In: Statistics and Probability
| 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 | 
| 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 | ||
| Q2. | Perform a simple linear regression on all three kid's progress. Hint: time is the x variable | ||||||||
| and weight of stone suspended is the y variable. | |||||||||
| Perform a simple linear regression on all 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 of the regression lines is statistically | |||||||||
| significant at an alpha of 0.05? | |||||||||
please make sure to do the p values. this is what I need to fill in:
| Qyestion 2: | Luke | Rey | Anikin | ||||||
| Regression equation | note: two significant digits is fine | ||||||||
| r2 | note: two significant digits is fine | ||||||||
| p-value | note: 4 significant digits is fine | ||||||||
| Significant - Y/N? | |||||||||
  | 
|||||||||
| Luke regression output here. | |||||||||
  | 
|||||||||
Given Data:
| 
 week  | 
 Luke  | 
 Rey  | 
 Anikin  | 
| 
 1  | 
 0  | 
 10  | 
 35  | 
| 
 2  | 
 10  | 
 10  | 
 41  | 
| 
 3  | 
 15  | 
 20  | 
 45  | 
| 
 4  | 
 20  | 
 20  | 
 48  | 
| 
 5  | 
 25  | 
 40  | 
 50  | 
| 
 6  | 
 30  | 
 40  | 
 53  | 
| 
 7  | 
 35  | 
 80  | 
 55  | 
| 
 8  | 
 40  | 
 80  | 
 61  | 
| 
 9  | 
 45  | 
 160  | 
 70  | 
| 
 10  | 
 50  | 
 160  | 
 74  | 
| 
 11  | 
 55  | 
 320  | 
 77  | 
| 
 12  | 
 60  | 
 320  | 
 80  | 
The dependent variable for regression analysis here is the weight suspended by each kid i.e. y is the weight suspended and x is the week.
Regression output for Luke:
| 
 Coefficients  | 
 Standard Error  | 
 t Stat  | 
 P-value  | 
||
| 
 Intercept  | 
 -1.67  | 
 0.82  | 
 -2.04  | 
 0.068692  | 
|
| 
 Week  | 
 5.19  | 
 0.11  | 
 46.77  | 
 4.82E-13  | 
|
| 
 ANOVA  | 
|||||
| 
 df  | 
 SS  | 
 MS  | 
 F  | 
 Significance F  | 
|
| 
 Regression  | 
 1  | 
 3855.288  | 
 3855.288  | 
 2187  | 
 4.82E-13  | 
| 
 Residual  | 
 10  | 
 17.62821  | 
 1.762821  | 
||
| 
 Total  | 
 11  | 
 3872.917  | 
|||
| 
 R Square  | 
 0.995448  | 
 Adjusted R Square  | 
 0.994993  | 
Regression output for Rey:
| 
 Coefficients  | 
 Standard Error  | 
 t Stat  | 
 P-value  | 
||
| 
 Intercept  | 
 -77.73  | 
 32.39  | 
 -2.40  | 
 0.037315  | 
|
| 
 week  | 
 28.11  | 
 4.40  | 
 6.39  | 
 7.95E-05  | 
|
| 
 ANOVA  | 
|||||
| 
 df  | 
 SS  | 
 MS  | 
 F  | 
 Significance F  | 
|
| 
 Regression  | 
 1  | 
 113009.8  | 
 113009.8  | 
 40.81  | 
 7.95E-05  | 
| 
 Residual  | 
 10  | 
 27690.21  | 
 2769.021  | 
||
| 
 Total  | 
 11  | 
 140700  | 
|||
| 
 R Square  | 
 0.803197  | 
 Adjusted R Square  | 
 0.783516  | 
Regression output for Anikin:
| 
 Coefficients  | 
 Standard Error  | 
 t Stat  | 
 P-value  | 
||
| 
 Intercept  | 
 30.89  | 
 1.43  | 
 21.60  | 
 1.01E-09  | 
|
| 
 week  | 
 4.08  | 
 0.19  | 
 21.00  | 
 1.33E-09  | 
|
| 
 ANOVA  | 
|||||
| 
 df  | 
 SS  | 
 MS  | 
 F  | 
 Significance F  | 
|
| 
 Regression  | 
 1  | 
 2380.925  | 
 2380.925  | 
 440.98  | 
 1.33E-09  | 
| 
 Residual  | 
 10  | 
 53.99184  | 
 5.399184  | 
||
| 
 Total  | 
 11  | 
 2434.917  | 
|||
| 
 R Square  | 
 0.977826  | 
 Adjusted R Square  | 
 0.975609  | 
| 
 Luke  | 
 Rey  | 
 Anikin  | 
|
| 
 Regression equation  | 
 
  | 
 
  | 
 
  | 
| 
 r2  | 
 0.99  | 
 0.80  | 
 0.98  | 
| 
 p-value  | 
 0.0000  | 
 0.0001  | 
 0.0000  | 
| 
 Significant - Y/N?  | 
 Y  | 
 Y  | 
 Y  | 
There is no question for Table-2