In: Statistics and Probability
Part 1: Model Building
1. Submit both this word and excel file
2. Keep two decimal places for your answer
Using the data Reynolds.xls. The variables are defined as:
Sales (Y) =number of electronic laboratory scales sold
Months (X) =the number of months the salesperson has been employed
1. Develop the scatter plot using Sales as y axis and Months as x axis, and can you see the curvature?
2. Using a simple linear regression model to develop an estimated regression equation to predict the Sales. What is the adjusted-R square?
3. Using a second-order regression model to develop an estimated regression equation to predict the Sales. What is the adjusted-R square? (Hint: second-order regression model should look like: y=b0+b1X+b2X2, and we learnt it in Chapter 16)
4. Compare the adjusted-R square from 2 and 3, which one is larger? Which model is better? (Hint: we learn this in Chapter 15)
5. Use 4 diagrams to test the 5 model assumptions for the second-order regression model. Do you think they are violated? (Hint: we learn this in week 12 computer skill class)
| Months | Sales |
| 41 | 275 |
| 106 | 296 |
| 76 | 317 |
| 104 | 376 |
| 22 | 162 |
| 12 | 150 |
| 85 | 367 |
| 111 | 308 |
| 40 | 189 |
| 51 | 235 |
| 9 | 83 |
| 12 | 112 |
| 6 | 67 |
| 56 | 325 |
| 19 | 189 |