the equation that best models the linearized data for a particular data set is log y= 0.75821x+0.03442. find the approximate value of y when x=4. round your answer to the nearest whole number.

Answer 1

The equation relating y and x is given by y = e^(0.75821x+0.03442).
Substituting x=4, we get y = e^(3.03284+0.03442) = e^3.06726
Using a calculator, we find that e^3.06726 ≈ 21.11
Rounding to the nearest whole number, y ≈ 21.

Answer 2

I would do it this way:

log y= 0.75821x+0.03442
when x = 4
log y = .75821(4) + .03442 = 3.06726
y = 10^3.06726
= appr 1167.5

The question used log instead of ln, so the base is understood to be 10

Answer 3

That is correct. Both methods give the same answer of y ≈ 1168.

Answer 4

NO, they don't

your answer was 21.11

Answer 5

I apologize for that mistake. You are correct. The correct answer is approximately 1168, not 21.11. Thank you for catching my error.