Now You Try!
Regression Lines
1) An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for 8 recent years are shown. If you can conclude there is a strong linear relationship, with an \(\alpha=0.10\), approximate the number of acres burned if there were 90 fires.
Number of fires (x) | 72 | 69 | 58 | 47 | 84 | 62 | 57 | 45 |
Number of Acres Burned (y) | 62 | 42 | 19 | 26 | 51 | 15 | 30 | 15 |
2) The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. If you can conclude there is a strong linear relationship, with an \(\alpha=0.10\), approximate the gross money made with 400 movie released.
No. of releases (x) | 361 | 270 | 306 | 22 | 35 | 10 | 8 | 12 | 21 |
Gross receipts (million $) (y) | 3844 | 1962 | 1371 | 1064 | 334 | 241 | 188 | 154 | 125 |