Question

In: Statistics and Probability

Q2. Now that you know the answer to the above question, you decide that you want...

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

Solutions

Expert Solution

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.


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