Question

Determine the equation of the Logarithmic Regression that models the data. Then use your equation to determine the amount of sunlight (%) that penetrates to a depth of
150m. Express you answer to the nearest hundredth of a percent

Answer 1

Answer:

Percentage of light that penetrates at 150 m will be 0.94%.

Step-by-step explanation:

By using logarithmic regression calculator,

Equation of the regression line will be,

y = 104.5173 - 20.6711(lnx)

Where x represents the depth of the ocean

And y will represent the penetration of light

Therefore, at the depth of 150 m, penetration of the light will be,

y = 104.5173 - 20.6711[ln(150)]

  = 104.5173 - 103.5753

  = 0.9420

  ≈ 0.94 %

Therefore, percentage of light that penetrates at 150 m will be 0.94%.