Notice how the luminosity of the more distant stars you plotted in part (a) tend

Question

Notice how the luminosity of the more distant stars you plotted in part (a) tends to be higher than for the more nearby stars. Why is this the case?

I just plotted the Abs Magnitude vs the Distance according to this data and thw more distant stars are seen having higher luminosity. I dont understand why is that.

D The 26 Brightest Stars "M spectral type of stars Yi X. W Stellar classification Wi x ecure ww.astro.wisc.eduf dolan/constellations/extra/brightest.html Common Name Scientific Name Distance (light years) Apparent Magnitude Absolute Magnitude Spectral Type 2 taurus A (i2VK1V G6II +G2III 7 Betelgeuse Alpha Ori1400 7 0 0 var var 9:24 PM 9/12/2018 20

Explanation / Answer

Absolute magnitude is the absolute value of relative luminosity of the star, wehre as Apparent Magnitude is the apparnet magnitud eof hte brightenss of the star from earth
hence
apparent magnitude of the stars farther away should be expected to be lower than the apaprent magnitude of the4 stars that are close, as the stars which are closer to earth should appear brighter in most cases
but stars can be brighter thasn sun at the locatino of the star, and this can be known from absolute magnitude. since the distant stars have greater absolute magnitude we can say that the stars farther from earth are actually bigger and brighter but because they are away from the earth they look dim, buit absolute magnitude is not effected by distance

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