187 | 4 | 100 | 8 | 33 |
Firstly add data in Excel sheet and go to data analysis >regression
REGRESSION LINE IS..
Lbs process=-65.0239+9.7130*workers+0.7060*animal weight +4.0769*knives+2.7417*hours
From this regression line we can predict value of Lbs process by changing workers ,animal weight,knives and hours.
R square=93.20%
Around 93% of the variability in the variables is explained by the regression model.