Use Minitab, R, or your preferred software forthis question.
An exercise physiologist used skinfold measurements toestimate the total body fat, Y, expressed as a percentageof body weight, X1, for 19 participants in aphysical fitness program. Body fat percentage and body weight areshown in the table below.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
| Weight (kg) | 89 | 88 | 66 | 59 | 93 | 73 | 82 | 77 | 100 | 67 | 57 | 68 | 69 | 59 | 62 | 59 | 56 | 66 | 72 |
| Body Fat (%) | 28 | 27 | 24 | 23 | 29 | 25 | 29 | 25 | 30 | 23 | 29 | 32 | 35 | 31 | 29 | 26 | 28 | 23 | 23 |
Note that participants 1-10 are male and 11-19 arefemale. Define a variable X2 which is 1 formales and 0 for females, and fit the modelY=?0+?1X1+?2X2+e.
What is the estimated value of the regression coefficient forvariable Weight? [2 pt(s)]
What is the estimated value of the intercept? [2pt(s)]
What is your computed value of SSE? [2 pt(s)]
What is your computed value of MSE? [1 pt(s)]
What is the standard error of the estimate of?1? [2 pt(s)]
