2. (9 pts) It is difficult to determine a person’s body fatpercentage accurately without immersing him or her in water.Researchers hoping to find ways to make a good estimate immersed 20male subjects, then measured their weights shown in the table.
(2 pts) Determine the linear correlation coefficient.
(4 pts) Find the least-squares regression line.
(2 pts) Interpret the slope and y-intercept if appropriate.
(1 pts) Predict the body fat percentage if the weight is 190lb.
Weight (lb) | Body Fat (%) |
175 | 6 |
181 | 21 |
200 | 15 |
159 | 6 |
196 | 22 |
192 | 31 |
205 | 32 |
173 | 21 |
187 | 25 |
188 | 30 |
188 | 10 |
240 | 20 |
175 | 22 |
168 | 9 |
246 | 38 |
160 | 10 |
215 | 27 |
159 | 12 |
146 | 10 |
219 | 28 |
