the typical lifespan for various mammal species in captivity (l) in years has been related to average adult weight (w) in kilograms according to the regression equation a typical adult meerkat weighs about 0.9 kilograms. what is the predicted lifespan of a meerkat in captivity, according to this equation?

Respuesta :

According to this equation, a meerkat's expected lifespan in captivity is (A) 11.6 years.

What do we mean by equations?

  • Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
  • For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
  • The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So,l the predicted lifespan of the meerkat in captivity, according to the equation is:

The equation we have is: In(L) = 2.468 + 0.2 In(M)

We know that: M = 0.9

Now, put M = 0.9 in equation as follows: In(L) = 2.468 + 0.2 In(0.9)

Taking the natural algorithm of 0.9 as follows:

In(L) = 2.468 + 0.2 × -0.1054

In(L) = 2.468 - 0.02108

In(L) = 2.22692

Now, taking exponents as follows:

L = e²°⁴⁴⁶⁹²

L = 11.553

Rounding off: 11.6


Therefore, according to this equation, a meerkat's expected lifespan in captivity is (A) 11.6 years.

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Complete question:

The typical lifespan for various mammal species in captivity (L) in years has been related to the average adult size (M) in kilograms according to the regression equation seen below. A typical adult Meerkat weighs about 0.9 kilograms. What is the predicted lifespan of a Meerkat in captivity, according to this equation? * 2 points

a. 11.6 years

b. 2.4 years

c. 14.1 years

d. 2.6 years

e. 28.8 years