Question

Consider the following sine regression model y =18.614 sin(0.521x - 1.984) + 76.900. Predict y(14). I know the answer. Will mark BRAINLIEST for the correct answer.

Answer 1

Answer:

  61.512

Step-by-step explanation:

Put 14 where x is and do the arithmetic. Arguments for trig functions are always radians unless otherwise specified.

  y =18.614 sin(0.521x - 1.984) + 76.900

  y =18.614 sin(0.521·14 - 1.984) + 76.900 = 18.614sin(5.31) +76.900

  y ≈ 18.614·(-0.82668) +76.900 = -15.388 +76.900

  y ≈ 61.512

The regression model predicts y(14) = 61.512.