the table below lists information for seven Cepheid variableswhere ‘Period’ is the pulsation period of the star, and ?/?? is theluminosity in solar units.
Period (days) | L/L? |
4.5 | 835 |
7.2 | 1418 |
15.0 | 3761 |
29.3 | 8176 |
51.6 | 16623 |
82.8 | 28220 |
172.5 | 75140 |
a) Plot the PL relation for these stars using the logarithms ofthe values in the table (that is, ???(?) vs ???(?/??)) and extractthe slope and y-intercept of the relation the data define