Table 1: Weight Suspended in kg | | Luke | Rey | Anikin |
| week | 1 | 0 | 10 | 35 |
| week | 2 | 10 | 10 | 41 |
| week | 3 | 15 | 20 | 45 |
| week | 4 | 20 | 20 | 48 |
| week | 5 | 25 | 40 | 50 |
| week | 6 | 30 | 40 | 53 |
| week | 7 | 35 | 80 | 55 |
| week | 8 | 40 | 80 | 61 |
| week | 9 | 45 | 160 | 70 |
| week | 10 | 50 | 160 | 74 |
| week | 11 | 55 | 320 | 77 |
| week | 12 | 60 | 320 | 80 |
| | | | |
In an alternate reality, a temporal anomoly transports LukeSkywalker, Rey and Anikin Skywalker to Yoda's home planet as 8 yearolds. Yoda's people decide to train them all in the ways of theForce. As they begin their Jedi training, their progress is trackedweekly. One of the items tracked is weight of object they are ableto make hover. The results of the first 12 weeks of training areshown in Table 1.
1. Examine the data in Table 1. Without doing any calculations,of the three Jedi trainees, for which kid(s) would be Simple LinearRegression be a good tool to model their progress? Why? Explain in50 words or less.
2. Perform a simple linear regression on all three kid'sprogress. Hint: time is the x variable and weight of stonesuspended is the y variable. Perform a simple linear regression onall three kid's progress. Show your work in the analysis tab,putting the output in the designated spaces.
What is the regression equation for Luke? For Rey? For Anikin?Put your results in the indicated space.
What is the r2 for each kid? According to the p-value, which ofthe regression lines is statistically significant at an alpha of0.05?
3. Using Luke and Anikin's regression equations, make aprediction during which week Luke will catch up with Anikin.
Table 2: Number of items Suspended | rocks | kittens | daggers | wookies |
| Luke | 25 | 15 | 30 | 3 |
| Rey | 30 | 5 | 45 | 2 |
| Anikin | 25 | 25 | 40 | 5 |
4.  Jedi trainee can suspend in the air after 12 weeksof training. Do an ANOVA analysis - Randomized Block Design atalpha = 0.05. Put the output in the indicated area. Is there adifference in the 3 kids overall ability to suspend objects in theair (rows)? Is there a difference in the type of object that issuspended objects in the air (columns)? Put the p-factor andconclusion in the indicated space.
5. Based upon the data in Table 2, perform a Chi-square Test OfIndependence to determine if the type of suspended objects isdependent upon the Jedi trainee doing the suspending.
